| Line | Branch | Exec | Source |
|---|---|---|---|
| 1 | /* | ||
| 2 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 3 | SLEPc - Scalable Library for Eigenvalue Problem Computations | ||
| 4 | Copyright (c) 2002-, Universitat Politecnica de Valencia, Spain | ||
| 5 | |||
| 6 | This file is part of SLEPc. | ||
| 7 | SLEPc is distributed under a 2-clause BSD license (see LICENSE). | ||
| 8 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 9 | */ | ||
| 10 | /* | ||
| 11 | SLEPc nonlinear eigensolver: "nleigs" | ||
| 12 | |||
| 13 | Method: NLEIGS | ||
| 14 | |||
| 15 | Algorithm: | ||
| 16 | |||
| 17 | Fully rational Krylov method for nonlinear eigenvalue problems. | ||
| 18 | |||
| 19 | References: | ||
| 20 | |||
| 21 | [1] S. Guttel et al., "NLEIGS: A class of robust fully rational Krylov | ||
| 22 | method for nonlinear eigenvalue problems", SIAM J. Sci. Comput. | ||
| 23 | 36(6):A2842-A2864, 2014. | ||
| 24 | */ | ||
| 25 | |||
| 26 | #include <slepc/private/nepimpl.h> /*I "slepcnep.h" I*/ | ||
| 27 | #include <slepcblaslapack.h> | ||
| 28 | #include "nleigs.h" | ||
| 29 | |||
| 30 | 125450 | PetscErrorCode NEPNLEIGSBackTransform(PetscObject ob,PetscInt n,PetscScalar *valr,PetscScalar *vali) | |
| 31 | { | ||
| 32 | 125450 | NEP nep; | |
| 33 | 125450 | PetscInt j; | |
| 34 | #if !defined(PETSC_USE_COMPLEX) | ||
| 35 | 48189 | PetscScalar t; | |
| 36 | #endif | ||
| 37 | |||
| 38 |
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125450 | PetscFunctionBegin; |
| 39 | 125450 | nep = (NEP)ob; | |
| 40 | #if !defined(PETSC_USE_COMPLEX) | ||
| 41 |
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149518 | for (j=0;j<n;j++) { |
| 42 |
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101329 | if (vali[j] == 0) valr[j] = 1.0 / valr[j] + nep->target; |
| 43 | else { | ||
| 44 | 22222 | t = valr[j] * valr[j] + vali[j] * vali[j]; | |
| 45 | 22222 | valr[j] = valr[j] / t + nep->target; | |
| 46 | 22222 | vali[j] = - vali[j] / t; | |
| 47 | } | ||
| 48 | } | ||
| 49 | #else | ||
| 50 |
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236971 | for (j=0;j<n;j++) { |
| 51 | 159710 | valr[j] = 1.0 / valr[j] + nep->target; | |
| 52 | } | ||
| 53 | #endif | ||
| 54 |
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125450 | PetscFunctionReturn(PETSC_SUCCESS); |
| 55 | } | ||
| 56 | |||
| 57 | /* Computes the roots of a polynomial */ | ||
| 58 | 24 | static PetscErrorCode NEPNLEIGSAuxiliarPRootFinder(PetscInt deg,PetscScalar *polcoeffs,PetscScalar *wr,PetscScalar *wi,PetscBool *avail) | |
| 59 | { | ||
| 60 | 24 | PetscScalar *C; | |
| 61 | 24 | PetscBLASInt n_,lwork; | |
| 62 | 24 | PetscInt i; | |
| 63 | #if defined(PETSC_USE_COMPLEX) | ||
| 64 | 12 | PetscReal *rwork=NULL; | |
| 65 | #endif | ||
| 66 | 24 | PetscScalar *work; | |
| 67 | 24 | PetscBLASInt info; | |
| 68 | |||
| 69 |
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24 | PetscFunctionBegin; |
| 70 | 24 | *avail = PETSC_TRUE; | |
| 71 |
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24 | if (deg>0) { |
| 72 |
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24 | PetscCall(PetscCalloc1(deg*deg,&C)); |
| 73 |
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24 | PetscCall(PetscBLASIntCast(deg,&n_)); |
| 74 |
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24 | for (i=0;i<deg-1;i++) { |
| 75 | ✗ | C[(deg+1)*i+1] = 1.0; | |
| 76 | ✗ | C[(deg-1)*deg+i] = -polcoeffs[deg-i]/polcoeffs[0]; | |
| 77 | } | ||
| 78 | 24 | C[deg*deg+-1] = -polcoeffs[1]/polcoeffs[0]; | |
| 79 |
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24 | PetscCall(PetscBLASIntCast(3*deg,&lwork)); |
| 80 | |||
| 81 |
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24 | PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF)); |
| 82 | #if !defined(PETSC_USE_COMPLEX) | ||
| 83 |
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12 | PetscCall(PetscMalloc1(lwork,&work)); |
| 84 |
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12 | PetscCallBLAS("LAPACKgeev",LAPACKgeev_("N","N",&n_,C,&n_,wr,wi,NULL,&n_,NULL,&n_,work,&lwork,&info)); |
| 85 |
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12 | if (info) *avail = PETSC_FALSE; |
| 86 |
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12 | PetscCall(PetscFree(work)); |
| 87 | #else | ||
| 88 |
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12 | PetscCall(PetscMalloc2(2*deg,&rwork,lwork,&work)); |
| 89 |
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12 | PetscCallBLAS("LAPACKgeev",LAPACKgeev_("N","N",&n_,C,&n_,wr,NULL,&n_,NULL,&n_,work,&lwork,rwork,&info)); |
| 90 |
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12 | if (info) *avail = PETSC_FALSE; |
| 91 |
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12 | PetscCall(PetscFree2(rwork,work)); |
| 92 | #endif | ||
| 93 |
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24 | PetscCall(PetscFPTrapPop()); |
| 94 |
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24 | PetscCall(PetscFree(C)); |
| 95 | } | ||
| 96 |
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6 | PetscFunctionReturn(PETSC_SUCCESS); |
| 97 | } | ||
| 98 | |||
| 99 | 110 | static PetscErrorCode NEPNLEIGSAuxiliarRmDuplicates(PetscInt nin,PetscScalar *pin,PetscInt *nout,PetscScalar *pout,PetscInt max) | |
| 100 | { | ||
| 101 | 110 | PetscInt i,j; | |
| 102 | |||
| 103 |
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110 | PetscFunctionBegin; |
| 104 |
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276 | for (i=0;i<nin;i++) { |
| 105 |
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166 | if (max && *nout>=max) break; |
| 106 | 166 | pout[(*nout)++] = pin[i]; | |
| 107 |
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463 | for (j=0;j<*nout-1;j++) |
| 108 |
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301 | if (PetscAbsScalar(pin[i]-pout[j])<PETSC_MACHINE_EPSILON*100) { |
| 109 | 4 | (*nout)--; | |
| 110 | 4 | break; | |
| 111 | } | ||
| 112 | } | ||
| 113 |
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110 | PetscFunctionReturn(PETSC_SUCCESS); |
| 114 | } | ||
| 115 | |||
| 116 | 88 | static PetscErrorCode NEPNLEIGSFNSingularities(FN f,PetscInt *nisol,PetscScalar **isol,PetscBool *rational) | |
| 117 | { | ||
| 118 | 88 | FNCombineType ctype; | |
| 119 | 88 | FN f1,f2; | |
| 120 | 88 | PetscInt i,nq,nisol1,nisol2; | |
| 121 | 88 | PetscScalar *qcoeff,*wr,*wi,*isol1,*isol2; | |
| 122 | 88 | PetscBool flg,avail,rat1,rat2; | |
| 123 | |||
| 124 |
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88 | PetscFunctionBegin; |
| 125 | 88 | *rational = PETSC_FALSE; | |
| 126 |
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88 | PetscCall(PetscObjectTypeCompare((PetscObject)f,FNRATIONAL,&flg)); |
| 127 |
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88 | if (flg) { |
| 128 | 80 | *rational = PETSC_TRUE; | |
| 129 |
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80 | PetscCall(FNRationalGetDenominator(f,&nq,&qcoeff)); |
| 130 |
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80 | if (nq>1) { |
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24 | PetscCall(PetscMalloc2(nq-1,&wr,nq-1,&wi)); |
| 132 |
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24 | PetscCall(NEPNLEIGSAuxiliarPRootFinder(nq-1,qcoeff,wr,wi,&avail)); |
| 133 |
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24 | if (avail) { |
| 134 |
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24 | PetscCall(PetscCalloc1(nq-1,isol)); |
| 135 | 24 | *nisol = 0; | |
| 136 |
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48 | for (i=0;i<nq-1;i++) |
| 137 | #if !defined(PETSC_USE_COMPLEX) | ||
| 138 |
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12 | if (wi[i]==0) |
| 139 | #endif | ||
| 140 | 24 | (*isol)[(*nisol)++] = wr[i]; | |
| 141 | 24 | nq = *nisol; *nisol = 0; | |
| 142 |
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48 | for (i=0;i<nq;i++) wr[i] = (*isol)[i]; |
| 143 |
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24 | PetscCall(NEPNLEIGSAuxiliarRmDuplicates(nq,wr,nisol,*isol,0)); |
| 144 |
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24 | PetscCall(PetscFree2(wr,wi)); |
| 145 | ✗ | } else { *nisol=0; *isol = NULL; } | |
| 146 | 56 | } else { *nisol = 0; *isol = NULL; } | |
| 147 |
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80 | PetscCall(PetscFree(qcoeff)); |
| 148 | } | ||
| 149 |
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88 | PetscCall(PetscObjectTypeCompare((PetscObject)f,FNCOMBINE,&flg)); |
| 150 |
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88 | if (flg) { |
| 151 |
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8 | PetscCall(FNCombineGetChildren(f,&ctype,&f1,&f2)); |
| 152 |
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8 | if (ctype != FN_COMBINE_COMPOSE && ctype != FN_COMBINE_DIVIDE) { |
| 153 |
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8 | PetscCall(NEPNLEIGSFNSingularities(f1,&nisol1,&isol1,&rat1)); |
| 154 |
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8 | PetscCall(NEPNLEIGSFNSingularities(f2,&nisol2,&isol2,&rat2)); |
| 155 |
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8 | if (nisol1+nisol2>0) { |
| 156 |
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8 | PetscCall(PetscCalloc1(nisol1+nisol2,isol)); |
| 157 | 8 | *nisol = 0; | |
| 158 |
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8 | PetscCall(NEPNLEIGSAuxiliarRmDuplicates(nisol1,isol1,nisol,*isol,0)); |
| 159 |
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8 | PetscCall(NEPNLEIGSAuxiliarRmDuplicates(nisol2,isol2,nisol,*isol,0)); |
| 160 | } | ||
| 161 |
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8 | *rational = (rat1&&rat2)?PETSC_TRUE:PETSC_FALSE; |
| 162 |
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8 | PetscCall(PetscFree(isol1)); |
| 163 |
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8 | PetscCall(PetscFree(isol2)); |
| 164 | } | ||
| 165 | } | ||
| 166 |
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22 | PetscFunctionReturn(PETSC_SUCCESS); |
| 167 | } | ||
| 168 | |||
| 169 | 24 | static PetscErrorCode NEPNLEIGSRationalSingularities(NEP nep,PetscInt *ndptx,PetscScalar *dxi,PetscBool *rational) | |
| 170 | { | ||
| 171 | 24 | PetscInt nt,i,nisol; | |
| 172 | 24 | FN f; | |
| 173 | 24 | PetscScalar *isol; | |
| 174 | 24 | PetscBool rat; | |
| 175 | |||
| 176 |
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24 | PetscFunctionBegin; |
| 177 | 24 | *rational = PETSC_TRUE; | |
| 178 | 24 | *ndptx = 0; | |
| 179 |
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24 | PetscCall(NEPGetSplitOperatorInfo(nep,&nt,NULL)); |
| 180 |
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96 | for (i=0;i<nt;i++) { |
| 181 |
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72 | PetscCall(NEPGetSplitOperatorTerm(nep,i,NULL,&f)); |
| 182 |
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72 | PetscCall(NEPNLEIGSFNSingularities(f,&nisol,&isol,&rat)); |
| 183 |
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72 | if (nisol) { |
| 184 |
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24 | PetscCall(NEPNLEIGSAuxiliarRmDuplicates(nisol,isol,ndptx,dxi,0)); |
| 185 |
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24 | PetscCall(PetscFree(isol)); |
| 186 | } | ||
| 187 |
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72 | *rational = ((*rational)&&rat)?PETSC_TRUE:PETSC_FALSE; |
| 188 | } | ||
| 189 |
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6 | PetscFunctionReturn(PETSC_SUCCESS); |
| 190 | } | ||
| 191 | |||
| 192 | #if defined(SLEPC_MISSING_LAPACK_GGEV3) | ||
| 193 | #define LAPGEEV "ggev" | ||
| 194 | #else | ||
| 195 | #define LAPGEEV "ggev3" | ||
| 196 | #endif | ||
| 197 | |||
| 198 | /* Adaptive Anderson-Antoulas algorithm */ | ||
| 199 | 189 | static PetscErrorCode NEPNLEIGSAAAComputation(NEP nep,PetscInt ndpt,PetscScalar *ds,PetscScalar *F,PetscInt *ndptx,PetscScalar *dxi) | |
| 200 | { | ||
| 201 | 189 | NEP_NLEIGS *ctx=(NEP_NLEIGS*)nep->data; | |
| 202 | 189 | PetscScalar mean=0.0,*z,*f,*C,*A,*VT,*work,*ww,szero=0.0,sone=1.0; | |
| 203 | 189 | PetscScalar *N,*D; | |
| 204 | 189 | PetscReal *S,norm,err,*R; | |
| 205 | 189 | PetscInt i,k,j,idx=0,cont; | |
| 206 | 189 | PetscBLASInt n_,m_,lda_,lwork,info,one=1; | |
| 207 | #if defined(PETSC_USE_COMPLEX) | ||
| 208 | 99 | PetscReal *rwork; | |
| 209 | #endif | ||
| 210 | |||
| 211 |
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189 | PetscFunctionBegin; |
| 212 |
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189 | PetscCall(PetscBLASIntCast(8*ndpt,&lwork)); |
| 213 |
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189 | PetscCall(PetscMalloc5(ndpt,&R,ndpt,&z,ndpt,&f,ndpt*ndpt,&C,ndpt,&ww)); |
| 214 |
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189 | PetscCall(PetscMalloc6(ndpt*ndpt,&A,ndpt,&S,ndpt*ndpt,&VT,lwork,&work,ndpt,&D,ndpt,&N)); |
| 215 | #if defined(PETSC_USE_COMPLEX) | ||
| 216 |
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99 | PetscCall(PetscMalloc1(8*ndpt,&rwork)); |
| 217 | #endif | ||
| 218 |
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189 | PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF)); |
| 219 | norm = 0.0; | ||
| 220 |
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19089 | for (i=0;i<ndpt;i++) { |
| 221 | 18900 | mean += F[i]; | |
| 222 |
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28565 | norm = PetscMax(PetscAbsScalar(F[i]),norm); |
| 223 | } | ||
| 224 | 189 | mean /= ndpt; | |
| 225 |
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189 | PetscCall(PetscBLASIntCast(ndpt,&lda_)); |
| 226 |
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19089 | for (i=0;i<ndpt;i++) R[i] = PetscAbsScalar(F[i]-mean); |
| 227 | /* next support point */ | ||
| 228 | err = 0.0; | ||
| 229 |
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19089 | for (i=0;i<ndpt;i++) if (R[i]>=err) {idx = i; err = R[i];} |
| 230 |
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435 | for (k=0;k<ndpt-1;k++) { |
| 231 | 435 | z[k] = ds[idx]; f[k] = F[idx]; R[idx] = -1.0; | |
| 232 | /* next column of Cauchy matrix */ | ||
| 233 |
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43935 | for (i=0;i<ndpt;i++) { |
| 234 | 43500 | C[i+k*ndpt] = 1.0/(ds[i]-ds[idx]); | |
| 235 | } | ||
| 236 | |||
| 237 |
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435 | PetscCall(PetscArrayzero(A,ndpt*ndpt)); |
| 238 | cont = 0; | ||
| 239 |
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43935 | for (i=0;i<ndpt;i++) { |
| 240 |
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43500 | if (R[i]!=-1.0) { |
| 241 |
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127432 | for (j=0;j<=k;j++)A[cont+j*ndpt] = C[i+j*ndpt]*F[i]-C[i+j*ndpt]*f[j]; |
| 242 | 42626 | cont++; | |
| 243 | } | ||
| 244 | } | ||
| 245 |
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435 | PetscCall(PetscBLASIntCast(cont,&m_)); |
| 246 |
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435 | PetscCall(PetscBLASIntCast(k+1,&n_)); |
| 247 | #if defined(PETSC_USE_COMPLEX) | ||
| 248 |
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243 | PetscCallBLAS("LAPACKgesvd",LAPACKgesvd_("N","A",&m_,&n_,A,&lda_,S,NULL,&lda_,VT,&lda_,work,&lwork,rwork,&info)); |
| 249 | #else | ||
| 250 |
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192 | PetscCallBLAS("LAPACKgesvd",LAPACKgesvd_("N","A",&m_,&n_,A,&lda_,S,NULL,&lda_,VT,&lda_,work,&lwork,&info)); |
| 251 | #endif | ||
| 252 |
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435 | SlepcCheckLapackInfo("gesvd",info); |
| 253 |
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1309 | for (i=0;i<=k;i++) { |
| 254 | 874 | ww[i] = PetscConj(VT[i*ndpt+k]); | |
| 255 | 874 | D[i] = ww[i]*f[i]; | |
| 256 | } | ||
| 257 |
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435 | PetscCallBLAS("BLASgemv",BLASgemv_("N",&lda_,&n_,&sone,C,&lda_,D,&one,&szero,N,&one)); |
| 258 |
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435 | PetscCallBLAS("BLASgemv",BLASgemv_("N",&lda_,&n_,&sone,C,&lda_,ww,&one,&szero,D,&one)); |
| 259 |
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43935 | for (i=0;i<ndpt;i++) if (R[i]>=0) R[i] = PetscAbsScalar(F[i]-N[i]/D[i]); |
| 260 | /* next support point */ | ||
| 261 | err = 0.0; | ||
| 262 |
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43935 | for (i=0;i<ndpt;i++) if (R[i]>=err) {idx = i; err = R[i];} |
| 263 |
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435 | if (err <= ctx->ddtol*norm) break; |
| 264 | } | ||
| 265 | |||
| 266 |
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189 | PetscCheck(k<ndpt-1,PetscObjectComm((PetscObject)nep),PETSC_ERR_CONV_FAILED,"Failed to determine singularities automatically in general problem"); |
| 267 | /* poles */ | ||
| 268 |
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189 | PetscCall(PetscArrayzero(C,ndpt*ndpt)); |
| 269 |
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189 | PetscCall(PetscArrayzero(A,ndpt*ndpt)); |
| 270 |
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624 | for (i=0;i<=k;i++) { |
| 271 | 435 | C[i+ndpt*i] = 1.0; | |
| 272 | 435 | A[(i+1)*ndpt] = ww[i]; | |
| 273 | 435 | A[i+1] = 1.0; | |
| 274 | 435 | A[i+1+(i+1)*ndpt] = z[i]; | |
| 275 | } | ||
| 276 | 189 | C[0] = 0.0; C[k+1+(k+1)*ndpt] = 1.0; | |
| 277 | 189 | n_++; | |
| 278 | #if defined(PETSC_USE_COMPLEX) | ||
| 279 |
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99 | PetscCallBLAS("LAPACK" LAPGEEV,LAPACKggevalt_("N","N",&n_,A,&lda_,C,&lda_,D,N,NULL,&lda_,NULL,&lda_,work,&lwork,rwork,&info)); |
| 280 | #else | ||
| 281 |
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90 | PetscCallBLAS("LAPACK" LAPGEEV,LAPACKggevalt_("N","N",&n_,A,&lda_,C,&lda_,D,VT,N,NULL,&lda_,NULL,&lda_,work,&lwork,&info)); |
| 282 | #endif | ||
| 283 |
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189 | SlepcCheckLapackInfo(LAPGEEV,info); |
| 284 | cont = 0.0; | ||
| 285 |
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813 | for (i=0;i<n_;i++) if (N[i]!=0.0) { |
| 286 | 199 | dxi[cont++] = D[i]/N[i]; | |
| 287 | } | ||
| 288 | 189 | *ndptx = cont; | |
| 289 |
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189 | PetscCall(PetscFPTrapPop()); |
| 290 |
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189 | PetscCall(PetscFree5(R,z,f,C,ww)); |
| 291 |
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189 | PetscCall(PetscFree6(A,S,VT,work,D,N)); |
| 292 | #if defined(PETSC_USE_COMPLEX) | ||
| 293 |
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99 | PetscCall(PetscFree(rwork)); |
| 294 | #endif | ||
| 295 |
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47 | PetscFunctionReturn(PETSC_SUCCESS); |
| 296 | } | ||
| 297 | |||
| 298 | /* Singularities using Adaptive Anderson-Antoulas algorithm */ | ||
| 299 | 100 | static PetscErrorCode NEPNLEIGSAAASingularities(NEP nep,PetscInt ndpt,PetscScalar *ds,PetscInt *ndptx,PetscScalar *dxi) | |
| 300 | { | ||
| 301 | 100 | Vec u,v,w; | |
| 302 | 100 | PetscRandom rand=NULL; | |
| 303 | 100 | PetscScalar *F,*isol; | |
| 304 | 100 | PetscInt i,k,nisol,nt; | |
| 305 | 100 | Mat T; | |
| 306 | 100 | FN f; | |
| 307 | |||
| 308 |
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100 | PetscFunctionBegin; |
| 309 |
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100 | PetscCall(PetscMalloc1(ndpt,&F)); |
| 310 |
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100 | if (nep->fui==NEP_USER_INTERFACE_SPLIT) { |
| 311 |
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43 | PetscCall(PetscMalloc1(ndpt,&isol)); |
| 312 | 43 | *ndptx = 0; | |
| 313 |
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43 | PetscCall(NEPGetSplitOperatorInfo(nep,&nt,NULL)); |
| 314 | 43 | nisol = *ndptx; | |
| 315 |
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175 | for (k=0;k<nt;k++) { |
| 316 |
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132 | PetscCall(NEPGetSplitOperatorTerm(nep,k,NULL,&f)); |
| 317 |
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13332 | for (i=0;i<ndpt;i++) PetscCall(FNEvaluateFunction(f,ds[i],&F[i])); |
| 318 |
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132 | PetscCall(NEPNLEIGSAAAComputation(nep,ndpt,ds,F,&nisol,isol)); |
| 319 |
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132 | if (nisol) PetscCall(NEPNLEIGSAuxiliarRmDuplicates(nisol,isol,ndptx,dxi,ndpt)); |
| 320 | } | ||
| 321 |
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43 | PetscCall(PetscFree(isol)); |
| 322 | } else { | ||
| 323 |
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57 | PetscCall(MatCreateVecs(nep->function,&u,NULL)); |
| 324 |
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57 | PetscCall(VecDuplicate(u,&v)); |
| 325 |
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57 | PetscCall(VecDuplicate(u,&w)); |
| 326 |
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57 | if (nep->V) PetscCall(BVGetRandomContext(nep->V,&rand)); |
| 327 |
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57 | PetscCall(VecSetRandom(u,rand)); |
| 328 |
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57 | PetscCall(VecNormalize(u,NULL)); |
| 329 |
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57 | PetscCall(VecSetRandom(v,rand)); |
| 330 |
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57 | PetscCall(VecNormalize(v,NULL)); |
| 331 | 57 | T = nep->function; | |
| 332 |
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5757 | for (i=0;i<ndpt;i++) { |
| 333 |
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5700 | PetscCall(NEPComputeFunction(nep,ds[i],T,T)); |
| 334 |
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5700 | PetscCall(MatMult(T,v,w)); |
| 335 |
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5700 | PetscCall(VecDot(w,u,&F[i])); |
| 336 | } | ||
| 337 |
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57 | PetscCall(NEPNLEIGSAAAComputation(nep,ndpt,ds,F,ndptx,dxi)); |
| 338 |
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57 | PetscCall(VecDestroy(&u)); |
| 339 |
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57 | PetscCall(VecDestroy(&v)); |
| 340 |
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57 | PetscCall(VecDestroy(&w)); |
| 341 | } | ||
| 342 |
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100 | PetscCall(PetscFree(F)); |
| 343 |
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24 | PetscFunctionReturn(PETSC_SUCCESS); |
| 344 | } | ||
| 345 | |||
| 346 | 234 | static PetscErrorCode NEPNLEIGSLejaBagbyPoints(NEP nep) | |
| 347 | { | ||
| 348 | 234 | NEP_NLEIGS *ctx=(NEP_NLEIGS*)nep->data; | |
| 349 | 234 | PetscInt i,k,ndpt=NDPOINTS,ndptx=NDPOINTS; | |
| 350 | 234 | PetscScalar *ds,*dsi,*dxi,*nrs,*nrxi,*s=ctx->s,*xi=ctx->xi,*beta=ctx->beta; | |
| 351 | 234 | PetscReal maxnrs,minnrxi; | |
| 352 | 234 | PetscBool rational; | |
| 353 | #if !defined(PETSC_USE_COMPLEX) | ||
| 354 | 116 | PetscReal a,b,h; | |
| 355 | #endif | ||
| 356 | |||
| 357 |
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234 | PetscFunctionBegin; |
| 358 |
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234 | if (!ctx->computesingularities && nep->problem_type!=NEP_RATIONAL) ndpt = ndptx = LBPOINTS; |
| 359 |
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234 | PetscCall(PetscMalloc5(ndpt+1,&ds,ndpt+1,&dsi,ndpt,&dxi,ndpt+1,&nrs,ndpt,&nrxi)); |
| 360 | |||
| 361 | /* Discretize the target region boundary */ | ||
| 362 |
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234 | PetscCall(RGComputeContour(nep->rg,ndpt,ds,dsi)); |
| 363 | #if !defined(PETSC_USE_COMPLEX) | ||
| 364 |
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585116 | for (i=0;i<ndpt;i++) if (dsi[i]!=0.0) break; |
| 365 |
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116 | if (i<ndpt) { |
| 366 |
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8 | PetscCheck(nep->problem_type==NEP_RATIONAL,PetscObjectComm((PetscObject)nep),PETSC_ERR_SUP,"NLEIGS with real arithmetic requires the target set to be included in the real axis"); |
| 367 | /* Select a segment in the real axis */ | ||
| 368 |
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8 | PetscCall(RGComputeBoundingBox(nep->rg,&a,&b,NULL,NULL)); |
| 369 |
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8 | PetscCheck(a>-PETSC_MAX_REAL && b<PETSC_MAX_REAL,PetscObjectComm((PetscObject)nep),PETSC_ERR_USER_INPUT,"NLEIGS requires a bounded target set"); |
| 370 | 8 | h = (b-a)/ndpt; | |
| 371 |
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80008 | for (i=0;i<ndpt;i++) {ds[i] = a+h*i; dsi[i] = 0.0;} |
| 372 | } | ||
| 373 | #endif | ||
| 374 | /* Discretize the singularity region */ | ||
| 375 |
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234 | if (ctx->computesingularities) PetscCall(ctx->computesingularities(nep,&ndptx,dxi,ctx->singularitiesctx)); |
| 376 | else { | ||
| 377 |
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124 | if (nep->problem_type==NEP_RATIONAL) { |
| 378 |
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24 | PetscCall(NEPNLEIGSRationalSingularities(nep,&ndptx,dxi,&rational)); |
| 379 |
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24 | PetscCheck(rational,PetscObjectComm((PetscObject)nep),PETSC_ERR_CONV_FAILED,"Failed to determine singularities automatically in rational problem; consider solving the problem as general"); |
| 380 | } else { | ||
| 381 | /* AAA algorithm */ | ||
| 382 |
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100 | PetscCall(NEPNLEIGSAAASingularities(nep,ndpt,ds,&ndptx,dxi)); |
| 383 | } | ||
| 384 | } | ||
| 385 | /* Look for Leja-Bagby points in the discretization sets */ | ||
| 386 | 234 | s[0] = ds[0]; | |
| 387 |
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234 | xi[0] = (ndptx>0)?dxi[0]:PETSC_INFINITY; |
| 388 |
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234 | PetscCheck(PetscAbsScalar(xi[0])>=10*PETSC_MACHINE_EPSILON,PetscObjectComm((PetscObject)nep),PETSC_ERR_USER_INPUT,"Singularity point 0 is nearly zero: %g; consider removing the singularity or shifting the problem",(double)PetscAbsScalar(xi[0])); |
| 389 | 234 | beta[0] = 1.0; /* scaling factors are also computed here */ | |
| 390 |
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1350234 | for (i=0;i<ndpt;i++) { |
| 391 | 1350000 | nrs[i] = 1.0; | |
| 392 | 1350000 | nrxi[i] = 1.0; | |
| 393 | } | ||
| 394 |
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20300 | for (k=1;k<ctx->ddmaxit;k++) { |
| 395 | maxnrs = 0.0; | ||
| 396 | 109402066 | minnrxi = PETSC_MAX_REAL; | |
| 397 |
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109402066 | for (i=0;i<ndpt;i++) { |
| 398 | 109382000 | nrs[i] *= ((ds[i]-s[k-1])/(1.0-ds[i]/xi[k-1]))/beta[k-1]; | |
| 399 |
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109382000 | if (PetscAbsScalar(nrs[i])>maxnrs) {maxnrs = PetscAbsScalar(nrs[i]); s[k] = ds[i];} |
| 400 | } | ||
| 401 |
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20066 | if (ndptx>k) { |
| 402 |
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84700658 | for (i=1;i<ndptx;i++) { |
| 403 | 84692093 | nrxi[i] *= ((dxi[i]-s[k-1])/(1.0-dxi[i]/xi[k-1]))/beta[k-1]; | |
| 404 |
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84692093 | if (PetscAbsScalar(nrxi[i])<minnrxi) {minnrxi = PetscAbsScalar(nrxi[i]); xi[k] = dxi[i];} |
| 405 | } | ||
| 406 |
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8565 | PetscCheck(PetscAbsScalar(xi[k])>=10*PETSC_MACHINE_EPSILON,PetscObjectComm((PetscObject)nep),PETSC_ERR_USER_INPUT,"Singularity point %" PetscInt_FMT " is nearly zero: %g; consider removing the singularity or shifting the problem",k,(double)PetscAbsScalar(xi[k])); |
| 407 | 11501 | } else xi[k] = PETSC_INFINITY; | |
| 408 | 20066 | beta[k] = maxnrs; | |
| 409 | } | ||
| 410 |
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234 | PetscCall(PetscFree5(ds,dsi,dxi,nrs,nrxi)); |
| 411 |
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54 | PetscFunctionReturn(PETSC_SUCCESS); |
| 412 | } | ||
| 413 | |||
| 414 | 10332 | PetscErrorCode NEPNLEIGSEvalNRTFunct(NEP nep,PetscInt k,PetscScalar sigma,PetscScalar *b) | |
| 415 | { | ||
| 416 | 10332 | NEP_NLEIGS *ctx=(NEP_NLEIGS*)nep->data; | |
| 417 | 10332 | PetscInt i; | |
| 418 | 10332 | PetscScalar *beta=ctx->beta,*s=ctx->s,*xi=ctx->xi; | |
| 419 | |||
| 420 |
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10332 | PetscFunctionBegin; |
| 421 | 10332 | b[0] = 1.0/beta[0]; | |
| 422 |
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103399 | for (i=0;i<k;i++) { |
| 423 | 93067 | b[i+1] = ((sigma-s[i])*b[i])/(beta[i+1]*(1.0-sigma/xi[i])); | |
| 424 | } | ||
| 425 |
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10332 | PetscFunctionReturn(PETSC_SUCCESS); |
| 426 | } | ||
| 427 | |||
| 428 | 145801 | static PetscErrorCode MatMult_Fun(Mat A,Vec x,Vec y) | |
| 429 | { | ||
| 430 | 145801 | NEP_NLEIGS_MATSHELL *ctx; | |
| 431 | 145801 | PetscInt i; | |
| 432 | |||
| 433 |
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145801 | PetscFunctionBeginUser; |
| 434 |
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145801 | PetscCall(MatShellGetContext(A,&ctx)); |
| 435 |
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145801 | PetscCall(MatMult(ctx->A[0],x,y)); |
| 436 |
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145801 | if (ctx->coeff[0]!=1.0) PetscCall(VecScale(y,ctx->coeff[0])); |
| 437 |
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1718675 | for (i=1;i<ctx->nmat;i++) { |
| 438 |
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1572874 | PetscCall(MatMult(ctx->A[i],x,ctx->t)); |
| 439 |
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1572874 | PetscCall(VecAXPY(y,ctx->coeff[i],ctx->t)); |
| 440 | } | ||
| 441 |
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36115 | PetscFunctionReturn(PETSC_SUCCESS); |
| 442 | } | ||
| 443 | |||
| 444 | 130522 | static PetscErrorCode MatMultTranspose_Fun(Mat A,Vec x,Vec y) | |
| 445 | { | ||
| 446 | 130522 | NEP_NLEIGS_MATSHELL *ctx; | |
| 447 | 130522 | PetscInt i; | |
| 448 | |||
| 449 |
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130522 | PetscFunctionBeginUser; |
| 450 |
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130522 | PetscCall(MatShellGetContext(A,&ctx)); |
| 451 |
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130522 | PetscCall(MatMultTranspose(ctx->A[0],x,y)); |
| 452 |
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130522 | if (ctx->coeff[0]!=1.0) PetscCall(VecScale(y,ctx->coeff[0])); |
| 453 |
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1556921 | for (i=1;i<ctx->nmat;i++) { |
| 454 |
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1426399 | PetscCall(MatMultTranspose(ctx->A[i],x,ctx->t)); |
| 455 |
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1426399 | PetscCall(VecAXPY(y,ctx->coeff[i],ctx->t)); |
| 456 | } | ||
| 457 |
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32626 | PetscFunctionReturn(PETSC_SUCCESS); |
| 458 | } | ||
| 459 | |||
| 460 | 48 | static PetscErrorCode MatGetDiagonal_Fun(Mat A,Vec diag) | |
| 461 | { | ||
| 462 | 48 | NEP_NLEIGS_MATSHELL *ctx; | |
| 463 | 48 | PetscInt i; | |
| 464 | |||
| 465 |
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48 | PetscFunctionBeginUser; |
| 466 |
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48 | PetscCall(MatShellGetContext(A,&ctx)); |
| 467 |
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48 | PetscCall(MatGetDiagonal(ctx->A[0],diag)); |
| 468 |
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48 | if (ctx->coeff[0]!=1.0) PetscCall(VecScale(diag,ctx->coeff[0])); |
| 469 |
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588 | for (i=1;i<ctx->nmat;i++) { |
| 470 |
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540 | PetscCall(MatGetDiagonal(ctx->A[i],ctx->t)); |
| 471 |
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540 | PetscCall(VecAXPY(diag,ctx->coeff[i],ctx->t)); |
| 472 | } | ||
| 473 |
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12 | PetscFunctionReturn(PETSC_SUCCESS); |
| 474 | } | ||
| 475 | |||
| 476 | 29 | static PetscErrorCode MatDuplicate_Fun(Mat A,MatDuplicateOption op,Mat *B) | |
| 477 | { | ||
| 478 | 29 | PetscInt m,n,M,N,i; | |
| 479 | 29 | NEP_NLEIGS_MATSHELL *ctxnew,*ctx; | |
| 480 | 29 | PetscErrorCodeFn *fun; | |
| 481 | |||
| 482 |
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29 | PetscFunctionBeginUser; |
| 483 |
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29 | PetscCall(MatShellGetContext(A,&ctx)); |
| 484 |
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29 | PetscCall(PetscNew(&ctxnew)); |
| 485 | 29 | ctxnew->nmat = ctx->nmat; | |
| 486 | 29 | ctxnew->maxnmat = ctx->maxnmat; | |
| 487 |
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29 | PetscCall(PetscMalloc2(ctxnew->maxnmat,&ctxnew->A,ctxnew->maxnmat,&ctxnew->coeff)); |
| 488 |
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58 | for (i=0;i<ctx->nmat;i++) { |
| 489 |
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29 | PetscCall(PetscObjectReference((PetscObject)ctx->A[i])); |
| 490 | 29 | ctxnew->A[i] = ctx->A[i]; | |
| 491 | 29 | ctxnew->coeff[i] = ctx->coeff[i]; | |
| 492 | } | ||
| 493 |
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29 | PetscCall(MatGetSize(ctx->A[0],&M,&N)); |
| 494 |
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29 | PetscCall(MatGetLocalSize(ctx->A[0],&m,&n)); |
| 495 |
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29 | PetscCall(VecDuplicate(ctx->t,&ctxnew->t)); |
| 496 |
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29 | PetscCall(MatCreateShell(PetscObjectComm((PetscObject)A),m,n,M,N,(void*)ctxnew,B)); |
| 497 |
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29 | PetscCall(MatShellSetManageScalingShifts(*B)); |
| 498 |
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29 | PetscCall(MatShellGetOperation(A,MATOP_MULT,&fun)); |
| 499 |
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29 | PetscCall(MatShellSetOperation(*B,MATOP_MULT,fun)); |
| 500 |
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29 | PetscCall(MatShellGetOperation(A,MATOP_MULT_TRANSPOSE,&fun)); |
| 501 |
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29 | PetscCall(MatShellSetOperation(*B,MATOP_MULT_TRANSPOSE,fun)); |
| 502 |
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29 | PetscCall(MatShellGetOperation(A,MATOP_GET_DIAGONAL,&fun)); |
| 503 |
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29 | PetscCall(MatShellSetOperation(*B,MATOP_GET_DIAGONAL,fun)); |
| 504 |
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29 | PetscCall(MatShellGetOperation(A,MATOP_DUPLICATE,&fun)); |
| 505 |
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29 | PetscCall(MatShellSetOperation(*B,MATOP_DUPLICATE,fun)); |
| 506 |
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29 | PetscCall(MatShellGetOperation(A,MATOP_DESTROY,&fun)); |
| 507 |
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29 | PetscCall(MatShellSetOperation(*B,MATOP_DESTROY,fun)); |
| 508 |
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29 | PetscCall(MatShellGetOperation(A,MATOP_AXPY,&fun)); |
| 509 |
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29 | PetscCall(MatShellSetOperation(*B,MATOP_AXPY,fun)); |
| 510 |
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6 | PetscFunctionReturn(PETSC_SUCCESS); |
| 511 | } | ||
| 512 | |||
| 513 | 632 | static PetscErrorCode MatDestroy_Fun(Mat A) | |
| 514 | { | ||
| 515 | 632 | NEP_NLEIGS_MATSHELL *ctx; | |
| 516 | 632 | PetscInt i; | |
| 517 | |||
| 518 |
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632 | PetscFunctionBeginUser; |
| 519 |
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632 | if (A) { |
| 520 |
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632 | PetscCall(MatShellGetContext(A,&ctx)); |
| 521 |
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7637 | for (i=0;i<ctx->nmat;i++) PetscCall(MatDestroy(&ctx->A[i])); |
| 522 |
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632 | PetscCall(VecDestroy(&ctx->t)); |
| 523 |
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632 | PetscCall(PetscFree2(ctx->A,ctx->coeff)); |
| 524 |
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632 | PetscCall(PetscFree(ctx)); |
| 525 | } | ||
| 526 |
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153 | PetscFunctionReturn(PETSC_SUCCESS); |
| 527 | } | ||
| 528 | |||
| 529 | 6373 | static PetscErrorCode MatAXPY_Fun(Mat Y,PetscScalar a,Mat X,MatStructure str) | |
| 530 | { | ||
| 531 | 6373 | NEP_NLEIGS_MATSHELL *ctxY,*ctxX; | |
| 532 | 6373 | PetscInt i,j; | |
| 533 | 6373 | PetscBool found; | |
| 534 | |||
| 535 |
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6373 | PetscFunctionBeginUser; |
| 536 |
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6373 | PetscCall(MatShellGetContext(Y,&ctxY)); |
| 537 |
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6373 | PetscCall(MatShellGetContext(X,&ctxX)); |
| 538 |
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58306 | for (i=0;i<ctxX->nmat;i++) { |
| 539 | found = PETSC_FALSE; | ||
| 540 |
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422414 | for (j=0;!found&&j<ctxY->nmat;j++) { |
| 541 |
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370481 | if (ctxX->A[i]==ctxY->A[j]) { |
| 542 | 45560 | found = PETSC_TRUE; | |
| 543 | 45560 | ctxY->coeff[j] += a*ctxX->coeff[i]; | |
| 544 | } | ||
| 545 | } | ||
| 546 |
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51933 | if (!found) { |
| 547 | 6373 | ctxY->coeff[ctxY->nmat] = a*ctxX->coeff[i]; | |
| 548 | 6373 | ctxY->A[ctxY->nmat++] = ctxX->A[i]; | |
| 549 |
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51933 | PetscCall(PetscObjectReference((PetscObject)ctxX->A[i])); |
| 550 | } | ||
| 551 | } | ||
| 552 |
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1587 | PetscFunctionReturn(PETSC_SUCCESS); |
| 553 | } | ||
| 554 | |||
| 555 | 488 | static PetscErrorCode MatScale_Fun(Mat M,PetscScalar a) | |
| 556 | { | ||
| 557 | 488 | NEP_NLEIGS_MATSHELL *ctx; | |
| 558 | 488 | PetscInt i; | |
| 559 | |||
| 560 |
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488 | PetscFunctionBeginUser; |
| 561 |
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488 | PetscCall(MatShellGetContext(M,&ctx)); |
| 562 |
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6473 | for (i=0;i<ctx->nmat;i++) ctx->coeff[i] *= a; |
| 563 |
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120 | PetscFunctionReturn(PETSC_SUCCESS); |
| 564 | } | ||
| 565 | |||
| 566 | 603 | static PetscErrorCode NLEIGSMatToMatShellArray(Mat A,Mat *Ms,PetscInt maxnmat) | |
| 567 | { | ||
| 568 | 603 | NEP_NLEIGS_MATSHELL *ctx; | |
| 569 | 603 | PetscInt m,n,M,N; | |
| 570 | 603 | PetscBool has; | |
| 571 | |||
| 572 |
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603 | PetscFunctionBegin; |
| 573 |
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603 | PetscCall(MatHasOperation(A,MATOP_DUPLICATE,&has)); |
| 574 |
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603 | PetscCheck(has,PetscObjectComm((PetscObject)A),PETSC_ERR_USER,"MatDuplicate operation required"); |
| 575 |
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603 | PetscCall(PetscNew(&ctx)); |
| 576 | 603 | ctx->maxnmat = maxnmat; | |
| 577 |
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603 | PetscCall(PetscMalloc2(ctx->maxnmat,&ctx->A,ctx->maxnmat,&ctx->coeff)); |
| 578 |
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603 | PetscCall(MatDuplicate(A,MAT_COPY_VALUES,&ctx->A[0])); |
| 579 | 603 | ctx->nmat = 1; | |
| 580 | 603 | ctx->coeff[0] = 1.0; | |
| 581 |
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603 | PetscCall(MatCreateVecs(A,&ctx->t,NULL)); |
| 582 |
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603 | PetscCall(MatGetSize(A,&M,&N)); |
| 583 |
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603 | PetscCall(MatGetLocalSize(A,&m,&n)); |
| 584 |
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603 | PetscCall(MatCreateShell(PetscObjectComm((PetscObject)A),m,n,M,N,(void*)ctx,Ms)); |
| 585 |
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603 | PetscCall(MatShellSetManageScalingShifts(*Ms)); |
| 586 |
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603 | PetscCall(MatShellSetOperation(*Ms,MATOP_MULT,(PetscErrorCodeFn*)MatMult_Fun)); |
| 587 |
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603 | PetscCall(MatShellSetOperation(*Ms,MATOP_MULT_TRANSPOSE,(PetscErrorCodeFn*)MatMultTranspose_Fun)); |
| 588 |
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603 | PetscCall(MatShellSetOperation(*Ms,MATOP_GET_DIAGONAL,(PetscErrorCodeFn*)MatGetDiagonal_Fun)); |
| 589 |
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603 | PetscCall(MatShellSetOperation(*Ms,MATOP_DUPLICATE,(PetscErrorCodeFn*)MatDuplicate_Fun)); |
| 590 |
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603 | PetscCall(MatShellSetOperation(*Ms,MATOP_DESTROY,(PetscErrorCodeFn*)MatDestroy_Fun)); |
| 591 |
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603 | PetscCall(MatShellSetOperation(*Ms,MATOP_AXPY,(PetscErrorCodeFn*)MatAXPY_Fun)); |
| 592 |
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603 | PetscCall(MatShellSetOperation(*Ms,MATOP_SCALE,(PetscErrorCodeFn*)MatScale_Fun)); |
| 593 |
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147 | PetscFunctionReturn(PETSC_SUCCESS); |
| 594 | } | ||
| 595 | |||
| 596 | /* | ||
| 597 | MatIsShellAny - returns true if any of the n matrices is a shell matrix | ||
| 598 | */ | ||
| 599 | 130 | static PetscErrorCode MatIsShellAny(Mat *A,PetscInt n,PetscBool *shell) | |
| 600 | { | ||
| 601 | 130 | PetscInt i; | |
| 602 | 130 | PetscBool flg; | |
| 603 | |||
| 604 |
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130 | PetscFunctionBegin; |
| 605 | 130 | *shell = PETSC_FALSE; | |
| 606 |
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412 | for (i=0;i<n;i++) { |
| 607 |
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306 | PetscCall(MatIsShell(A[i],&flg)); |
| 608 |
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306 | if (flg) { *shell = PETSC_TRUE; break; } |
| 609 | } | ||
| 610 |
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31 | PetscFunctionReturn(PETSC_SUCCESS); |
| 611 | } | ||
| 612 | |||
| 613 | 130 | static PetscErrorCode NEPNLEIGSDividedDifferences_split(NEP nep) | |
| 614 | { | ||
| 615 | 130 | PetscErrorCode ierr; | |
| 616 | 130 | NEP_NLEIGS *ctx=(NEP_NLEIGS*)nep->data; | |
| 617 | 130 | PetscInt k,j,i,maxnmat,nmax; | |
| 618 | 130 | PetscReal norm0,norm,*matnorm; | |
| 619 | 130 | PetscScalar *s=ctx->s,*beta=ctx->beta,*xi=ctx->xi,*b,alpha,*coeffs,*pK,*pH,sone=1.0; | |
| 620 | 130 | Mat T,P,Ts,K,H; | |
| 621 | 130 | PetscBool shell,hasmnorm=PETSC_FALSE,matrix=PETSC_TRUE; | |
| 622 | 130 | PetscBLASInt n_; | |
| 623 | |||
| 624 |
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130 | PetscFunctionBegin; |
| 625 | 130 | nmax = ctx->ddmaxit; | |
| 626 |
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130 | PetscCall(PetscMalloc1(nep->nt*nmax,&ctx->coeffD)); |
| 627 |
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130 | PetscCall(PetscMalloc3(nmax+1,&b,nmax+1,&coeffs,nep->nt,&matnorm)); |
| 628 |
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412 | for (j=0;j<nep->nt;j++) { |
| 629 |
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306 | PetscCall(MatHasOperation(nep->A[j],MATOP_NORM,&hasmnorm)); |
| 630 |
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306 | if (!hasmnorm) break; |
| 631 |
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282 | PetscCall(MatNorm(nep->A[j],NORM_INFINITY,matnorm+j)); |
| 632 | } | ||
| 633 | /* Try matrix functions scheme */ | ||
| 634 |
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130 | PetscCall(PetscCalloc2(nmax*nmax,&pK,nmax*nmax,&pH)); |
| 635 |
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10670 | for (i=0;i<nmax-1;i++) { |
| 636 | 10540 | pK[(nmax+1)*i] = 1.0; | |
| 637 | 10540 | pK[(nmax+1)*i+1] = beta[i+1]/xi[i]; | |
| 638 | 10540 | pH[(nmax+1)*i] = s[i]; | |
| 639 | 10540 | pH[(nmax+1)*i+1] = beta[i+1]; | |
| 640 | } | ||
| 641 | 130 | pH[nmax*nmax-1] = s[nmax-1]; | |
| 642 | 130 | pK[nmax*nmax-1] = 1.0; | |
| 643 |
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130 | PetscCall(PetscBLASIntCast(nmax,&n_)); |
| 644 |
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130 | PetscCallBLAS("BLAStrsm",BLAStrsm_("R","L","N","U",&n_,&n_,&sone,pK,&n_,pH,&n_)); |
| 645 | /* The matrix to be used is in H. K will be a work-space matrix */ | ||
| 646 |
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130 | PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,nmax,nmax,pH,&H)); |
| 647 |
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130 | PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,nmax,nmax,pK,&K)); |
| 648 |
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460 | for (j=0;matrix&&j<nep->nt;j++) { |
| 649 |
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330 | PetscCall(PetscPushErrorHandler(PetscReturnErrorHandler,NULL)); |
| 650 | 330 | ierr = FNEvaluateFunctionMat(nep->f[j],H,K); | |
| 651 |
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330 | PetscCall(PetscPopErrorHandler()); |
| 652 |
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330 | if (!ierr) { |
| 653 |
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27990 | for (i=0;i<nmax;i++) ctx->coeffD[j+i*nep->nt] = pK[i]*beta[0]; |
| 654 | } else { | ||
| 655 | ✗ | matrix = PETSC_FALSE; | |
| 656 |
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330 | PetscCall(PetscFPTrapPop()); |
| 657 | } | ||
| 658 | } | ||
| 659 |
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130 | PetscCall(MatDestroy(&H)); |
| 660 |
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130 | PetscCall(MatDestroy(&K)); |
| 661 |
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130 | if (!matrix) { |
| 662 | ✗ | for (j=0;j<nep->nt;j++) { | |
| 663 | ✗ | PetscCall(FNEvaluateFunction(nep->f[j],s[0],ctx->coeffD+j)); | |
| 664 | ✗ | ctx->coeffD[j] *= beta[0]; | |
| 665 | } | ||
| 666 | } | ||
| 667 |
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130 | if (hasmnorm) { |
| 668 | norm0 = 0.0; | ||
| 669 |
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388 | for (j=0;j<nep->nt;j++) norm0 += matnorm[j]*PetscAbsScalar(ctx->coeffD[j]); |
| 670 | } else { | ||
| 671 | norm0 = 0.0; | ||
| 672 |
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72 | for (j=0;j<nep->nt;j++) norm0 = PetscMax(PetscAbsScalar(ctx->coeffD[j]),norm0); |
| 673 | } | ||
| 674 | 130 | ctx->nmat = ctx->ddmaxit; | |
| 675 |
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1530 | for (k=1;k<ctx->ddmaxit;k++) { |
| 676 |
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1514 | if (!matrix) { |
| 677 | ✗ | PetscCall(NEPNLEIGSEvalNRTFunct(nep,k,s[k],b)); | |
| 678 | ✗ | for (i=0;i<nep->nt;i++) { | |
| 679 | ✗ | PetscCall(FNEvaluateFunction(nep->f[i],s[k],ctx->coeffD+k*nep->nt+i)); | |
| 680 | ✗ | for (j=0;j<k;j++) { | |
| 681 | ✗ | ctx->coeffD[k*nep->nt+i] -= b[j]*ctx->coeffD[i+nep->nt*j]; | |
| 682 | } | ||
| 683 | ✗ | ctx->coeffD[k*nep->nt+i] /= b[k]; | |
| 684 | } | ||
| 685 | } | ||
| 686 |
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1514 | if (hasmnorm) { |
| 687 | norm = 0.0; | ||
| 688 |
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3402 | for (j=0;j<nep->nt;j++) norm += matnorm[j]*PetscAbsScalar(ctx->coeffD[k*nep->nt+j]); |
| 689 | } else { | ||
| 690 | norm = 0.0; | ||
| 691 |
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1440 | for (j=0;j<nep->nt;j++) norm = PetscMax(PetscAbsScalar(ctx->coeffD[k*nep->nt+j]),norm); |
| 692 | } | ||
| 693 |
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1514 | if (k>1 && norm/norm0 < ctx->ddtol) { |
| 694 | 114 | ctx->nmat = k+1; | |
| 695 | 114 | break; | |
| 696 | } | ||
| 697 | } | ||
| 698 |
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130 | if (!ctx->ksp) PetscCall(NEPNLEIGSGetKSPs(nep,&ctx->nshiftsw,&ctx->ksp)); |
| 699 |
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130 | PetscCall(MatIsShellAny(nep->A,nep->nt,&shell)); |
| 700 | 130 | maxnmat = PetscMax(ctx->ddmaxit,nep->nt); | |
| 701 |
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308 | for (i=0;i<ctx->nshiftsw;i++) { |
| 702 |
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178 | PetscCall(NEPNLEIGSEvalNRTFunct(nep,ctx->nmat-1,ctx->shifts[i],coeffs)); |
| 703 |
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178 | if (!shell) PetscCall(MatDuplicate(nep->A[0],MAT_COPY_VALUES,&T)); |
| 704 |
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24 | else PetscCall(NLEIGSMatToMatShellArray(nep->A[0],&T,maxnmat)); |
| 705 |
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178 | if (nep->P) { /* user-defined preconditioner */ |
| 706 |
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8 | PetscCall(MatDuplicate(nep->P[0],MAT_COPY_VALUES,&P)); |
| 707 | 170 | } else P=T; | |
| 708 | 178 | alpha = 0.0; | |
| 709 |
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2782 | for (j=0;j<ctx->nmat;j++) alpha += coeffs[j]*ctx->coeffD[j*nep->nt]; |
| 710 |
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178 | PetscCall(MatScale(T,alpha)); |
| 711 |
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178 | if (nep->P) PetscCall(MatScale(P,alpha)); |
| 712 |
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426 | for (k=1;k<nep->nt;k++) { |
| 713 | alpha = 0.0; | ||
| 714 |
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3222 | for (j=0;j<ctx->nmat;j++) alpha += coeffs[j]*ctx->coeffD[j*nep->nt+k]; |
| 715 |
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248 | if (shell) PetscCall(NLEIGSMatToMatShellArray(nep->A[k],&Ts,maxnmat)); |
| 716 |
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248 | PetscCall(MatAXPY(T,alpha,shell?Ts:nep->A[k],nep->mstr)); |
| 717 |
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248 | if (nep->P) PetscCall(MatAXPY(P,alpha,nep->P[k],nep->mstrp)); |
| 718 |
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248 | if (shell) PetscCall(MatDestroy(&Ts)); |
| 719 | } | ||
| 720 |
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178 | PetscCall(NEP_KSPSetOperators(ctx->ksp[i],T,P)); |
| 721 |
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178 | PetscCall(KSPSetUp(ctx->ksp[i])); |
| 722 |
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178 | PetscCall(MatDestroy(&T)); |
| 723 |
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178 | if (nep->P) PetscCall(MatDestroy(&P)); |
| 724 | } | ||
| 725 |
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130 | PetscCall(PetscFree3(b,coeffs,matnorm)); |
| 726 |
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130 | PetscCall(PetscFree2(pK,pH)); |
| 727 |
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|
31 | PetscFunctionReturn(PETSC_SUCCESS); |
| 728 | } | ||
| 729 | |||
| 730 | 104 | static PetscErrorCode NEPNLEIGSDividedDifferences_callback(NEP nep) | |
| 731 | { | ||
| 732 | 104 | NEP_NLEIGS *ctx=(NEP_NLEIGS*)nep->data; | |
| 733 | 104 | PetscInt k,j,i,maxnmat; | |
| 734 | 104 | PetscReal norm0,norm; | |
| 735 | 104 | PetscScalar *s=ctx->s,*beta=ctx->beta,*b,*coeffs; | |
| 736 | 104 | Mat *D=ctx->D,*DP,T,P; | |
| 737 | 104 | PetscBool shell,has,vec=PETSC_FALSE,precond=(nep->function_pre!=nep->function)?PETSC_TRUE:PETSC_FALSE; | |
| 738 | 104 | PetscRandom rand=NULL; | |
| 739 | 104 | Vec w[2]; | |
| 740 | |||
| 741 |
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104 | PetscFunctionBegin; |
| 742 |
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104 | PetscCall(PetscMalloc2(ctx->ddmaxit+1,&b,ctx->ddmaxit+1,&coeffs)); |
| 743 |
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|
104 | if (nep->V) PetscCall(BVGetRandomContext(nep->V,&rand)); |
| 744 | 104 | T = nep->function; | |
| 745 | 104 | P = nep->function_pre; | |
| 746 |
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104 | PetscCall(NEPComputeFunction(nep,s[0],T,P)); |
| 747 |
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104 | PetscCall(MatIsShell(T,&shell)); |
| 748 | 104 | maxnmat = PetscMax(ctx->ddmaxit,nep->nt); | |
| 749 |
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104 | if (!shell) PetscCall(MatDuplicate(T,MAT_COPY_VALUES,&D[0])); |
| 750 |
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29 | else PetscCall(NLEIGSMatToMatShellArray(T,&D[0],maxnmat)); |
| 751 |
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104 | if (beta[0]!=1.0) PetscCall(MatScale(D[0],1.0/beta[0])); |
| 752 |
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104 | PetscCall(MatHasOperation(D[0],MATOP_NORM,&has)); |
| 753 |
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104 | if (has) PetscCall(MatNorm(D[0],NORM_FROBENIUS,&norm0)); |
| 754 | else { | ||
| 755 |
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29 | PetscCall(MatCreateVecs(D[0],NULL,&w[0])); |
| 756 |
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29 | PetscCall(VecDuplicate(w[0],&w[1])); |
| 757 |
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29 | PetscCall(VecDuplicate(w[0],&ctx->vrn)); |
| 758 |
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29 | PetscCall(VecSetRandomNormal(ctx->vrn,rand,w[0],w[1])); |
| 759 |
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29 | PetscCall(VecNormalize(ctx->vrn,NULL)); |
| 760 | 29 | vec = PETSC_TRUE; | |
| 761 |
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29 | PetscCall(MatNormEstimate(D[0],ctx->vrn,w[0],&norm0)); |
| 762 | } | ||
| 763 |
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104 | if (precond) { |
| 764 |
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8 | PetscCall(PetscMalloc1(ctx->ddmaxit,&DP)); |
| 765 |
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8 | PetscCall(MatDuplicate(P,MAT_COPY_VALUES,&DP[0])); |
| 766 | } | ||
| 767 | 104 | ctx->nmat = ctx->ddmaxit; | |
| 768 |
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1160 | for (k=1;k<ctx->ddmaxit;k++) { |
| 769 |
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1152 | PetscCall(NEPNLEIGSEvalNRTFunct(nep,k,s[k],b)); |
| 770 |
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1152 | PetscCall(NEPComputeFunction(nep,s[k],T,P)); |
| 771 |
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1152 | if (!shell) PetscCall(MatDuplicate(T,MAT_COPY_VALUES,&D[k])); |
| 772 |
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526 | else PetscCall(NLEIGSMatToMatShellArray(T,&D[k],maxnmat)); |
| 773 |
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12414 | for (j=0;j<k;j++) PetscCall(MatAXPY(D[k],-b[j],D[j],nep->mstr)); |
| 774 |
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1152 | PetscCall(MatScale(D[k],1.0/b[k])); |
| 775 |
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1152 | PetscCall(MatHasOperation(D[k],MATOP_NORM,&has)); |
| 776 |
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1152 | if (has) PetscCall(MatNorm(D[k],NORM_FROBENIUS,&norm)); |
| 777 | else { | ||
| 778 |
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|
526 | if (!vec) { |
| 779 | ✗ | PetscCall(MatCreateVecs(D[k],NULL,&w[0])); | |
| 780 | ✗ | PetscCall(VecDuplicate(w[0],&w[1])); | |
| 781 | ✗ | PetscCall(VecDuplicate(w[0],&ctx->vrn)); | |
| 782 | ✗ | PetscCall(VecSetRandomNormal(ctx->vrn,rand,w[0],w[1])); | |
| 783 | ✗ | PetscCall(VecNormalize(ctx->vrn,NULL)); | |
| 784 | vec = PETSC_TRUE; | ||
| 785 | } | ||
| 786 |
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526 | PetscCall(MatNormEstimate(D[k],ctx->vrn,w[0],&norm)); |
| 787 | } | ||
| 788 |
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1152 | if (precond) { |
| 789 |
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20 | PetscCall(MatDuplicate(P,MAT_COPY_VALUES,&DP[k])); |
| 790 |
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56 | for (j=0;j<k;j++) PetscCall(MatAXPY(DP[k],-b[j],DP[j],nep->mstrp)); |
| 791 |
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20 | PetscCall(MatScale(DP[k],1.0/b[k])); |
| 792 | } | ||
| 793 |
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1152 | if (k>1 && norm/norm0 < ctx->ddtol && k>1) { |
| 794 | 96 | ctx->nmat = k+1; | |
| 795 | 96 | break; | |
| 796 | } | ||
| 797 | } | ||
| 798 |
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104 | if (!ctx->ksp) PetscCall(NEPNLEIGSGetKSPs(nep,&ctx->nshiftsw,&ctx->ksp)); |
| 799 |
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232 | for (i=0;i<ctx->nshiftsw;i++) { |
| 800 |
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128 | PetscCall(NEPNLEIGSEvalNRTFunct(nep,ctx->nmat-1,ctx->shifts[i],coeffs)); |
| 801 |
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128 | PetscCall(MatDuplicate(D[0],MAT_COPY_VALUES,&T)); |
| 802 |
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128 | if (coeffs[0]!=1.0) PetscCall(MatScale(T,coeffs[0])); |
| 803 |
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1736 | for (j=1;j<ctx->nmat;j++) PetscCall(MatAXPY(T,coeffs[j],D[j],nep->mstr)); |
| 804 |
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128 | if (precond) { |
| 805 |
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8 | PetscCall(MatDuplicate(DP[0],MAT_COPY_VALUES,&P)); |
| 806 |
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8 | if (coeffs[0]!=1.0) PetscCall(MatScale(P,coeffs[0])); |
| 807 |
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28 | for (j=1;j<ctx->nmat;j++) PetscCall(MatAXPY(P,coeffs[j],DP[j],nep->mstrp)); |
| 808 | 120 | } else P=T; | |
| 809 |
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128 | PetscCall(NEP_KSPSetOperators(ctx->ksp[i],T,P)); |
| 810 |
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128 | PetscCall(KSPSetUp(ctx->ksp[i])); |
| 811 |
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128 | PetscCall(MatDestroy(&T)); |
| 812 | } | ||
| 813 |
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104 | PetscCall(PetscFree2(b,coeffs)); |
| 814 |
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104 | if (vec) { |
| 815 |
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29 | PetscCall(VecDestroy(&w[0])); |
| 816 |
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29 | PetscCall(VecDestroy(&w[1])); |
| 817 | } | ||
| 818 |
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104 | if (precond) { |
| 819 |
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8 | PetscCall(MatDestroy(&P)); |
| 820 |
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8 | PetscCall(MatDestroyMatrices(ctx->nmat,&DP)); |
| 821 | } | ||
| 822 |
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23 | PetscFunctionReturn(PETSC_SUCCESS); |
| 823 | } | ||
| 824 | |||
| 825 | /* | ||
| 826 | NEPKrylovConvergence - This is the analogue to EPSKrylovConvergence. | ||
| 827 | */ | ||
| 828 | 553 | static PetscErrorCode NEPNLEIGSKrylovConvergence(NEP nep,PetscBool getall,PetscInt kini,PetscInt nits,PetscReal betah,PetscScalar betak,PetscInt *kout,Vec *w) | |
| 829 | { | ||
| 830 | 553 | PetscInt k,newk,marker,inside; | |
| 831 | 553 | PetscScalar re,im; | |
| 832 | 553 | PetscReal resnorm,tt; | |
| 833 | 553 | PetscBool istrivial; | |
| 834 | 553 | NEP_NLEIGS *ctx = (NEP_NLEIGS*)nep->data; | |
| 835 | |||
| 836 |
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553 | PetscFunctionBegin; |
| 837 |
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553 | PetscCall(RGIsTrivial(nep->rg,&istrivial)); |
| 838 | 553 | marker = -1; | |
| 839 |
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553 | if (nep->trackall) getall = PETSC_TRUE; |
| 840 |
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1530 | for (k=kini;k<kini+nits;k++) { |
| 841 | /* eigenvalue */ | ||
| 842 | 1530 | re = nep->eigr[k]; | |
| 843 | 1530 | im = nep->eigi[k]; | |
| 844 |
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1530 | if (!istrivial) { |
| 845 |
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1530 | if (!ctx->nshifts) PetscCall(NEPNLEIGSBackTransform((PetscObject)nep,1,&re,&im)); |
| 846 |
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1530 | PetscCall(RGCheckInside(nep->rg,1,&re,&im,&inside)); |
| 847 |
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1530 | if (marker==-1 && inside<0) marker = k; |
| 848 | } | ||
| 849 | 1530 | newk = k; | |
| 850 |
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1530 | PetscCall(DSVectors(nep->ds,DS_MAT_X,&newk,&resnorm)); |
| 851 |
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1530 | tt = (ctx->nshifts)?SlepcAbsEigenvalue(betak-nep->eigr[k]*betah,nep->eigi[k]*betah):betah; |
| 852 | 1530 | resnorm *= PetscAbsReal(tt); | |
| 853 | /* error estimate */ | ||
| 854 |
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1530 | PetscCall((*nep->converged)(nep,nep->eigr[k],nep->eigi[k],resnorm,&nep->errest[k],nep->convergedctx)); |
| 855 |
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1530 | if (marker==-1 && nep->errest[k] >= nep->tol) marker = k; |
| 856 |
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1530 | if (newk==k+1) { |
| 857 | ✗ | nep->errest[k+1] = nep->errest[k]; | |
| 858 | ✗ | k++; | |
| 859 | } | ||
| 860 |
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1530 | if (marker!=-1 && !getall) break; |
| 861 | } | ||
| 862 |
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553 | if (marker!=-1) k = marker; |
| 863 | 553 | *kout = k; | |
| 864 |
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553 | PetscFunctionReturn(PETSC_SUCCESS); |
| 865 | } | ||
| 866 | |||
| 867 | 234 | static PetscErrorCode NEPSetUp_NLEIGS(NEP nep) | |
| 868 | { | ||
| 869 | 234 | PetscInt k,in; | |
| 870 | 234 | PetscScalar zero=0.0; | |
| 871 | 234 | NEP_NLEIGS *ctx=(NEP_NLEIGS*)nep->data; | |
| 872 | 234 | SlepcSC sc; | |
| 873 | 234 | PetscBool istrivial; | |
| 874 | |||
| 875 |
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234 | PetscFunctionBegin; |
| 876 |
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234 | PetscCall(NEPSetDimensions_Default(nep,nep->nev,&nep->ncv,&nep->mpd)); |
| 877 |
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234 | PetscCheck(nep->ncv<=nep->nev+nep->mpd,PetscObjectComm((PetscObject)nep),PETSC_ERR_USER_INPUT,"The value of ncv must not be larger than nev+mpd"); |
| 878 |
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234 | if (nep->max_it==PETSC_DETERMINE) nep->max_it = PetscMax(5000,2*nep->n/nep->ncv); |
| 879 |
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234 | if (!ctx->ddmaxit) ctx->ddmaxit = LBPOINTS; |
| 880 |
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234 | PetscCall(RGIsTrivial(nep->rg,&istrivial)); |
| 881 |
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234 | PetscCheck(!istrivial,PetscObjectComm((PetscObject)nep),PETSC_ERR_SUP,"NEPNLEIGS requires a nontrivial region defining the target set"); |
| 882 |
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234 | if (!nep->which) nep->which = NEP_TARGET_MAGNITUDE; |
| 883 |
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234 | PetscCheck(nep->which==NEP_TARGET_MAGNITUDE || nep->which==NEP_TARGET_REAL || nep->which==NEP_TARGET_IMAGINARY || nep->which==NEP_WHICH_USER,PetscObjectComm((PetscObject)nep),PETSC_ERR_SUP,"This solver supports only target selection of eigenvalues"); |
| 884 | |||
| 885 | /* Initialize the NLEIGS context structure */ | ||
| 886 | 234 | k = ctx->ddmaxit; | |
| 887 |
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234 | PetscCall(PetscMalloc4(k,&ctx->s,k,&ctx->xi,k,&ctx->beta,k,&ctx->D)); |
| 888 | 234 | nep->data = ctx; | |
| 889 |
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234 | if (nep->tol==(PetscReal)PETSC_DETERMINE) nep->tol = SLEPC_DEFAULT_TOL; |
| 890 |
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234 | if (ctx->ddtol==(PetscReal)PETSC_DETERMINE) ctx->ddtol = nep->tol/10.0; |
| 891 |
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234 | if (!ctx->keep) ctx->keep = 0.5; |
| 892 | |||
| 893 | /* Compute Leja-Bagby points and scaling values */ | ||
| 894 |
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234 | PetscCall(NEPNLEIGSLejaBagbyPoints(nep)); |
| 895 |
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234 | if (nep->problem_type!=NEP_RATIONAL) { |
| 896 |
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210 | PetscCall(RGCheckInside(nep->rg,1,&nep->target,&zero,&in)); |
| 897 |
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210 | PetscCheck(in>=0,PetscObjectComm((PetscObject)nep),PETSC_ERR_SUP,"The target is not inside the target set"); |
| 898 | } | ||
| 899 | |||
| 900 | /* Compute the divided difference matrices */ | ||
| 901 |
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234 | if (nep->fui==NEP_USER_INTERFACE_SPLIT) PetscCall(NEPNLEIGSDividedDifferences_split(nep)); |
| 902 |
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104 | else PetscCall(NEPNLEIGSDividedDifferences_callback(nep)); |
| 903 |
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234 | PetscCall(NEPAllocateSolution(nep,ctx->nmat-1)); |
| 904 |
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234 | PetscCall(NEPSetWorkVecs(nep,4)); |
| 905 |
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234 | if (!ctx->fullbasis) { |
| 906 |
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210 | PetscCheck(!nep->twosided,PetscObjectComm((PetscObject)nep),PETSC_ERR_SUP,"Two-sided variant requires the full-basis option, rerun with -nep_nleigs_full_basis"); |
| 907 | /* set-up DS and transfer split operator functions */ | ||
| 908 |
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396 | PetscCall(DSSetType(nep->ds,ctx->nshifts?DSGNHEP:DSNHEP)); |
| 909 |
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210 | PetscCall(DSAllocate(nep->ds,nep->ncv+1)); |
| 910 |
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210 | PetscCall(DSGetSlepcSC(nep->ds,&sc)); |
| 911 |
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210 | if (!ctx->nshifts) sc->map = NEPNLEIGSBackTransform; |
| 912 |
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210 | PetscCall(DSSetExtraRow(nep->ds,PETSC_TRUE)); |
| 913 | 210 | sc->mapobj = (PetscObject)nep; | |
| 914 | 210 | sc->rg = nep->rg; | |
| 915 | 210 | sc->comparison = nep->sc->comparison; | |
| 916 | 210 | sc->comparisonctx = nep->sc->comparisonctx; | |
| 917 |
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210 | PetscCall(BVDestroy(&ctx->V)); |
| 918 |
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210 | PetscCall(BVCreateTensor(nep->V,ctx->nmat-1,&ctx->V)); |
| 919 | 210 | nep->ops->solve = NEPSolve_NLEIGS; | |
| 920 | 210 | nep->ops->computevectors = NEPComputeVectors_Schur; | |
| 921 | } else { | ||
| 922 |
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24 | PetscCall(NEPSetUp_NLEIGS_FullBasis(nep)); |
| 923 | 24 | nep->ops->solve = NEPSolve_NLEIGS_FullBasis; | |
| 924 | 24 | nep->ops->computevectors = NULL; | |
| 925 | } | ||
| 926 |
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54 | PetscFunctionReturn(PETSC_SUCCESS); |
| 927 | } | ||
| 928 | |||
| 929 | /* | ||
| 930 | Extend the TOAR basis by applying the matrix operator | ||
| 931 | over a vector which is decomposed on the TOAR way | ||
| 932 | Input: | ||
| 933 | - S,V: define the latest Arnoldi vector (nv vectors in V) | ||
| 934 | Output: | ||
| 935 | - t: new vector extending the TOAR basis | ||
| 936 | - r: temporally coefficients to compute the TOAR coefficients | ||
| 937 | for the new Arnoldi vector | ||
| 938 | Workspace: t_ (two vectors) | ||
| 939 | */ | ||
| 940 | 7658 | static PetscErrorCode NEPTOARExtendBasis(NEP nep,PetscInt idxrktg,PetscScalar *S,PetscInt ls,PetscInt nv,BV W,BV V,Vec t,PetscScalar *r,PetscInt lr,Vec *t_) | |
| 941 | { | ||
| 942 | 7658 | NEP_NLEIGS *ctx=(NEP_NLEIGS*)nep->data; | |
| 943 | 7658 | PetscInt deg=ctx->nmat-1,k,j; | |
| 944 | 7658 | Vec v=t_[0],q=t_[1],w; | |
| 945 | 7658 | PetscScalar *beta=ctx->beta,*s=ctx->s,*xi=ctx->xi,*coeffs,sigma; | |
| 946 | |||
| 947 |
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7658 | PetscFunctionBegin; |
| 948 |
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7658 | if (!ctx->ksp) PetscCall(NEPNLEIGSGetKSPs(nep,&ctx->nshiftsw,&ctx->ksp)); |
| 949 | 7658 | sigma = ctx->shifts[idxrktg]; | |
| 950 |
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7658 | PetscCall(BVSetActiveColumns(nep->V,0,nv)); |
| 951 |
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7658 | PetscCall(PetscMalloc1(ctx->nmat,&coeffs)); |
| 952 |
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7658 | PetscCheck(PetscAbsScalar(s[deg-2]-sigma)>100*PETSC_MACHINE_EPSILON,PETSC_COMM_SELF,PETSC_ERR_CONV_FAILED,"Breakdown in NLEIGS"); |
| 953 | /* i-part stored in (i-1) position */ | ||
| 954 |
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210751 | for (j=0;j<nv;j++) { |
| 955 | 203093 | r[(deg-2)*lr+j] = (S[(deg-2)*ls+j]+(beta[deg-1]/xi[deg-2])*S[(deg-1)*ls+j])/(s[deg-2]-sigma); | |
| 956 | } | ||
| 957 |
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7658 | PetscCall(BVSetActiveColumns(W,0,deg)); |
| 958 |
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7658 | PetscCall(BVGetColumn(W,deg-1,&w)); |
| 959 |
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7658 | PetscCall(BVMultVec(V,1.0/beta[deg],0,w,S+(deg-1)*ls)); |
| 960 |
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|
7658 | PetscCall(BVRestoreColumn(W,deg-1,&w)); |
| 961 |
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|
7658 | PetscCall(BVGetColumn(W,deg-2,&w)); |
| 962 |
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|
7658 | PetscCall(BVMultVec(V,1.0,0.0,w,r+(deg-2)*lr)); |
| 963 |
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|
7658 | PetscCall(BVRestoreColumn(W,deg-2,&w)); |
| 964 |
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|
74795 | for (k=deg-2;k>0;k--) { |
| 965 |
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|
67137 | PetscCheck(PetscAbsScalar(s[k-1]-sigma)>100*PETSC_MACHINE_EPSILON,PETSC_COMM_SELF,PETSC_ERR_CONV_FAILED,"Breakdown in NLEIGS"); |
| 966 |
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|
2064906 | for (j=0;j<nv;j++) r[(k-1)*lr+j] = (S[(k-1)*ls+j]+(beta[k]/xi[k-1])*S[k*ls+j]-beta[k]*(1.0-sigma/xi[k-1])*r[(k)*lr+j])/(s[k-1]-sigma); |
| 967 |
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67137 | PetscCall(BVGetColumn(W,k-1,&w)); |
| 968 |
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67137 | PetscCall(BVMultVec(V,1.0,0.0,w,r+(k-1)*lr)); |
| 969 |
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67137 | PetscCall(BVRestoreColumn(W,k-1,&w)); |
| 970 | } | ||
| 971 |
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|
7658 | if (nep->fui==NEP_USER_INTERFACE_SPLIT) { |
| 972 |
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|
53940 | for (j=0;j<ctx->nmat-2;j++) coeffs[j] = ctx->coeffD[nep->nt*j]; |
| 973 | 5459 | coeffs[ctx->nmat-2] = ctx->coeffD[nep->nt*(ctx->nmat-1)]; | |
| 974 |
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|
5459 | PetscCall(BVMultVec(W,1.0,0.0,v,coeffs)); |
| 975 |
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|
5459 | PetscCall(MatMult(nep->A[0],v,q)); |
| 976 |
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|
14828 | for (k=1;k<nep->nt;k++) { |
| 977 |
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74870 | for (j=0;j<ctx->nmat-2;j++) coeffs[j] = ctx->coeffD[nep->nt*j+k]; |
| 978 | 9369 | coeffs[ctx->nmat-2] = ctx->coeffD[nep->nt*(ctx->nmat-1)+k]; | |
| 979 |
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9369 | PetscCall(BVMultVec(W,1.0,0,v,coeffs)); |
| 980 |
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|
9369 | PetscCall(MatMult(nep->A[k],v,t)); |
| 981 |
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|
9369 | PetscCall(VecAXPY(q,1.0,t)); |
| 982 | } | ||
| 983 |
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|
5459 | PetscCall(KSPSolve(ctx->ksp[idxrktg],q,t)); |
| 984 |
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|
5459 | PetscCall(VecScale(t,-1.0)); |
| 985 | } else { | ||
| 986 |
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28513 | for (k=0;k<deg-1;k++) { |
| 987 |
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|
26314 | PetscCall(BVGetColumn(W,k,&w)); |
| 988 |
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|
26314 | PetscCall(MatMult(ctx->D[k],w,q)); |
| 989 |
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|
26314 | PetscCall(BVRestoreColumn(W,k,&w)); |
| 990 |
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|
26314 | PetscCall(BVInsertVec(W,k,q)); |
| 991 | } | ||
| 992 |
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|
2199 | PetscCall(BVGetColumn(W,deg-1,&w)); |
| 993 |
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|
2199 | PetscCall(MatMult(ctx->D[deg],w,q)); |
| 994 |
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2199 | PetscCall(BVRestoreColumn(W,k,&w)); |
| 995 |
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|
2199 | PetscCall(BVInsertVec(W,k,q)); |
| 996 |
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|
30712 | for (j=0;j<ctx->nmat-1;j++) coeffs[j] = 1.0; |
| 997 |
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|
2199 | PetscCall(BVMultVec(W,1.0,0.0,q,coeffs)); |
| 998 |
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|
2199 | PetscCall(KSPSolve(ctx->ksp[idxrktg],q,t)); |
| 999 |
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|
2199 | PetscCall(VecScale(t,-1.0)); |
| 1000 | } | ||
| 1001 |
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|
7658 | PetscCall(PetscFree(coeffs)); |
| 1002 |
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|
1830 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1003 | } | ||
| 1004 | |||
| 1005 | /* | ||
| 1006 | Compute TOAR coefficients of the blocks of the new Arnoldi vector computed | ||
| 1007 | */ | ||
| 1008 | 7658 | static PetscErrorCode NEPTOARCoefficients(NEP nep,PetscScalar sigma,PetscInt nv,PetscScalar *S,PetscInt ls,PetscScalar *r,PetscInt lr,PetscScalar *x,PetscScalar *work) | |
| 1009 | { | ||
| 1010 | 7658 | NEP_NLEIGS *ctx=(NEP_NLEIGS*)nep->data; | |
| 1011 | 7658 | PetscInt k,j,d=ctx->nmat-1; | |
| 1012 | 7658 | PetscScalar *t=work; | |
| 1013 | |||
| 1014 |
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7658 | PetscFunctionBegin; |
| 1015 |
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7658 | PetscCall(NEPNLEIGSEvalNRTFunct(nep,d-1,sigma,t)); |
| 1016 |
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|
82453 | for (k=0;k<d-1;k++) { |
| 1017 |
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|
2341960 | for (j=0;j<=nv;j++) r[k*lr+j] += t[k]*x[j]; |
| 1018 | } | ||
| 1019 |
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|
217973 | for (j=0;j<=nv;j++) r[(d-1)*lr+j] = t[d-1]*x[j]; |
| 1020 |
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|
1830 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1021 | } | ||
| 1022 | |||
| 1023 | /* | ||
| 1024 | Compute continuation vector coefficients for the Rational-Krylov run. | ||
| 1025 | dim(work) >= (end-ini)*(end-ini+1) + end+1 + 2*(end-ini+1), dim(t) = end. | ||
| 1026 | */ | ||
| 1027 | 7658 | static PetscErrorCode NEPNLEIGS_RKcontinuation(NEP nep,PetscInt ini,PetscInt end,PetscScalar *K,PetscScalar *H,PetscInt ld,PetscScalar sigma,PetscScalar *S,PetscInt lds,PetscScalar *cont,PetscScalar *t,PetscScalar *work) | |
| 1028 | { | ||
| 1029 | 7658 | PetscScalar *x,*W,*tau,sone=1.0,szero=0.0; | |
| 1030 | 7658 | PetscInt i,j,n1,n,nwu=0; | |
| 1031 | 7658 | PetscBLASInt info,n_,n1_,one=1,dim,lds_; | |
| 1032 | 7658 | NEP_NLEIGS *ctx = (NEP_NLEIGS*)nep->data; | |
| 1033 | |||
| 1034 |
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7658 | PetscFunctionBegin; |
| 1035 |
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|
7658 | if (!ctx->nshifts || !end) { |
| 1036 | 7090 | t[0] = 1; | |
| 1037 |
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|
7090 | PetscCall(PetscArraycpy(cont,S+end*lds,lds)); |
| 1038 | } else { | ||
| 1039 | 568 | n = end-ini; | |
| 1040 | 568 | n1 = n+1; | |
| 1041 | 568 | x = work+nwu; | |
| 1042 | 568 | nwu += end+1; | |
| 1043 | 568 | tau = work+nwu; | |
| 1044 | 568 | nwu += n; | |
| 1045 | 568 | W = work+nwu; | |
| 1046 | 568 | nwu += n1*n; | |
| 1047 |
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6400 | for (j=ini;j<end;j++) { |
| 1048 |
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|
84504 | for (i=ini;i<=end;i++) W[(j-ini)*n1+i-ini] = K[j*ld+i] -H[j*ld+i]*sigma; |
| 1049 | } | ||
| 1050 |
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|
568 | PetscCall(PetscBLASIntCast(n,&n_)); |
| 1051 |
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568 | PetscCall(PetscBLASIntCast(n1,&n1_)); |
| 1052 |
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|
568 | PetscCall(PetscBLASIntCast(end+1,&dim)); |
| 1053 |
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|
568 | PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF)); |
| 1054 |
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|
568 | PetscCallBLAS("LAPACKgeqrf",LAPACKgeqrf_(&n1_,&n_,W,&n1_,tau,work+nwu,&n1_,&info)); |
| 1055 |
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568 | SlepcCheckLapackInfo("geqrf",info); |
| 1056 |
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6400 | for (i=0;i<end;i++) t[i] = 0.0; |
| 1057 | 568 | t[end] = 1.0; | |
| 1058 |
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6400 | for (j=n-1;j>=0;j--) { |
| 1059 |
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|
39336 | for (i=0;i<ini+j;i++) x[i] = 0.0; |
| 1060 | 5832 | x[ini+j] = 1.0; | |
| 1061 |
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|
45168 | for (i=j+1;i<n1;i++) x[i+ini] = W[i+n1*j]; |
| 1062 | 5832 | tau[j] = PetscConj(tau[j]); | |
| 1063 |
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|
5832 | PetscCallBLAS("LAPACKlarf",LAPACKlarf_("L",&dim,&one,x,&one,tau+j,t,&dim,work+nwu)); |
| 1064 | } | ||
| 1065 |
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568 | PetscCall(PetscBLASIntCast(lds,&lds_)); |
| 1066 |
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|
568 | PetscCallBLAS("BLASgemv",BLASgemv_("N",&lds_,&n1_,&sone,S,&lds_,t,&one,&szero,cont,&one)); |
| 1067 |
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|
568 | PetscCall(PetscFPTrapPop()); |
| 1068 | } | ||
| 1069 |
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|
1830 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1070 | } | ||
| 1071 | |||
| 1072 | /* | ||
| 1073 | Compute a run of Arnoldi iterations | ||
| 1074 | */ | ||
| 1075 | 553 | static PetscErrorCode NEPNLEIGSTOARrun(NEP nep,Mat MK,Mat MH,BV W,PetscInt k,PetscInt *M,PetscReal *betah,PetscScalar *betak,PetscBool *breakdown,Vec *t_) | |
| 1076 | { | ||
| 1077 | 553 | NEP_NLEIGS *ctx = (NEP_NLEIGS*)nep->data; | |
| 1078 | 553 | PetscInt i,j,m=*M,lwa,deg=ctx->nmat-1,lds,nqt,ld,l,ldh; | |
| 1079 | 553 | Vec t; | |
| 1080 | 553 | PetscReal norm=0.0; | |
| 1081 | 553 | PetscScalar *x,*work,*tt,sigma=1.0,*cont,*S,*K=NULL,*H; | |
| 1082 | 553 | PetscBool lindep; | |
| 1083 | 553 | Mat MS; | |
| 1084 | |||
| 1085 |
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553 | PetscFunctionBegin; |
| 1086 | 553 | *betah = 0.0; *betak = 0.0; | |
| 1087 |
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553 | PetscCall(MatDenseGetArray(MH,&H)); |
| 1088 |
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|
553 | if (MK) PetscCall(MatDenseGetArray(MK,&K)); |
| 1089 |
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553 | PetscCall(MatDenseGetLDA(MH,&ldh)); |
| 1090 |
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553 | PetscCall(BVTensorGetFactors(ctx->V,NULL,&MS)); |
| 1091 |
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553 | PetscCall(MatDenseGetArray(MS,&S)); |
| 1092 |
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|
553 | PetscCall(BVGetSizes(nep->V,NULL,NULL,&ld)); |
| 1093 | 553 | lds = ld*deg; | |
| 1094 |
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|
553 | PetscCall(BVGetActiveColumns(nep->V,&l,&nqt)); |
| 1095 | 553 | lwa = PetscMax(ld,deg)+(m+1)*(m+1)+4*(m+1); | |
| 1096 |
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|
553 | PetscCall(PetscMalloc4(ld,&x,lwa,&work,m+1,&tt,lds,&cont)); |
| 1097 |
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|
553 | PetscCall(BVSetActiveColumns(ctx->V,0,m)); |
| 1098 |
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|
8211 | for (j=k;j<m;j++) { |
| 1099 | 7658 | sigma = ctx->shifts[(++ctx->idxrk)%ctx->nshiftsw]; | |
| 1100 | |||
| 1101 | /* Continuation vector */ | ||
| 1102 |
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|
7658 | PetscCall(NEPNLEIGS_RKcontinuation(nep,0,j,K,H,ldh,sigma,S,lds,cont,tt,work)); |
| 1103 | |||
| 1104 | /* apply operator */ | ||
| 1105 |
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|
7658 | PetscCall(BVGetColumn(nep->V,nqt,&t)); |
| 1106 |
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|
7658 | PetscCall(NEPTOARExtendBasis(nep,(ctx->idxrk)%ctx->nshiftsw,cont,ld,nqt,W,nep->V,t,S+(j+1)*lds,ld,t_)); |
| 1107 |
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|
7658 | PetscCall(BVRestoreColumn(nep->V,nqt,&t)); |
| 1108 | |||
| 1109 | /* orthogonalize */ | ||
| 1110 |
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|
7658 | PetscCall(BVOrthogonalizeColumn(nep->V,nqt,x,&norm,&lindep)); |
| 1111 |
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|
7658 | if (!lindep) { |
| 1112 | 7222 | x[nqt] = norm; | |
| 1113 |
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|
7222 | PetscCall(BVScaleColumn(nep->V,nqt,1.0/norm)); |
| 1114 | 7222 | nqt++; | |
| 1115 | 436 | } else x[nqt] = 0.0; | |
| 1116 | |||
| 1117 |
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|
7658 | PetscCall(NEPTOARCoefficients(nep,sigma,nqt-1,cont,ld,S+(j+1)*lds,ld,x,work)); |
| 1118 | |||
| 1119 | /* Level-2 orthogonalization */ | ||
| 1120 |
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|
7658 | PetscCall(BVOrthogonalizeColumn(ctx->V,j+1,H+j*ldh,&norm,breakdown)); |
| 1121 | 7658 | H[j+1+ldh*j] = norm; | |
| 1122 |
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|
7658 | if (ctx->nshifts && MK) { |
| 1123 |
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|
7016 | for (i=0;i<=j;i++) K[i+ldh*j] = sigma*H[i+ldh*j] + tt[i]; |
| 1124 | 592 | K[j+1+ldh*j] = sigma*H[j+1+ldh*j]; | |
| 1125 | } | ||
| 1126 |
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|
7658 | if (*breakdown) { |
| 1127 | ✗ | *M = j+1; | |
| 1128 | ✗ | break; | |
| 1129 | } | ||
| 1130 |
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7658 | PetscCall(BVScaleColumn(ctx->V,j+1,1.0/norm)); |
| 1131 |
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|
7658 | PetscCall(BVSetActiveColumns(nep->V,l,nqt)); |
| 1132 | } | ||
| 1133 | 553 | *betah = norm; | |
| 1134 |
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|
553 | if (ctx->nshifts) *betak = norm*sigma; |
| 1135 |
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|
553 | PetscCall(PetscFree4(x,work,tt,cont)); |
| 1136 |
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|
553 | PetscCall(MatDenseRestoreArray(MS,&S)); |
| 1137 |
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|
553 | PetscCall(MatDenseRestoreArray(MH,&H)); |
| 1138 |
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|
553 | if (MK) PetscCall(MatDenseRestoreArray(MK,&K)); |
| 1139 |
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553 | PetscCall(BVTensorRestoreFactors(ctx->V,NULL,&MS)); |
| 1140 |
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|
132 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1141 | } | ||
| 1142 | |||
| 1143 | 210 | PetscErrorCode NEPSolve_NLEIGS(NEP nep) | |
| 1144 | { | ||
| 1145 | 210 | NEP_NLEIGS *ctx = (NEP_NLEIGS*)nep->data; | |
| 1146 | 210 | PetscInt i,k=0,l,nv=0,ld,lds,nq; | |
| 1147 | 210 | PetscInt deg=ctx->nmat-1,nconv=0,dsn,dsk; | |
| 1148 | 210 | PetscScalar *pU,betak=0,*eigr,*eigi; | |
| 1149 | 210 | const PetscScalar *S; | |
| 1150 | 210 | PetscReal betah; | |
| 1151 | 210 | PetscBool falselock=PETSC_FALSE,breakdown=PETSC_FALSE; | |
| 1152 | 210 | BV W; | |
| 1153 | 210 | Mat H,K=NULL,MS,MQ,U; | |
| 1154 | |||
| 1155 |
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210 | PetscFunctionBegin; |
| 1156 |
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|
210 | if (ctx->lock) { |
| 1157 | /* undocumented option to use a cheaper locking instead of the true locking */ | ||
| 1158 |
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|
186 | PetscCall(PetscOptionsGetBool(NULL,NULL,"-nep_nleigs_falselocking",&falselock,NULL)); |
| 1159 | } | ||
| 1160 | |||
| 1161 |
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210 | PetscCall(BVGetSizes(nep->V,NULL,NULL,&ld)); |
| 1162 | 210 | lds = deg*ld; | |
| 1163 |
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|
210 | if (!ctx->nshifts) PetscCall(PetscMalloc2(nep->ncv,&eigr,nep->ncv,&eigi)); |
| 1164 | 24 | else { eigr = nep->eigr; eigi = nep->eigi; } | |
| 1165 |
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|
210 | PetscCall(BVDuplicateResize(nep->V,PetscMax(nep->nt-1,ctx->nmat-1),&W)); |
| 1166 | |||
| 1167 | /* clean projected matrix (including the extra-arrow) */ | ||
| 1168 |
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210 | PetscCall(DSSetDimensions(nep->ds,PETSC_DETERMINE,PETSC_DETERMINE,PETSC_DETERMINE)); |
| 1169 |
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210 | PetscCall(DSGetMat(nep->ds,DS_MAT_A,&H)); |
| 1170 |
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210 | PetscCall(MatZeroEntries(H)); |
| 1171 |
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210 | PetscCall(DSRestoreMat(nep->ds,DS_MAT_A,&H)); |
| 1172 |
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210 | if (ctx->nshifts) { |
| 1173 |
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24 | PetscCall(DSGetMat(nep->ds,DS_MAT_B,&H)); |
| 1174 |
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24 | PetscCall(MatZeroEntries(H)); |
| 1175 |
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24 | PetscCall(DSRestoreMat(nep->ds,DS_MAT_B,&H)); |
| 1176 | } | ||
| 1177 | |||
| 1178 | /* Get the starting Arnoldi vector */ | ||
| 1179 |
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|
210 | PetscCall(BVTensorBuildFirstColumn(ctx->V,nep->nini)); |
| 1180 | |||
| 1181 | /* Restart loop */ | ||
| 1182 | 210 | l = 0; | |
| 1183 | 210 | while (nep->reason == NEP_CONVERGED_ITERATING) { | |
| 1184 | 553 | nep->its++; | |
| 1185 | |||
| 1186 | /* Compute an nv-step Krylov relation */ | ||
| 1187 | 553 | nv = PetscMin(nep->nconv+nep->mpd,nep->ncv); | |
| 1188 |
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553 | if (ctx->nshifts) PetscCall(DSGetMat(nep->ds,DS_MAT_A,&K)); |
| 1189 |
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553 | PetscCall(DSGetMat(nep->ds,ctx->nshifts?DS_MAT_B:DS_MAT_A,&H)); |
| 1190 |
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|
553 | PetscCall(NEPNLEIGSTOARrun(nep,K,H,W,nep->nconv+l,&nv,&betah,&betak,&breakdown,nep->work)); |
| 1191 |
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553 | PetscCall(DSRestoreMat(nep->ds,ctx->nshifts?DS_MAT_B:DS_MAT_A,&H)); |
| 1192 |
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553 | if (ctx->nshifts) PetscCall(DSRestoreMat(nep->ds,DS_MAT_A,&K)); |
| 1193 |
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553 | PetscCall(DSSetDimensions(nep->ds,nv,nep->nconv,nep->nconv+l)); |
| 1194 |
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553 | if (l==0) PetscCall(DSSetState(nep->ds,DS_STATE_INTERMEDIATE)); |
| 1195 |
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|
343 | else PetscCall(DSSetState(nep->ds,DS_STATE_RAW)); |
| 1196 | |||
| 1197 | /* Solve projected problem */ | ||
| 1198 |
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|
553 | PetscCall(DSSolve(nep->ds,nep->eigr,nep->eigi)); |
| 1199 |
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|
553 | PetscCall(DSSort(nep->ds,nep->eigr,nep->eigi,NULL,NULL,NULL)); |
| 1200 |
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|
553 | PetscCall(DSUpdateExtraRow(nep->ds)); |
| 1201 |
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|
553 | PetscCall(DSSynchronize(nep->ds,nep->eigr,nep->eigi)); |
| 1202 | |||
| 1203 | /* Check convergence */ | ||
| 1204 |
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|
553 | PetscCall(NEPNLEIGSKrylovConvergence(nep,PETSC_FALSE,nep->nconv,nv-nep->nconv,betah,betak,&k,nep->work)); |
| 1205 |
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|
553 | PetscCall((*nep->stopping)(nep,nep->its,nep->max_it,k,nep->nev,&nep->reason,nep->stoppingctx)); |
| 1206 | |||
| 1207 | /* Update l */ | ||
| 1208 |
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|
553 | if (nep->reason != NEP_CONVERGED_ITERATING || breakdown) l = 0; |
| 1209 | else { | ||
| 1210 | 343 | l = PetscMax(1,(PetscInt)((nv-k)*ctx->keep)); | |
| 1211 |
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343 | PetscCall(DSGetTruncateSize(nep->ds,k,nv,&l)); |
| 1212 |
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343 | if (!breakdown) { |
| 1213 | /* Prepare the Rayleigh quotient for restart */ | ||
| 1214 |
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343 | PetscCall(DSGetDimensions(nep->ds,&dsn,NULL,&dsk,NULL)); |
| 1215 |
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343 | PetscCall(DSSetDimensions(nep->ds,dsn,k,dsk)); |
| 1216 |
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|
343 | PetscCall(DSTruncate(nep->ds,k+l,PETSC_FALSE)); |
| 1217 | } | ||
| 1218 | } | ||
| 1219 | 553 | nconv = k; | |
| 1220 |
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553 | if (!ctx->lock && nep->reason == NEP_CONVERGED_ITERATING && !breakdown) { l += k; k = 0; } |
| 1221 |
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|
553 | if (l) PetscCall(PetscInfo(nep,"Preparing to restart keeping l=%" PetscInt_FMT " vectors\n",l)); |
| 1222 | |||
| 1223 | /* Update S */ | ||
| 1224 |
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|
1062 | PetscCall(DSGetMat(nep->ds,ctx->nshifts?DS_MAT_Z:DS_MAT_Q,&MQ)); |
| 1225 |
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|
553 | PetscCall(BVMultInPlace(ctx->V,MQ,nep->nconv,k+l)); |
| 1226 |
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|
1062 | PetscCall(DSRestoreMat(nep->ds,ctx->nshifts?DS_MAT_Z:DS_MAT_Q,&MQ)); |
| 1227 | |||
| 1228 | /* Copy last column of S */ | ||
| 1229 |
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|
553 | PetscCall(BVCopyColumn(ctx->V,nv,k+l)); |
| 1230 | |||
| 1231 |
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553 | if (breakdown && nep->reason == NEP_CONVERGED_ITERATING) { |
| 1232 | /* Stop if breakdown */ | ||
| 1233 | ✗ | PetscCall(PetscInfo(nep,"Breakdown (it=%" PetscInt_FMT " norm=%g)\n",nep->its,(double)betah)); | |
| 1234 | ✗ | nep->reason = NEP_DIVERGED_BREAKDOWN; | |
| 1235 | } | ||
| 1236 |
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553 | if (nep->reason != NEP_CONVERGED_ITERATING) l--; |
| 1237 | /* truncate S */ | ||
| 1238 |
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553 | PetscCall(BVGetActiveColumns(nep->V,NULL,&nq)); |
| 1239 |
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553 | if (k+l+deg<=nq) { |
| 1240 |
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509 | PetscCall(BVSetActiveColumns(ctx->V,nep->nconv,k+l+1)); |
| 1241 |
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|
509 | if (!falselock && ctx->lock) PetscCall(BVTensorCompress(ctx->V,k-nep->nconv)); |
| 1242 |
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|
48 | else PetscCall(BVTensorCompress(ctx->V,0)); |
| 1243 | } | ||
| 1244 | 553 | nep->nconv = k; | |
| 1245 |
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553 | if (!ctx->nshifts) { |
| 1246 |
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|
11803 | for (i=0;i<nv;i++) { eigr[i] = nep->eigr[i]; eigi[i] = nep->eigi[i]; } |
| 1247 |
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|
509 | PetscCall(NEPNLEIGSBackTransform((PetscObject)nep,nv,eigr,eigi)); |
| 1248 | } | ||
| 1249 |
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|
763 | PetscCall(NEPMonitor(nep,nep->its,nconv,eigr,eigi,nep->errest,nv)); |
| 1250 | } | ||
| 1251 | 210 | nep->nconv = nconv; | |
| 1252 |
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210 | if (nep->nconv>0) { |
| 1253 |
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|
210 | PetscCall(BVSetActiveColumns(ctx->V,0,nep->nconv)); |
| 1254 |
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|
210 | PetscCall(BVGetActiveColumns(nep->V,NULL,&nq)); |
| 1255 |
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210 | PetscCall(BVSetActiveColumns(nep->V,0,nq)); |
| 1256 |
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210 | if (nq>nep->nconv) { |
| 1257 |
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|
32 | PetscCall(BVTensorCompress(ctx->V,nep->nconv)); |
| 1258 |
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|
32 | PetscCall(BVSetActiveColumns(nep->V,0,nep->nconv)); |
| 1259 | 32 | nq = nep->nconv; | |
| 1260 | } | ||
| 1261 |
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210 | if (ctx->nshifts) { |
| 1262 |
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|
24 | PetscCall(DSGetMat(nep->ds,DS_MAT_B,&MQ)); |
| 1263 |
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|
24 | PetscCall(BVMultInPlace(ctx->V,MQ,0,nep->nconv)); |
| 1264 |
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24 | PetscCall(DSRestoreMat(nep->ds,DS_MAT_B,&MQ)); |
| 1265 | } | ||
| 1266 |
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210 | PetscCall(BVTensorGetFactors(ctx->V,NULL,&MS)); |
| 1267 |
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210 | PetscCall(MatDenseGetArrayRead(MS,&S)); |
| 1268 |
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210 | PetscCall(PetscMalloc1(nq*nep->nconv,&pU)); |
| 1269 |
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|
1139 | for (i=0;i<nep->nconv;i++) PetscCall(PetscArraycpy(pU+i*nq,S+i*lds,nq)); |
| 1270 |
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210 | PetscCall(MatDenseRestoreArrayRead(MS,&S)); |
| 1271 |
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210 | PetscCall(BVTensorRestoreFactors(ctx->V,NULL,&MS)); |
| 1272 |
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210 | PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,nq,nep->nconv,pU,&U)); |
| 1273 |
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210 | PetscCall(BVSetActiveColumns(nep->V,0,nq)); |
| 1274 |
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210 | PetscCall(BVMultInPlace(nep->V,U,0,nep->nconv)); |
| 1275 |
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210 | PetscCall(BVSetActiveColumns(nep->V,0,nep->nconv)); |
| 1276 |
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210 | PetscCall(MatDestroy(&U)); |
| 1277 |
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210 | PetscCall(PetscFree(pU)); |
| 1278 |
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|
210 | PetscCall(DSTruncate(nep->ds,nep->nconv,PETSC_TRUE)); |
| 1279 | } | ||
| 1280 | |||
| 1281 | /* Map eigenvalues back to the original problem */ | ||
| 1282 |
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210 | if (!ctx->nshifts) { |
| 1283 |
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|
186 | PetscCall(NEPNLEIGSBackTransform((PetscObject)nep,nep->nconv,nep->eigr,nep->eigi)); |
| 1284 |
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|
186 | PetscCall(PetscFree2(eigr,eigi)); |
| 1285 | } | ||
| 1286 |
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210 | PetscCall(BVDestroy(&W)); |
| 1287 |
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|
48 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1288 | } | ||
| 1289 | |||
| 1290 | 167 | static PetscErrorCode NEPNLEIGSSetSingularitiesFunction_NLEIGS(NEP nep,NEPNLEIGSSingularitiesFn *fun,PetscCtx ctx) | |
| 1291 | { | ||
| 1292 | 167 | NEP_NLEIGS *nepctx=(NEP_NLEIGS*)nep->data; | |
| 1293 | |||
| 1294 |
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167 | PetscFunctionBegin; |
| 1295 |
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167 | if (fun) nepctx->computesingularities = fun; |
| 1296 |
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167 | if (ctx) nepctx->singularitiesctx = ctx; |
| 1297 | 167 | nep->state = NEP_STATE_INITIAL; | |
| 1298 |
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167 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1299 | } | ||
| 1300 | |||
| 1301 | /*@C | ||
| 1302 | NEPNLEIGSSetSingularitiesFunction - Sets a user-defined callback function | ||
| 1303 | to compute a discretization of the singularity set (the values where | ||
| 1304 | $T(\cdot)$ is not analytic). | ||
| 1305 | |||
| 1306 | Logically Collective | ||
| 1307 | |||
| 1308 | Input Parameters: | ||
| 1309 | + nep - the nonlinear eigensolver context | ||
| 1310 | . fun - user function (if `NULL` then `NEP` retains any previously set value) | ||
| 1311 | - ctx - [optional] user-defined context for private data for the function | ||
| 1312 | (may be `NULL`, in which case `NEP` retains any previously set value) | ||
| 1313 | |||
| 1314 | Notes: | ||
| 1315 | If the problem type has been set to `NEP_RATIONAL` with `NEPSetProblemType()`, | ||
| 1316 | then it is not necessary to set the singularities explicitly since the | ||
| 1317 | solver will try to determine them automatically. | ||
| 1318 | |||
| 1319 | If the problem is `NEP_GENERAL`, it is also possible to omit the | ||
| 1320 | singularities callback. In that case, a discretization of the singularity | ||
| 1321 | set is approximated via the AAA algorithm {cite:p}`Nak18,Els19`. | ||
| 1322 | |||
| 1323 | Level: intermediate | ||
| 1324 | |||
| 1325 | .seealso: [](ch:nep), `NEPNLEIGS`, `NEPNLEIGSGetSingularitiesFunction()`, `NEPSetProblemType()` | ||
| 1326 | @*/ | ||
| 1327 | 167 | PetscErrorCode NEPNLEIGSSetSingularitiesFunction(NEP nep,NEPNLEIGSSingularitiesFn *fun,PetscCtx ctx) | |
| 1328 | { | ||
| 1329 |
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167 | PetscFunctionBegin; |
| 1330 |
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167 | PetscValidHeaderSpecific(nep,NEP_CLASSID,1); |
| 1331 |
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|
167 | PetscTryMethod(nep,"NEPNLEIGSSetSingularitiesFunction_C",(NEP,NEPNLEIGSSingularitiesFn*,PetscCtx),(nep,fun,ctx)); |
| 1332 |
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167 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1333 | } | ||
| 1334 | |||
| 1335 | 8 | static PetscErrorCode NEPNLEIGSGetSingularitiesFunction_NLEIGS(NEP nep,NEPNLEIGSSingularitiesFn **fun,PetscCtxRt ctx) | |
| 1336 | { | ||
| 1337 | 8 | NEP_NLEIGS *nepctx=(NEP_NLEIGS*)nep->data; | |
| 1338 | |||
| 1339 |
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8 | PetscFunctionBegin; |
| 1340 |
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8 | if (fun) *fun = nepctx->computesingularities; |
| 1341 |
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8 | if (ctx) *(void**)ctx = nepctx->singularitiesctx; |
| 1342 |
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8 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1343 | } | ||
| 1344 | |||
| 1345 | /*@C | ||
| 1346 | NEPNLEIGSGetSingularitiesFunction - Returns the callback function and optionally the user | ||
| 1347 | provided context for computing a discretization of the singularity set. | ||
| 1348 | |||
| 1349 | Not Collective | ||
| 1350 | |||
| 1351 | Input Parameter: | ||
| 1352 | . nep - the nonlinear eigensolver context | ||
| 1353 | |||
| 1354 | Output Parameters: | ||
| 1355 | + fun - location to put the function (or `NULL`) | ||
| 1356 | - ctx - location to stash the function context (or `NULL`) | ||
| 1357 | |||
| 1358 | Level: intermediate | ||
| 1359 | |||
| 1360 | .seealso: [](ch:nep), `NEPNLEIGS`, `NEPNLEIGSSetSingularitiesFunction()` | ||
| 1361 | @*/ | ||
| 1362 | 8 | PetscErrorCode NEPNLEIGSGetSingularitiesFunction(NEP nep,NEPNLEIGSSingularitiesFn **fun,PetscCtxRt ctx) | |
| 1363 | { | ||
| 1364 |
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8 | PetscFunctionBegin; |
| 1365 |
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8 | PetscValidHeaderSpecific(nep,NEP_CLASSID,1); |
| 1366 |
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|
8 | PetscUseMethod(nep,"NEPNLEIGSGetSingularitiesFunction_C",(NEP,NEPNLEIGSSingularitiesFn**,PetscCtxRt),(nep,fun,ctx)); |
| 1367 |
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|
8 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1368 | } | ||
| 1369 | |||
| 1370 | 24 | static PetscErrorCode NEPNLEIGSSetRestart_NLEIGS(NEP nep,PetscReal keep) | |
| 1371 | { | ||
| 1372 | 24 | NEP_NLEIGS *ctx=(NEP_NLEIGS*)nep->data; | |
| 1373 | |||
| 1374 |
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24 | PetscFunctionBegin; |
| 1375 |
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24 | if (keep==(PetscReal)PETSC_DEFAULT || keep==(PetscReal)PETSC_DECIDE) ctx->keep = 0.5; |
| 1376 | else { | ||
| 1377 |
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24 | PetscCheck(keep>=0.1 && keep<=0.9,PetscObjectComm((PetscObject)nep),PETSC_ERR_ARG_OUTOFRANGE,"The keep argument must be in the range [0.1,0.9]"); |
| 1378 | 24 | ctx->keep = keep; | |
| 1379 | } | ||
| 1380 |
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|
6 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1381 | } | ||
| 1382 | |||
| 1383 | /*@ | ||
| 1384 | NEPNLEIGSSetRestart - Sets the restart parameter for the NLEIGS | ||
| 1385 | method, in particular the proportion of basis vectors that must be kept | ||
| 1386 | after restart. | ||
| 1387 | |||
| 1388 | Logically Collective | ||
| 1389 | |||
| 1390 | Input Parameters: | ||
| 1391 | + nep - the nonlinear eigensolver context | ||
| 1392 | - keep - the number of vectors to be kept at restart | ||
| 1393 | |||
| 1394 | Options Database Key: | ||
| 1395 | . -nep_nleigs_restart \<keep\> - sets the restart parameter | ||
| 1396 | |||
| 1397 | Notes: | ||
| 1398 | Allowed values are in the range [0.1,0.9]. The default is 0.5. | ||
| 1399 | |||
| 1400 | Level: advanced | ||
| 1401 | |||
| 1402 | .seealso: [](ch:nep), `NEPNLEIGS`, `NEPNLEIGSGetRestart()` | ||
| 1403 | @*/ | ||
| 1404 | 24 | PetscErrorCode NEPNLEIGSSetRestart(NEP nep,PetscReal keep) | |
| 1405 | { | ||
| 1406 |
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24 | PetscFunctionBegin; |
| 1407 |
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24 | PetscValidHeaderSpecific(nep,NEP_CLASSID,1); |
| 1408 |
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24 | PetscValidLogicalCollectiveReal(nep,keep,2); |
| 1409 |
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24 | PetscTryMethod(nep,"NEPNLEIGSSetRestart_C",(NEP,PetscReal),(nep,keep)); |
| 1410 |
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|
24 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1411 | } | ||
| 1412 | |||
| 1413 | 48 | static PetscErrorCode NEPNLEIGSGetRestart_NLEIGS(NEP nep,PetscReal *keep) | |
| 1414 | { | ||
| 1415 | 48 | NEP_NLEIGS *ctx=(NEP_NLEIGS*)nep->data; | |
| 1416 | |||
| 1417 |
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48 | PetscFunctionBegin; |
| 1418 | 48 | *keep = ctx->keep; | |
| 1419 |
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48 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1420 | } | ||
| 1421 | |||
| 1422 | /*@ | ||
| 1423 | NEPNLEIGSGetRestart - Gets the restart parameter used in the NLEIGS method. | ||
| 1424 | |||
| 1425 | Not Collective | ||
| 1426 | |||
| 1427 | Input Parameter: | ||
| 1428 | . nep - the nonlinear eigensolver context | ||
| 1429 | |||
| 1430 | Output Parameter: | ||
| 1431 | . keep - the restart parameter | ||
| 1432 | |||
| 1433 | Level: advanced | ||
| 1434 | |||
| 1435 | .seealso: [](ch:nep), `NEPNLEIGS`, `NEPNLEIGSSetRestart()` | ||
| 1436 | @*/ | ||
| 1437 | 48 | PetscErrorCode NEPNLEIGSGetRestart(NEP nep,PetscReal *keep) | |
| 1438 | { | ||
| 1439 |
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48 | PetscFunctionBegin; |
| 1440 |
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48 | PetscValidHeaderSpecific(nep,NEP_CLASSID,1); |
| 1441 |
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48 | PetscAssertPointer(keep,2); |
| 1442 |
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48 | PetscUseMethod(nep,"NEPNLEIGSGetRestart_C",(NEP,PetscReal*),(nep,keep)); |
| 1443 |
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|
48 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1444 | } | ||
| 1445 | |||
| 1446 | 24 | static PetscErrorCode NEPNLEIGSSetLocking_NLEIGS(NEP nep,PetscBool lock) | |
| 1447 | { | ||
| 1448 | 24 | NEP_NLEIGS *ctx=(NEP_NLEIGS*)nep->data; | |
| 1449 | |||
| 1450 |
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24 | PetscFunctionBegin; |
| 1451 | 24 | ctx->lock = lock; | |
| 1452 |
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24 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1453 | } | ||
| 1454 | |||
| 1455 | /*@ | ||
| 1456 | NEPNLEIGSSetLocking - Choose between locking and non-locking variants of | ||
| 1457 | the NLEIGS method. | ||
| 1458 | |||
| 1459 | Logically Collective | ||
| 1460 | |||
| 1461 | Input Parameters: | ||
| 1462 | + nep - the nonlinear eigensolver context | ||
| 1463 | - lock - true if the locking variant must be selected | ||
| 1464 | |||
| 1465 | Options Database Key: | ||
| 1466 | . -nep_nleigs_locking - sets the locking flag | ||
| 1467 | |||
| 1468 | Notes: | ||
| 1469 | The default is to lock converged eigenpairs when the method restarts. | ||
| 1470 | This behavior can be changed so that all directions are kept in the | ||
| 1471 | working subspace even if already converged to working accuracy (the | ||
| 1472 | non-locking variant). | ||
| 1473 | |||
| 1474 | Level: advanced | ||
| 1475 | |||
| 1476 | .seealso: [](ch:nep), `NEPNLEIGS`, `NEPNLEIGSGetLocking()` | ||
| 1477 | @*/ | ||
| 1478 | 24 | PetscErrorCode NEPNLEIGSSetLocking(NEP nep,PetscBool lock) | |
| 1479 | { | ||
| 1480 |
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24 | PetscFunctionBegin; |
| 1481 |
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24 | PetscValidHeaderSpecific(nep,NEP_CLASSID,1); |
| 1482 |
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24 | PetscValidLogicalCollectiveBool(nep,lock,2); |
| 1483 |
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24 | PetscTryMethod(nep,"NEPNLEIGSSetLocking_C",(NEP,PetscBool),(nep,lock)); |
| 1484 |
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24 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1485 | } | ||
| 1486 | |||
| 1487 | 48 | static PetscErrorCode NEPNLEIGSGetLocking_NLEIGS(NEP nep,PetscBool *lock) | |
| 1488 | { | ||
| 1489 | 48 | NEP_NLEIGS *ctx=(NEP_NLEIGS*)nep->data; | |
| 1490 | |||
| 1491 |
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48 | PetscFunctionBegin; |
| 1492 | 48 | *lock = ctx->lock; | |
| 1493 |
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48 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1494 | } | ||
| 1495 | |||
| 1496 | /*@ | ||
| 1497 | NEPNLEIGSGetLocking - Gets the locking flag used in the NLEIGS method. | ||
| 1498 | |||
| 1499 | Not Collective | ||
| 1500 | |||
| 1501 | Input Parameter: | ||
| 1502 | . nep - the nonlinear eigensolver context | ||
| 1503 | |||
| 1504 | Output Parameter: | ||
| 1505 | . lock - the locking flag | ||
| 1506 | |||
| 1507 | Level: advanced | ||
| 1508 | |||
| 1509 | .seealso: [](ch:nep), `NEPNLEIGS`, `NEPNLEIGSSetLocking()` | ||
| 1510 | @*/ | ||
| 1511 | 48 | PetscErrorCode NEPNLEIGSGetLocking(NEP nep,PetscBool *lock) | |
| 1512 | { | ||
| 1513 |
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48 | PetscFunctionBegin; |
| 1514 |
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48 | PetscValidHeaderSpecific(nep,NEP_CLASSID,1); |
| 1515 |
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48 | PetscAssertPointer(lock,2); |
| 1516 |
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48 | PetscUseMethod(nep,"NEPNLEIGSGetLocking_C",(NEP,PetscBool*),(nep,lock)); |
| 1517 |
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48 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1518 | } | ||
| 1519 | |||
| 1520 | 82 | static PetscErrorCode NEPNLEIGSSetInterpolation_NLEIGS(NEP nep,PetscReal tol,PetscInt degree) | |
| 1521 | { | ||
| 1522 | 82 | NEP_NLEIGS *ctx=(NEP_NLEIGS*)nep->data; | |
| 1523 | |||
| 1524 |
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82 | PetscFunctionBegin; |
| 1525 |
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82 | if (tol == (PetscReal)PETSC_DETERMINE) { |
| 1526 | 58 | ctx->ddtol = PETSC_DETERMINE; | |
| 1527 | 58 | nep->state = NEP_STATE_INITIAL; | |
| 1528 |
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24 | } else if (tol != (PetscReal)PETSC_CURRENT) { |
| 1529 |
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24 | PetscCheck(tol>0.0,PetscObjectComm((PetscObject)nep),PETSC_ERR_ARG_OUTOFRANGE,"Illegal value of tol. Must be > 0"); |
| 1530 | 24 | ctx->ddtol = tol; | |
| 1531 | } | ||
| 1532 |
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82 | if (degree == PETSC_DETERMINE) { |
| 1533 | ✗ | ctx->ddmaxit = 0; | |
| 1534 | ✗ | if (nep->state) PetscCall(NEPReset(nep)); | |
| 1535 | ✗ | nep->state = NEP_STATE_INITIAL; | |
| 1536 |
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82 | } else if (degree != PETSC_CURRENT) { |
| 1537 |
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82 | PetscCheck(degree>0,PetscObjectComm((PetscObject)nep),PETSC_ERR_ARG_OUTOFRANGE,"Illegal value of degree. Must be > 0"); |
| 1538 |
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82 | if (ctx->ddmaxit != degree) { |
| 1539 | 82 | ctx->ddmaxit = degree; | |
| 1540 |
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82 | if (nep->state) PetscCall(NEPReset(nep)); |
| 1541 | 82 | nep->state = NEP_STATE_INITIAL; | |
| 1542 | } | ||
| 1543 | } | ||
| 1544 |
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18 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1545 | } | ||
| 1546 | |||
| 1547 | /*@ | ||
| 1548 | NEPNLEIGSSetInterpolation - Sets the tolerance and maximum degree | ||
| 1549 | when building the interpolation via divided differences. | ||
| 1550 | |||
| 1551 | Collective | ||
| 1552 | |||
| 1553 | Input Parameters: | ||
| 1554 | + nep - the nonlinear eigensolver context | ||
| 1555 | . tol - tolerance to stop computing divided differences | ||
| 1556 | - degree - maximum degree of interpolation | ||
| 1557 | |||
| 1558 | Options Database Keys: | ||
| 1559 | + -nep_nleigs_interpolation_tol \<tol\> - sets the tolerance to stop computing divided differences | ||
| 1560 | - -nep_nleigs_interpolation_degree \<degree\> - sets the maximum degree of interpolation | ||
| 1561 | |||
| 1562 | Note: | ||
| 1563 | `PETSC_CURRENT` can be used to preserve the current value of any of the | ||
| 1564 | arguments, and `PETSC_DETERMINE` to set them to a default value. | ||
| 1565 | |||
| 1566 | Level: advanced | ||
| 1567 | |||
| 1568 | .seealso: [](ch:nep), `NEPNLEIGS`, `NEPNLEIGSGetInterpolation()` | ||
| 1569 | @*/ | ||
| 1570 | 82 | PetscErrorCode NEPNLEIGSSetInterpolation(NEP nep,PetscReal tol,PetscInt degree) | |
| 1571 | { | ||
| 1572 |
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82 | PetscFunctionBegin; |
| 1573 |
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82 | PetscValidHeaderSpecific(nep,NEP_CLASSID,1); |
| 1574 |
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82 | PetscValidLogicalCollectiveReal(nep,tol,2); |
| 1575 |
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82 | PetscValidLogicalCollectiveInt(nep,degree,3); |
| 1576 |
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82 | PetscTryMethod(nep,"NEPNLEIGSSetInterpolation_C",(NEP,PetscReal,PetscInt),(nep,tol,degree)); |
| 1577 |
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82 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1578 | } | ||
| 1579 | |||
| 1580 | 266 | static PetscErrorCode NEPNLEIGSGetInterpolation_NLEIGS(NEP nep,PetscReal *tol,PetscInt *degree) | |
| 1581 | { | ||
| 1582 | 266 | NEP_NLEIGS *ctx=(NEP_NLEIGS*)nep->data; | |
| 1583 | |||
| 1584 |
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266 | PetscFunctionBegin; |
| 1585 |
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266 | if (tol) *tol = ctx->ddtol; |
| 1586 |
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|
266 | if (degree) *degree = ctx->ddmaxit; |
| 1587 |
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|
266 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1588 | } | ||
| 1589 | |||
| 1590 | /*@ | ||
| 1591 | NEPNLEIGSGetInterpolation - Gets the tolerance and maximum degree | ||
| 1592 | when building the interpolation via divided differences. | ||
| 1593 | |||
| 1594 | Not Collective | ||
| 1595 | |||
| 1596 | Input Parameter: | ||
| 1597 | . nep - the nonlinear eigensolver context | ||
| 1598 | |||
| 1599 | Output Parameters: | ||
| 1600 | + tol - tolerance to stop computing divided differences | ||
| 1601 | - degree - maximum degree of interpolation | ||
| 1602 | |||
| 1603 | Level: advanced | ||
| 1604 | |||
| 1605 | .seealso: [](ch:nep), `NEPNLEIGS`, `NEPNLEIGSSetInterpolation()` | ||
| 1606 | @*/ | ||
| 1607 | 266 | PetscErrorCode NEPNLEIGSGetInterpolation(NEP nep,PetscReal *tol,PetscInt *degree) | |
| 1608 | { | ||
| 1609 |
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266 | PetscFunctionBegin; |
| 1610 |
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266 | PetscValidHeaderSpecific(nep,NEP_CLASSID,1); |
| 1611 |
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|
266 | PetscTryMethod(nep,"NEPNLEIGSGetInterpolation_C",(NEP,PetscReal*,PetscInt*),(nep,tol,degree)); |
| 1612 |
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|
266 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1613 | } | ||
| 1614 | |||
| 1615 | 24 | static PetscErrorCode NEPNLEIGSSetRKShifts_NLEIGS(NEP nep,PetscInt ns,PetscScalar *shifts) | |
| 1616 | { | ||
| 1617 | 24 | NEP_NLEIGS *ctx=(NEP_NLEIGS*)nep->data; | |
| 1618 | 24 | PetscInt i; | |
| 1619 | |||
| 1620 |
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24 | PetscFunctionBegin; |
| 1621 |
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24 | PetscCheck(ns>=0,PetscObjectComm((PetscObject)nep),PETSC_ERR_ARG_WRONG,"Number of shifts must be non-negative"); |
| 1622 |
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24 | if (ctx->nshifts) PetscCall(PetscFree(ctx->shifts)); |
| 1623 |
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24 | for (i=0;i<ctx->nshiftsw;i++) PetscCall(KSPDestroy(&ctx->ksp[i])); |
| 1624 |
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|
24 | PetscCall(PetscFree(ctx->ksp)); |
| 1625 | 24 | ctx->ksp = NULL; | |
| 1626 |
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24 | if (ns) { |
| 1627 |
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24 | PetscCall(PetscMalloc1(ns,&ctx->shifts)); |
| 1628 |
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|
120 | for (i=0;i<ns;i++) ctx->shifts[i] = shifts[i]; |
| 1629 | } | ||
| 1630 | 24 | ctx->nshifts = ns; | |
| 1631 | 24 | nep->state = NEP_STATE_INITIAL; | |
| 1632 |
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|
24 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1633 | } | ||
| 1634 | |||
| 1635 | /*@ | ||
| 1636 | NEPNLEIGSSetRKShifts - Sets a list of shifts to be used in the Rational | ||
| 1637 | Krylov method. | ||
| 1638 | |||
| 1639 | Collective | ||
| 1640 | |||
| 1641 | Input Parameters: | ||
| 1642 | + nep - the nonlinear eigensolver context | ||
| 1643 | . ns - number of shifts | ||
| 1644 | - shifts - array of scalar values specifying the shifts | ||
| 1645 | |||
| 1646 | Options Database Key: | ||
| 1647 | . -nep_nleigs_rk_shifts <s0,s1,...> - sets the list of shifts | ||
| 1648 | |||
| 1649 | Notes: | ||
| 1650 | If only one shift is provided, the built subspace is equivalent to | ||
| 1651 | shift-and-invert Krylov-Schur (provided that the absolute convergence | ||
| 1652 | criterion is used). Otherwise, the rational Krylov variant is run. | ||
| 1653 | |||
| 1654 | In the case of real scalars, complex shifts are not allowed. In the | ||
| 1655 | command line, a comma-separated list of complex values can be provided with | ||
| 1656 | the format `[+/-][realnumber][+/-]realnumberi` with no spaces, e.g. | ||
| 1657 | `-nep_nleigs_rk_shifts 1.0+2.0i,1.5+2.0i,1.0+1.5i`. | ||
| 1658 | |||
| 1659 | Use `ns=0` to remove previously set shifts. | ||
| 1660 | |||
| 1661 | Level: advanced | ||
| 1662 | |||
| 1663 | .seealso: [](ch:nep), `NEPNLEIGS`, `NEPNLEIGSGetRKShifts()` | ||
| 1664 | @*/ | ||
| 1665 | 24 | PetscErrorCode NEPNLEIGSSetRKShifts(NEP nep,PetscInt ns,PetscScalar shifts[]) | |
| 1666 | { | ||
| 1667 |
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24 | PetscFunctionBegin; |
| 1668 |
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24 | PetscValidHeaderSpecific(nep,NEP_CLASSID,1); |
| 1669 |
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|
24 | PetscValidLogicalCollectiveInt(nep,ns,2); |
| 1670 |
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24 | if (ns) PetscAssertPointer(shifts,3); |
| 1671 |
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|
24 | PetscTryMethod(nep,"NEPNLEIGSSetRKShifts_C",(NEP,PetscInt,PetscScalar*),(nep,ns,shifts)); |
| 1672 |
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|
24 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1673 | } | ||
| 1674 | |||
| 1675 | 8 | static PetscErrorCode NEPNLEIGSGetRKShifts_NLEIGS(NEP nep,PetscInt *ns,PetscScalar **shifts) | |
| 1676 | { | ||
| 1677 | 8 | NEP_NLEIGS *ctx=(NEP_NLEIGS*)nep->data; | |
| 1678 | 8 | PetscInt i; | |
| 1679 | |||
| 1680 |
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8 | PetscFunctionBegin; |
| 1681 | 8 | *ns = ctx->nshifts; | |
| 1682 |
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8 | if (ctx->nshifts) { |
| 1683 |
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8 | PetscCall(PetscMalloc1(ctx->nshifts,shifts)); |
| 1684 |
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|
40 | for (i=0;i<ctx->nshifts;i++) (*shifts)[i] = ctx->shifts[i]; |
| 1685 | } | ||
| 1686 |
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|
2 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1687 | } | ||
| 1688 | |||
| 1689 | /*@C | ||
| 1690 | NEPNLEIGSGetRKShifts - Gets the list of shifts used in the Rational | ||
| 1691 | Krylov method. | ||
| 1692 | |||
| 1693 | Not Collective | ||
| 1694 | |||
| 1695 | Input Parameter: | ||
| 1696 | . nep - the nonlinear eigensolver context | ||
| 1697 | |||
| 1698 | Output Parameters: | ||
| 1699 | + ns - number of shifts | ||
| 1700 | - shifts - array of shifts | ||
| 1701 | |||
| 1702 | Note: | ||
| 1703 | The user is responsible for deallocating the returned array. | ||
| 1704 | |||
| 1705 | Level: advanced | ||
| 1706 | |||
| 1707 | .seealso: [](ch:nep), `NEPNLEIGS`, `NEPNLEIGSSetRKShifts()` | ||
| 1708 | @*/ | ||
| 1709 | 8 | PetscErrorCode NEPNLEIGSGetRKShifts(NEP nep,PetscInt *ns,PetscScalar *shifts[]) PeNS | |
| 1710 | { | ||
| 1711 |
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8 | PetscFunctionBegin; |
| 1712 |
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8 | PetscValidHeaderSpecific(nep,NEP_CLASSID,1); |
| 1713 |
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8 | PetscAssertPointer(ns,2); |
| 1714 |
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8 | PetscAssertPointer(shifts,3); |
| 1715 |
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|
8 | PetscTryMethod(nep,"NEPNLEIGSGetRKShifts_C",(NEP,PetscInt*,PetscScalar**),(nep,ns,shifts)); |
| 1716 |
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|
8 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1717 | } | ||
| 1718 | |||
| 1719 | 218 | static PetscErrorCode NEPNLEIGSGetKSPs_NLEIGS(NEP nep,PetscInt *nsolve,KSP **ksp) | |
| 1720 | { | ||
| 1721 | 218 | NEP_NLEIGS *ctx = (NEP_NLEIGS*)nep->data; | |
| 1722 | 218 | PetscInt i; | |
| 1723 | 218 | PC pc; | |
| 1724 | |||
| 1725 |
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218 | PetscFunctionBegin; |
| 1726 |
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218 | if (!ctx->ksp) { |
| 1727 |
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|
218 | PetscCall(NEPNLEIGSSetShifts(nep,&ctx->nshiftsw)); |
| 1728 |
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|
218 | PetscCall(PetscMalloc1(ctx->nshiftsw,&ctx->ksp)); |
| 1729 |
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|
508 | for (i=0;i<ctx->nshiftsw;i++) { |
| 1730 |
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|
290 | PetscCall(KSPCreate(PetscObjectComm((PetscObject)nep),&ctx->ksp[i])); |
| 1731 |
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|
290 | PetscCall(PetscObjectIncrementTabLevel((PetscObject)ctx->ksp[i],(PetscObject)nep,1)); |
| 1732 |
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290 | PetscCall(KSPSetOptionsPrefix(ctx->ksp[i],((PetscObject)nep)->prefix)); |
| 1733 |
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290 | PetscCall(KSPAppendOptionsPrefix(ctx->ksp[i],"nep_nleigs_")); |
| 1734 |
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290 | PetscCall(PetscObjectSetOptions((PetscObject)ctx->ksp[i],((PetscObject)nep)->options)); |
| 1735 |
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290 | PetscCall(KSPSetErrorIfNotConverged(ctx->ksp[i],PETSC_TRUE)); |
| 1736 |
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|
488 | PetscCall(KSPSetTolerances(ctx->ksp[i],1e-3*SlepcDefaultTol(nep->tol),PETSC_CURRENT,PETSC_CURRENT,PETSC_CURRENT)); |
| 1737 |
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|
290 | PetscCall(KSPGetPC(ctx->ksp[i],&pc)); |
| 1738 |
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|
290 | if ((nep->fui==NEP_USER_INTERFACE_SPLIT && nep->P) || (nep->fui==NEP_USER_INTERFACE_CALLBACK && nep->function_pre!=nep->function)) { |
| 1739 |
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|
16 | PetscCall(KSPSetType(ctx->ksp[i],KSPBCGS)); |
| 1740 |
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|
16 | PetscCall(PCSetType(pc,PCBJACOBI)); |
| 1741 | } else { | ||
| 1742 |
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|
274 | PetscCall(KSPSetType(ctx->ksp[i],KSPPREONLY)); |
| 1743 |
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|
290 | PetscCall(PCSetType(pc,PCLU)); |
| 1744 | } | ||
| 1745 | } | ||
| 1746 | } | ||
| 1747 |
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218 | if (nsolve) *nsolve = ctx->nshiftsw; |
| 1748 |
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218 | if (ksp) *ksp = ctx->ksp; |
| 1749 |
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|
50 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1750 | } | ||
| 1751 | |||
| 1752 | /*@C | ||
| 1753 | NEPNLEIGSGetKSPs - Retrieve the array of linear solver objects associated with | ||
| 1754 | the nonlinear eigenvalue solver. | ||
| 1755 | |||
| 1756 | Collective | ||
| 1757 | |||
| 1758 | Input Parameter: | ||
| 1759 | . nep - the nonlinear eigensolver context | ||
| 1760 | |||
| 1761 | Output Parameters: | ||
| 1762 | + nsolve - number of returned `KSP` objects | ||
| 1763 | - ksp - array of linear solver object | ||
| 1764 | |||
| 1765 | Note: | ||
| 1766 | The number of `KSP` objects is equal to the number of shifts provided by the user, | ||
| 1767 | or 1 if the user did not provide shifts. | ||
| 1768 | |||
| 1769 | Level: advanced | ||
| 1770 | |||
| 1771 | .seealso: [](ch:nep), `NEPNLEIGS`, `NEPNLEIGSSetRKShifts()` | ||
| 1772 | @*/ | ||
| 1773 | 218 | PetscErrorCode NEPNLEIGSGetKSPs(NEP nep,PetscInt *nsolve,KSP **ksp) | |
| 1774 | { | ||
| 1775 |
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218 | PetscFunctionBegin; |
| 1776 |
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218 | PetscValidHeaderSpecific(nep,NEP_CLASSID,1); |
| 1777 |
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|
218 | PetscUseMethod(nep,"NEPNLEIGSGetKSPs_C",(NEP,PetscInt*,KSP**),(nep,nsolve,ksp)); |
| 1778 |
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|
218 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1779 | } | ||
| 1780 | |||
| 1781 | 32 | static PetscErrorCode NEPNLEIGSSetFullBasis_NLEIGS(NEP nep,PetscBool fullbasis) | |
| 1782 | { | ||
| 1783 | 32 | NEP_NLEIGS *ctx=(NEP_NLEIGS*)nep->data; | |
| 1784 | |||
| 1785 |
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32 | PetscFunctionBegin; |
| 1786 |
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32 | if (fullbasis!=ctx->fullbasis) { |
| 1787 | 24 | ctx->fullbasis = fullbasis; | |
| 1788 | 24 | nep->state = NEP_STATE_INITIAL; | |
| 1789 | 24 | nep->useds = PetscNot(fullbasis); | |
| 1790 | } | ||
| 1791 |
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32 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1792 | } | ||
| 1793 | |||
| 1794 | /*@ | ||
| 1795 | NEPNLEIGSSetFullBasis - Choose between TOAR-basis (default) and full-basis | ||
| 1796 | variants of the NLEIGS method. | ||
| 1797 | |||
| 1798 | Logically Collective | ||
| 1799 | |||
| 1800 | Input Parameters: | ||
| 1801 | + nep - the nonlinear eigensolver context | ||
| 1802 | - fullbasis - true if the full-basis variant must be selected | ||
| 1803 | |||
| 1804 | Options Database Key: | ||
| 1805 | . -nep_nleigs_full_basis - sets the full-basis flag | ||
| 1806 | |||
| 1807 | Notes: | ||
| 1808 | The default is to use a compact representation of the Krylov basis, that is, | ||
| 1809 | $V = (I \otimes U) S$, with a `BVTENSOR`. This behavior can be changed so that | ||
| 1810 | the full basis $V$ is explicitly stored and operated with. This variant is more | ||
| 1811 | expensive in terms of memory and computation, but is necessary in some cases, | ||
| 1812 | particularly for two-sided computations, see `NEPSetTwoSided()`. | ||
| 1813 | |||
| 1814 | In the full-basis variant, the NLEIGS solver uses an `EPS` object to explicitly | ||
| 1815 | solve the linearized eigenproblem, see `NEPNLEIGSGetEPS()`. | ||
| 1816 | |||
| 1817 | Level: advanced | ||
| 1818 | |||
| 1819 | .seealso: [](ch:nep), `NEPNLEIGS`, `NEPNLEIGSGetFullBasis()`, `NEPNLEIGSGetEPS()`, `NEPSetTwoSided()`, `BVCreateTensor()` | ||
| 1820 | @*/ | ||
| 1821 | 32 | PetscErrorCode NEPNLEIGSSetFullBasis(NEP nep,PetscBool fullbasis) | |
| 1822 | { | ||
| 1823 |
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32 | PetscFunctionBegin; |
| 1824 |
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32 | PetscValidHeaderSpecific(nep,NEP_CLASSID,1); |
| 1825 |
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32 | PetscValidLogicalCollectiveBool(nep,fullbasis,2); |
| 1826 |
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32 | PetscTryMethod(nep,"NEPNLEIGSSetFullBasis_C",(NEP,PetscBool),(nep,fullbasis)); |
| 1827 |
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32 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1828 | } | ||
| 1829 | |||
| 1830 | 8 | static PetscErrorCode NEPNLEIGSGetFullBasis_NLEIGS(NEP nep,PetscBool *fullbasis) | |
| 1831 | { | ||
| 1832 | 8 | NEP_NLEIGS *ctx=(NEP_NLEIGS*)nep->data; | |
| 1833 | |||
| 1834 |
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8 | PetscFunctionBegin; |
| 1835 | 8 | *fullbasis = ctx->fullbasis; | |
| 1836 |
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8 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1837 | } | ||
| 1838 | |||
| 1839 | /*@ | ||
| 1840 | NEPNLEIGSGetFullBasis - Gets the flag that indicates if NLEIGS is using the | ||
| 1841 | full-basis variant. | ||
| 1842 | |||
| 1843 | Not Collective | ||
| 1844 | |||
| 1845 | Input Parameter: | ||
| 1846 | . nep - the nonlinear eigensolver context | ||
| 1847 | |||
| 1848 | Output Parameter: | ||
| 1849 | . fullbasis - the flag | ||
| 1850 | |||
| 1851 | Level: advanced | ||
| 1852 | |||
| 1853 | .seealso: [](ch:nep), `NEPNLEIGS`, `NEPNLEIGSSetFullBasis()` | ||
| 1854 | @*/ | ||
| 1855 | 8 | PetscErrorCode NEPNLEIGSGetFullBasis(NEP nep,PetscBool *fullbasis) | |
| 1856 | { | ||
| 1857 |
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8 | PetscFunctionBegin; |
| 1858 |
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8 | PetscValidHeaderSpecific(nep,NEP_CLASSID,1); |
| 1859 |
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8 | PetscAssertPointer(fullbasis,2); |
| 1860 |
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8 | PetscUseMethod(nep,"NEPNLEIGSGetFullBasis_C",(NEP,PetscBool*),(nep,fullbasis)); |
| 1861 |
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8 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1862 | } | ||
| 1863 | |||
| 1864 | #define SHIFTMAX 30 | ||
| 1865 | |||
| 1866 | 218 | static PetscErrorCode NEPSetFromOptions_NLEIGS(NEP nep,PetscOptionItems PetscOptionsObject) | |
| 1867 | { | ||
| 1868 | 218 | NEP_NLEIGS *ctx = (NEP_NLEIGS*)nep->data; | |
| 1869 | 218 | PetscInt i=0,k; | |
| 1870 | 218 | PetscBool flg1,flg2,b; | |
| 1871 | 218 | PetscReal r; | |
| 1872 | 218 | PetscScalar array[SHIFTMAX]; | |
| 1873 | |||
| 1874 |
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218 | PetscFunctionBegin; |
| 1875 |
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218 | PetscOptionsHeadBegin(PetscOptionsObject,"NEP NLEIGS Options"); |
| 1876 | |||
| 1877 |
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218 | PetscCall(PetscOptionsReal("-nep_nleigs_restart","Proportion of vectors kept after restart","NEPNLEIGSSetRestart",0.5,&r,&flg1)); |
| 1878 |
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218 | if (flg1) PetscCall(NEPNLEIGSSetRestart(nep,r)); |
| 1879 | |||
| 1880 |
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218 | PetscCall(PetscOptionsBool("-nep_nleigs_locking","Choose between locking and non-locking variants","NEPNLEIGSSetLocking",PETSC_FALSE,&b,&flg1)); |
| 1881 |
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218 | if (flg1) PetscCall(NEPNLEIGSSetLocking(nep,b)); |
| 1882 | |||
| 1883 |
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218 | PetscCall(PetscOptionsBool("-nep_nleigs_full_basis","Choose between TOAR and full-basis variants","NEPNLEIGSSetFullBasis",PETSC_FALSE,&b,&flg1)); |
| 1884 |
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218 | if (flg1) PetscCall(NEPNLEIGSSetFullBasis(nep,b)); |
| 1885 | |||
| 1886 |
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218 | PetscCall(NEPNLEIGSGetInterpolation(nep,&r,&i)); |
| 1887 |
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218 | if (!i) i = PETSC_DETERMINE; |
| 1888 |
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218 | PetscCall(PetscOptionsInt("-nep_nleigs_interpolation_degree","Maximum number of terms for interpolation via divided differences","NEPNLEIGSSetInterpolation",i,&i,&flg1)); |
| 1889 |
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218 | PetscCall(PetscOptionsReal("-nep_nleigs_interpolation_tol","Tolerance for interpolation via divided differences","NEPNLEIGSSetInterpolation",r,&r,&flg2)); |
| 1890 |
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218 | if (flg1 || flg2) PetscCall(NEPNLEIGSSetInterpolation(nep,r,i)); |
| 1891 | |||
| 1892 | 218 | k = SHIFTMAX; | |
| 1893 |
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6758 | for (i=0;i<k;i++) array[i] = 0; |
| 1894 |
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218 | PetscCall(PetscOptionsScalarArray("-nep_nleigs_rk_shifts","Shifts for Rational Krylov","NEPNLEIGSSetRKShifts",array,&k,&flg1)); |
| 1895 |
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218 | if (flg1) PetscCall(NEPNLEIGSSetRKShifts(nep,k,array)); |
| 1896 | |||
| 1897 |
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218 | PetscOptionsHeadEnd(); |
| 1898 | |||
| 1899 |
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218 | if (!ctx->ksp) PetscCall(NEPNLEIGSGetKSPs(nep,&ctx->nshiftsw,&ctx->ksp)); |
| 1900 |
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508 | for (i=0;i<ctx->nshiftsw;i++) PetscCall(KSPSetFromOptions(ctx->ksp[i])); |
| 1901 | |||
| 1902 |
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218 | if (ctx->fullbasis) { |
| 1903 |
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24 | if (!ctx->eps) PetscCall(NEPNLEIGSGetEPS(nep,&ctx->eps)); |
| 1904 |
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24 | PetscCall(EPSSetFromOptions(ctx->eps)); |
| 1905 | } | ||
| 1906 |
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50 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1907 | } | ||
| 1908 | |||
| 1909 | 8 | static PetscErrorCode NEPView_NLEIGS(NEP nep,PetscViewer viewer) | |
| 1910 | { | ||
| 1911 | 8 | NEP_NLEIGS *ctx=(NEP_NLEIGS*)nep->data; | |
| 1912 | 8 | PetscBool isascii; | |
| 1913 | 8 | PetscInt i; | |
| 1914 | 8 | char str[50]; | |
| 1915 | |||
| 1916 |
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8 | PetscFunctionBegin; |
| 1917 |
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8 | PetscCall(PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&isascii)); |
| 1918 |
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8 | if (isascii) { |
| 1919 |
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8 | PetscCall(PetscViewerASCIIPrintf(viewer," %d%% of basis vectors kept after restart\n",(int)(100*ctx->keep))); |
| 1920 |
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8 | if (ctx->fullbasis) PetscCall(PetscViewerASCIIPrintf(viewer," using the full-basis variant\n")); |
| 1921 |
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8 | else PetscCall(PetscViewerASCIIPrintf(viewer," using the %slocking variant\n",ctx->lock?"":"non-")); |
| 1922 |
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8 | PetscCall(PetscViewerASCIIPrintf(viewer," divided difference terms: used=%" PetscInt_FMT ", max=%" PetscInt_FMT "\n",ctx->nmat,ctx->ddmaxit)); |
| 1923 |
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8 | PetscCall(PetscViewerASCIIPrintf(viewer," tolerance for divided difference convergence: %g\n",(double)ctx->ddtol)); |
| 1924 |
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8 | if (ctx->nshifts) { |
| 1925 |
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8 | PetscCall(PetscViewerASCIIPrintf(viewer," RK shifts: ")); |
| 1926 |
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8 | PetscCall(PetscViewerASCIIUseTabs(viewer,PETSC_FALSE)); |
| 1927 |
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40 | for (i=0;i<ctx->nshifts;i++) { |
| 1928 |
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32 | PetscCall(SlepcSNPrintfScalar(str,sizeof(str),ctx->shifts[i],PETSC_FALSE)); |
| 1929 |
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40 | PetscCall(PetscViewerASCIIPrintf(viewer,"%s%s",str,(i<ctx->nshifts-1)?",":"")); |
| 1930 | } | ||
| 1931 |
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8 | PetscCall(PetscViewerASCIIPrintf(viewer,"\n")); |
| 1932 |
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8 | PetscCall(PetscViewerASCIIUseTabs(viewer,PETSC_TRUE)); |
| 1933 | } | ||
| 1934 |
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8 | if (!ctx->ksp) PetscCall(NEPNLEIGSGetKSPs(nep,&ctx->nshiftsw,&ctx->ksp)); |
| 1935 |
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8 | PetscCall(PetscViewerASCIIPushTab(viewer)); |
| 1936 |
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8 | PetscCall(KSPView(ctx->ksp[0],viewer)); |
| 1937 |
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8 | PetscCall(PetscViewerASCIIPopTab(viewer)); |
| 1938 |
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8 | if (ctx->fullbasis) { |
| 1939 | ✗ | if (!ctx->eps) PetscCall(NEPNLEIGSGetEPS(nep,&ctx->eps)); | |
| 1940 | ✗ | PetscCall(PetscViewerASCIIPushTab(viewer)); | |
| 1941 | ✗ | PetscCall(EPSView(ctx->eps,viewer)); | |
| 1942 | ✗ | PetscCall(PetscViewerASCIIPopTab(viewer)); | |
| 1943 | } | ||
| 1944 | } | ||
| 1945 |
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2 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1946 | } | ||
| 1947 | |||
| 1948 | 234 | static PetscErrorCode NEPReset_NLEIGS(NEP nep) | |
| 1949 | { | ||
| 1950 | 234 | PetscInt k; | |
| 1951 | 234 | NEP_NLEIGS *ctx=(NEP_NLEIGS*)nep->data; | |
| 1952 | |||
| 1953 |
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234 | PetscFunctionBegin; |
| 1954 |
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234 | if (nep->fui==NEP_USER_INTERFACE_SPLIT) PetscCall(PetscFree(ctx->coeffD)); |
| 1955 | else { | ||
| 1956 |
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1360 | for (k=0;k<ctx->nmat;k++) PetscCall(MatDestroy(&ctx->D[k])); |
| 1957 | } | ||
| 1958 |
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234 | PetscCall(PetscFree4(ctx->s,ctx->xi,ctx->beta,ctx->D)); |
| 1959 |
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540 | for (k=0;k<ctx->nshiftsw;k++) PetscCall(KSPReset(ctx->ksp[k])); |
| 1960 |
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234 | PetscCall(VecDestroy(&ctx->vrn)); |
| 1961 |
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234 | if (ctx->fullbasis) { |
| 1962 |
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24 | PetscCall(MatDestroy(&ctx->A)); |
| 1963 |
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24 | PetscCall(EPSReset(ctx->eps)); |
| 1964 |
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120 | for (k=0;k<4;k++) PetscCall(VecDestroy(&ctx->w[k])); |
| 1965 | } | ||
| 1966 |
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54 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1967 | } | ||
| 1968 | |||
| 1969 | 275 | static PetscErrorCode NEPDestroy_NLEIGS(NEP nep) | |
| 1970 | { | ||
| 1971 | 275 | PetscInt k; | |
| 1972 | 275 | NEP_NLEIGS *ctx = (NEP_NLEIGS*)nep->data; | |
| 1973 | |||
| 1974 |
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275 | PetscFunctionBegin; |
| 1975 |
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275 | PetscCall(BVDestroy(&ctx->V)); |
| 1976 |
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565 | for (k=0;k<ctx->nshiftsw;k++) PetscCall(KSPDestroy(&ctx->ksp[k])); |
| 1977 |
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275 | PetscCall(PetscFree(ctx->ksp)); |
| 1978 |
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275 | if (ctx->nshifts) PetscCall(PetscFree(ctx->shifts)); |
| 1979 |
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275 | if (ctx->fullbasis) PetscCall(EPSDestroy(&ctx->eps)); |
| 1980 |
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275 | PetscCall(PetscFree(nep->data)); |
| 1981 |
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275 | PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPNLEIGSSetSingularitiesFunction_C",NULL)); |
| 1982 |
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275 | PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPNLEIGSGetSingularitiesFunction_C",NULL)); |
| 1983 |
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275 | PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPNLEIGSSetRestart_C",NULL)); |
| 1984 |
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275 | PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPNLEIGSGetRestart_C",NULL)); |
| 1985 |
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275 | PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPNLEIGSSetLocking_C",NULL)); |
| 1986 |
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275 | PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPNLEIGSGetLocking_C",NULL)); |
| 1987 |
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275 | PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPNLEIGSSetInterpolation_C",NULL)); |
| 1988 |
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275 | PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPNLEIGSGetInterpolation_C",NULL)); |
| 1989 |
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275 | PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPNLEIGSSetRKShifts_C",NULL)); |
| 1990 |
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275 | PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPNLEIGSGetRKShifts_C",NULL)); |
| 1991 |
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275 | PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPNLEIGSGetKSPs_C",NULL)); |
| 1992 |
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275 | PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPNLEIGSSetFullBasis_C",NULL)); |
| 1993 |
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275 | PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPNLEIGSGetFullBasis_C",NULL)); |
| 1994 |
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275 | PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPNLEIGSSetEPS_C",NULL)); |
| 1995 |
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275 | PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPNLEIGSGetEPS_C",NULL)); |
| 1996 |
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|
65 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1997 | } | ||
| 1998 | |||
| 1999 | /*MC | ||
| 2000 | NEPNLEIGS - NEPNLEIGS = "nleigs" - The NLEIGS method. | ||
| 2001 | |||
| 2002 | Notes: | ||
| 2003 | This solver implements the NLEIGS method {cite:p}`Gut14`, which | ||
| 2004 | is based on rational interpolation followed by linearization. | ||
| 2005 | In our implementation, the linear eigensolver for the linearization | ||
| 2006 | operates with a compressed Krylov basis, as in the TOAR polynomial | ||
| 2007 | eigensolver, see the detailed description in {cite:p}`Cam21`. | ||
| 2008 | |||
| 2009 | This method is particularly appropriate for nonlinear problems with | ||
| 2010 | singularities. The solver will try to determine the singularities | ||
| 2011 | automatically, but the user can also provide them with | ||
| 2012 | `NEPNLEIGSSetSingularitiesFunction()`. | ||
| 2013 | |||
| 2014 | By default, the solver performs the static NLEIGS variant, with | ||
| 2015 | constant shift given by `NEPSetTarget()`. But the dynamic variant | ||
| 2016 | (rational Krylov) is also available if a list of shifts is given | ||
| 2017 | in `NEPNLEIGSSetRKShifts()`. | ||
| 2018 | |||
| 2019 | `NEPNLEIGS` also implements a two-sided variant for computing left | ||
| 2020 | eigenvectors when `NEPSetTwoSided()` has been set. | ||
| 2021 | |||
| 2022 | Apart from working with the compressed basis, it is also possible | ||
| 2023 | to enable the operation with an explicit basis for the linear | ||
| 2024 | eigensolver, see `NEPNLEIGSSetFullBasis()`. This allows using | ||
| 2025 | other eigensolvers via an `EPS` object obtained with `NEPNLEIGSGetEPS()`. | ||
| 2026 | Also, the explicit basis is activated in the two-sided variant. | ||
| 2027 | |||
| 2028 | Level: beginner | ||
| 2029 | |||
| 2030 | .seealso: [](ch:nep), `NEP`, `NEPType`, `NEPSetType()`, `NEPNLEIGSSetSingularitiesFunction()`, `NEPSetTarget()`, `NEPNLEIGSSetRKShifts()`, `NEPNLEIGSSetFullBasis()`, `NEPNLEIGSGetEPS()`, `NEPSetTwoSided()` | ||
| 2031 | M*/ | ||
| 2032 | 275 | SLEPC_EXTERN PetscErrorCode NEPCreate_NLEIGS(NEP nep) | |
| 2033 | { | ||
| 2034 | 275 | NEP_NLEIGS *ctx; | |
| 2035 | |||
| 2036 |
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275 | PetscFunctionBegin; |
| 2037 |
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275 | PetscCall(PetscNew(&ctx)); |
| 2038 | 275 | nep->data = (void*)ctx; | |
| 2039 | 275 | ctx->lock = PETSC_TRUE; | |
| 2040 | 275 | ctx->ddtol = PETSC_DETERMINE; | |
| 2041 | |||
| 2042 | 275 | nep->useds = PETSC_TRUE; | |
| 2043 | |||
| 2044 | 275 | nep->ops->setup = NEPSetUp_NLEIGS; | |
| 2045 | 275 | nep->ops->setfromoptions = NEPSetFromOptions_NLEIGS; | |
| 2046 | 275 | nep->ops->view = NEPView_NLEIGS; | |
| 2047 | 275 | nep->ops->destroy = NEPDestroy_NLEIGS; | |
| 2048 | 275 | nep->ops->reset = NEPReset_NLEIGS; | |
| 2049 | |||
| 2050 |
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275 | PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPNLEIGSSetSingularitiesFunction_C",NEPNLEIGSSetSingularitiesFunction_NLEIGS)); |
| 2051 |
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275 | PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPNLEIGSGetSingularitiesFunction_C",NEPNLEIGSGetSingularitiesFunction_NLEIGS)); |
| 2052 |
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275 | PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPNLEIGSSetRestart_C",NEPNLEIGSSetRestart_NLEIGS)); |
| 2053 |
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275 | PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPNLEIGSGetRestart_C",NEPNLEIGSGetRestart_NLEIGS)); |
| 2054 |
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275 | PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPNLEIGSSetLocking_C",NEPNLEIGSSetLocking_NLEIGS)); |
| 2055 |
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275 | PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPNLEIGSGetLocking_C",NEPNLEIGSGetLocking_NLEIGS)); |
| 2056 |
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275 | PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPNLEIGSSetInterpolation_C",NEPNLEIGSSetInterpolation_NLEIGS)); |
| 2057 |
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275 | PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPNLEIGSGetInterpolation_C",NEPNLEIGSGetInterpolation_NLEIGS)); |
| 2058 |
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275 | PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPNLEIGSSetRKShifts_C",NEPNLEIGSSetRKShifts_NLEIGS)); |
| 2059 |
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275 | PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPNLEIGSGetRKShifts_C",NEPNLEIGSGetRKShifts_NLEIGS)); |
| 2060 |
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275 | PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPNLEIGSGetKSPs_C",NEPNLEIGSGetKSPs_NLEIGS)); |
| 2061 |
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275 | PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPNLEIGSSetFullBasis_C",NEPNLEIGSSetFullBasis_NLEIGS)); |
| 2062 |
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275 | PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPNLEIGSGetFullBasis_C",NEPNLEIGSGetFullBasis_NLEIGS)); |
| 2063 |
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275 | PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPNLEIGSSetEPS_C",NEPNLEIGSSetEPS_NLEIGS)); |
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275 | PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPNLEIGSGetEPS_C",NEPNLEIGSGetEPS_NLEIGS)); |
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65 | PetscFunctionReturn(PETSC_SUCCESS); |
| 2066 | } | ||
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