| 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 eigensolver: "power" | ||
| 12 | |||
| 13 | Method: Power Iteration | ||
| 14 | |||
| 15 | Algorithm: | ||
| 16 | |||
| 17 | This solver implements the power iteration for finding dominant | ||
| 18 | eigenpairs. It also includes the following well-known methods: | ||
| 19 | - Inverse Iteration: when used in combination with shift-and-invert | ||
| 20 | spectral transformation. | ||
| 21 | - Rayleigh Quotient Iteration (RQI): also with shift-and-invert plus | ||
| 22 | a variable shift. | ||
| 23 | |||
| 24 | It can also be used for nonlinear inverse iteration on the problem | ||
| 25 | A(x)*x=lambda*B(x)*x, where A and B are not constant but depend on x. | ||
| 26 | |||
| 27 | References: | ||
| 28 | |||
| 29 | [1] "Single Vector Iteration Methods in SLEPc", SLEPc Technical Report | ||
| 30 | STR-2, available at https://slepc.upv.es. | ||
| 31 | */ | ||
| 32 | |||
| 33 | #include <slepc/private/epsimpl.h> /*I "slepceps.h" I*/ | ||
| 34 | #include <slepcblaslapack.h> | ||
| 35 | /* PETSc headers */ | ||
| 36 | #include <petscdm.h> | ||
| 37 | #include <petscsnes.h> | ||
| 38 | |||
| 39 | static PetscErrorCode EPSPowerFormFunction_Update(SNES,Vec,Vec,void*); | ||
| 40 | static PetscErrorCode EPSSolve_Power(EPS); | ||
| 41 | static PetscErrorCode EPSSolve_TS_Power(EPS); | ||
| 42 | |||
| 43 | typedef struct { | ||
| 44 | EPSPowerShiftType shift_type; | ||
| 45 | PetscBool nonlinear; | ||
| 46 | PetscBool update; | ||
| 47 | PetscBool sign_normalization; | ||
| 48 | SNES snes; | ||
| 49 | PetscErrorCode (*formFunctionB)(SNES,Vec,Vec,void*); | ||
| 50 | void *formFunctionBctx; | ||
| 51 | PetscErrorCode (*formFunctionA)(SNES,Vec,Vec,void*); | ||
| 52 | void *formFunctionActx; | ||
| 53 | PetscErrorCode (*formFunctionAB)(SNES,Vec,Vec,Vec,void*); | ||
| 54 | PetscErrorCode (*formNorm)(SNES,Vec,PetscReal*,void*); | ||
| 55 | void *formNormCtx; | ||
| 56 | PetscInt idx; /* index of the first nonzero entry in the iteration vector */ | ||
| 57 | PetscMPIInt p; /* process id of the owner of idx */ | ||
| 58 | PetscReal norm0; /* norm of initial vector */ | ||
| 59 | } EPS_POWER; | ||
| 60 | |||
| 61 | 744 | static PetscErrorCode SNESMonitor_PowerUpdate(SNES snes,PetscInt its,PetscReal fnorm,void *ctx) | |
| 62 | { | ||
| 63 | 744 | EPS eps; | |
| 64 | |||
| 65 |
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744 | PetscFunctionBegin; |
| 66 |
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744 | PetscCall(PetscObjectQuery((PetscObject)snes,"eps",(PetscObject *)&eps)); |
| 67 |
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744 | PetscCheck(eps,PetscObjectComm((PetscObject)snes),PETSC_ERR_ARG_NULL,"No composed EPS"); |
| 68 | /* Call EPS monitor on each SNES iteration */ | ||
| 69 |
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744 | PetscCall(EPSMonitor(eps,its,eps->nconv,eps->eigr,eps->eigi,eps->errest,PetscMin(eps->nconv+1,eps->nev))); |
| 70 |
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186 | PetscFunctionReturn(PETSC_SUCCESS); |
| 71 | } | ||
| 72 | |||
| 73 | 406 | static PetscErrorCode EPSSetUp_Power(EPS eps) | |
| 74 | { | ||
| 75 | 406 | EPS_POWER *power = (EPS_POWER*)eps->data; | |
| 76 | 406 | STMatMode mode; | |
| 77 | 406 | Mat A,B,P; | |
| 78 | 406 | Vec res; | |
| 79 | 406 | PetscContainer container; | |
| 80 | 406 | PetscErrorCode (*formFunctionA)(SNES,Vec,Vec,void*); | |
| 81 | 406 | PetscErrorCode (*formJacobianA)(SNES,Vec,Mat,Mat,void*); | |
| 82 | 406 | PetscErrorCode (*formNorm)(SNES,Vec,PetscReal*,void*); | |
| 83 | 406 | void *ctx; | |
| 84 | |||
| 85 |
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406 | PetscFunctionBegin; |
| 86 |
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406 | EPSCheckNotStructured(eps); |
| 87 |
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406 | if (eps->nev==0) eps->nev = 1; |
| 88 |
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406 | if (eps->ncv!=PETSC_DETERMINE) { |
| 89 |
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40 | PetscCheck(eps->ncv>=eps->nev,PetscObjectComm((PetscObject)eps),PETSC_ERR_USER_INPUT,"The value of ncv must be at least nev"); |
| 90 | 366 | } else eps->ncv = eps->nev; | |
| 91 |
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406 | if (eps->mpd!=PETSC_DETERMINE) PetscCall(PetscInfo(eps,"Warning: parameter mpd ignored\n")); |
| 92 |
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406 | if (eps->max_it==PETSC_DETERMINE) { |
| 93 | /* SNES will directly return the solution for us, and we need to do only one iteration */ | ||
| 94 |
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246 | if (power->nonlinear && power->update) eps->max_it = 1; |
| 95 | 142 | else eps->max_it = PetscMax(1000*eps->nev,100*eps->n); | |
| 96 | } | ||
| 97 |
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406 | if (!eps->which) PetscCall(EPSSetWhichEigenpairs_Default(eps)); |
| 98 |
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406 | PetscCheck(eps->which==EPS_LARGEST_MAGNITUDE || eps->which==EPS_TARGET_MAGNITUDE,PetscObjectComm((PetscObject)eps),PETSC_ERR_SUP,"This solver supports only largest magnitude or target magnitude eigenvalues"); |
| 99 |
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406 | if (power->shift_type != EPS_POWER_SHIFT_CONSTANT) { |
| 100 |
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40 | PetscCheck(!power->nonlinear,PetscObjectComm((PetscObject)eps),PETSC_ERR_SUP,"Variable shifts not allowed in nonlinear problems"); |
| 101 |
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40 | EPSCheckSinvertCayleyCondition(eps,PETSC_TRUE," (with variable shifts)"); |
| 102 |
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40 | PetscCall(STGetMatMode(eps->st,&mode)); |
| 103 |
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40 | PetscCheck(mode!=ST_MATMODE_INPLACE,PetscObjectComm((PetscObject)eps),PETSC_ERR_SUP,"ST matrix mode inplace does not work with variable shifts"); |
| 104 | } | ||
| 105 |
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406 | EPSCheckUnsupported(eps,EPS_FEATURE_BALANCE | EPS_FEATURE_ARBITRARY | EPS_FEATURE_REGION | EPS_FEATURE_CONVERGENCE | EPS_FEATURE_THRESHOLD); |
| 106 |
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406 | EPSCheckIgnored(eps,EPS_FEATURE_EXTRACTION); |
| 107 |
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406 | PetscCall(EPSAllocateSolution(eps,0)); |
| 108 |
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406 | PetscCall(EPS_SetInnerProduct(eps)); |
| 109 | |||
| 110 |
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406 | if (power->nonlinear) { |
| 111 |
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264 | PetscCheck(eps->nev==1,PetscObjectComm((PetscObject)eps),PETSC_ERR_SUP,"Nonlinear inverse iteration cannot compute more than one eigenvalue"); |
| 112 |
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264 | PetscCall(EPSSetWorkVecs(eps,3)); |
| 113 |
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264 | PetscCheck(!power->update || eps->max_it==1,PetscObjectComm((PetscObject)eps),PETSC_ERR_SUP,"More than one iteration is not allowed for Newton eigensolver (SNES)"); |
| 114 | |||
| 115 | /* Set up SNES solver */ | ||
| 116 | /* If SNES was setup, we need to reset it so that it will be consistent with the current EPS */ | ||
| 117 |
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264 | if (power->snes) PetscCall(SNESReset(power->snes)); |
| 118 | ✗ | else PetscCall(EPSPowerGetSNES(eps,&power->snes)); | |
| 119 | |||
| 120 | /* For nonlinear solver (Newton), we should scale the initial vector back. | ||
| 121 | The initial vector will be scaled in EPSSetUp. */ | ||
| 122 |
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264 | if (eps->IS) PetscCall(VecNorm(eps->IS[0],NORM_2,&power->norm0)); |
| 123 | |||
| 124 |
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264 | PetscCall(EPSGetOperators(eps,&A,&B)); |
| 125 | |||
| 126 | /* form function */ | ||
| 127 |
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264 | PetscCall(PetscObjectQueryFunction((PetscObject)A,"formFunction",&formFunctionA)); |
| 128 |
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264 | PetscCheck(formFunctionA,PetscObjectComm((PetscObject)eps),PETSC_ERR_USER,"For nonlinear inverse iteration you must compose a callback function 'formFunction' in matrix A"); |
| 129 |
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264 | PetscCall(PetscObjectQuery((PetscObject)A,"formFunctionCtx",(PetscObject*)&container)); |
| 130 |
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264 | if (container) PetscCall(PetscContainerGetPointer(container,&ctx)); |
| 131 | ✗ | else ctx = NULL; | |
| 132 |
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264 | PetscCall(MatCreateVecs(A,&res,NULL)); |
| 133 | 264 | power->formFunctionA = formFunctionA; | |
| 134 | 264 | power->formFunctionActx = ctx; | |
| 135 |
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264 | if (power->update) { |
| 136 |
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120 | PetscCall(SNESSetFunction(power->snes,res,EPSPowerFormFunction_Update,ctx)); |
| 137 |
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120 | PetscCall(PetscObjectQueryFunction((PetscObject)A,"formFunctionAB",&power->formFunctionAB)); |
| 138 |
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120 | PetscCall(SNESMonitorSet(power->snes,SNESMonitor_PowerUpdate,NULL,NULL)); |
| 139 | } | ||
| 140 |
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144 | else PetscCall(SNESSetFunction(power->snes,res,formFunctionA,ctx)); |
| 141 |
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264 | PetscCall(VecDestroy(&res)); |
| 142 | |||
| 143 | /* form Jacobian */ | ||
| 144 |
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264 | PetscCall(PetscObjectQueryFunction((PetscObject)A,"formJacobian",&formJacobianA)); |
| 145 |
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264 | PetscCheck(formJacobianA,PetscObjectComm((PetscObject)eps),PETSC_ERR_USER,"For nonlinear inverse iteration you must compose a callback function 'formJacobian' in matrix A"); |
| 146 |
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264 | PetscCall(PetscObjectQuery((PetscObject)A,"formJacobianCtx",(PetscObject*)&container)); |
| 147 |
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264 | if (container) PetscCall(PetscContainerGetPointer(container,&ctx)); |
| 148 | ✗ | else ctx = NULL; | |
| 149 | /* This allows users to compute a different preconditioning matrix than A. | ||
| 150 | * It is useful when A and B are shell matrices. | ||
| 151 | */ | ||
| 152 |
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264 | PetscCall(STGetPreconditionerMat(eps->st,&P)); |
| 153 | /* If users do not provide a matrix, we simply use A */ | ||
| 154 |
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264 | PetscCall(SNESSetJacobian(power->snes,A,P? P:A,formJacobianA,ctx)); |
| 155 |
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264 | PetscCall(SNESSetFromOptions(power->snes)); |
| 156 |
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264 | PetscCall(SNESSetUp(power->snes)); |
| 157 | |||
| 158 | 264 | ctx = NULL; | |
| 159 | 264 | formNorm = NULL; | |
| 160 |
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264 | if (B) { |
| 161 |
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264 | PetscCall(PetscObjectQueryFunction((PetscObject)B,"formFunction",&power->formFunctionB)); |
| 162 |
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264 | PetscCall(PetscObjectQuery((PetscObject)B,"formFunctionCtx",(PetscObject*)&container)); |
| 163 |
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264 | if (power->formFunctionB && container) PetscCall(PetscContainerGetPointer(container,&power->formFunctionBctx)); |
| 164 | ✗ | else power->formFunctionBctx = NULL; | |
| 165 | |||
| 166 | /* form norm */ | ||
| 167 |
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264 | PetscCall(PetscObjectQueryFunction((PetscObject)B,"formNorm",&formNorm)); |
| 168 |
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264 | if (formNorm) { |
| 169 |
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72 | PetscCall(PetscObjectQuery((PetscObject)B,"formNormCtx",(PetscObject*)&container)); |
| 170 |
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72 | if (container) PetscCall(PetscContainerGetPointer(container,&ctx)); |
| 171 | } | ||
| 172 | } | ||
| 173 | 264 | power->formNorm = formNorm; | |
| 174 | 264 | power->formNormCtx = ctx; | |
| 175 | } else { | ||
| 176 |
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142 | if (eps->twosided) PetscCall(EPSSetWorkVecs(eps,3)); |
| 177 |
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110 | else PetscCall(EPSSetWorkVecs(eps,2)); |
| 178 |
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142 | PetscCall(DSSetType(eps->ds,DSNHEP)); |
| 179 |
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142 | PetscCall(DSAllocate(eps->ds,eps->nev)); |
| 180 | } | ||
| 181 | /* dispatch solve method */ | ||
| 182 |
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406 | if (eps->twosided) { |
| 183 |
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32 | PetscCheck(!power->nonlinear,PetscObjectComm((PetscObject)eps),PETSC_ERR_SUP,"Nonlinear inverse iteration does not have two-sided variant"); |
| 184 |
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32 | PetscCheck(power->shift_type!=EPS_POWER_SHIFT_WILKINSON,PetscObjectComm((PetscObject)eps),PETSC_ERR_SUP,"Two-sided variant does not support Wilkinson shifts"); |
| 185 | 32 | eps->ops->solve = EPSSolve_TS_Power; | |
| 186 | 374 | } else eps->ops->solve = EPSSolve_Power; | |
| 187 |
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102 | PetscFunctionReturn(PETSC_SUCCESS); |
| 188 | } | ||
| 189 | |||
| 190 | /* | ||
| 191 | Find the index of the first nonzero entry of x, and the process that owns it. | ||
| 192 | */ | ||
| 193 | 264 | static PetscErrorCode FirstNonzeroIdx(Vec x,PetscInt *idx,PetscMPIInt *p) | |
| 194 | { | ||
| 195 | 264 | PetscInt i,first,last,N; | |
| 196 | 264 | PetscLayout map; | |
| 197 | 264 | const PetscScalar *xx; | |
| 198 | |||
| 199 |
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264 | PetscFunctionBegin; |
| 200 |
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264 | PetscCall(VecGetSize(x,&N)); |
| 201 |
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264 | PetscCall(VecGetOwnershipRange(x,&first,&last)); |
| 202 |
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264 | PetscCall(VecGetArrayRead(x,&xx)); |
| 203 |
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2904 | for (i=first;i<last;i++) { |
| 204 |
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2904 | if (PetscAbsScalar(xx[i-first])>10*PETSC_MACHINE_EPSILON) break; |
| 205 | } | ||
| 206 |
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264 | PetscCall(VecRestoreArrayRead(x,&xx)); |
| 207 |
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264 | if (i==last) i=N; |
| 208 |
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264 | PetscCallMPI(MPIU_Allreduce(&i,idx,1,MPIU_INT,MPI_MIN,PetscObjectComm((PetscObject)x))); |
| 209 |
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264 | PetscCheck(*idx!=N,PetscObjectComm((PetscObject)x),PETSC_ERR_PLIB,"Zero vector found"); |
| 210 |
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264 | PetscCall(VecGetLayout(x,&map)); |
| 211 |
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264 | PetscCall(PetscLayoutFindOwner(map,*idx,p)); |
| 212 |
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66 | PetscFunctionReturn(PETSC_SUCCESS); |
| 213 | } | ||
| 214 | |||
| 215 | /* | ||
| 216 | Normalize a vector x with respect to a given norm as well as, optionally, the | ||
| 217 | sign of the first nonzero entry (assumed to be idx in process p). | ||
| 218 | */ | ||
| 219 | 217711 | static PetscErrorCode Normalize(Vec x,PetscReal norm,PetscInt idx,PetscMPIInt p,PetscBool sign_normalization,PetscScalar *sign) | |
| 220 | { | ||
| 221 | 217711 | PetscScalar alpha=1.0; | |
| 222 | 217711 | PetscInt first,last; | |
| 223 | 217711 | PetscReal absv; | |
| 224 | 217711 | const PetscScalar *xx; | |
| 225 | |||
| 226 |
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217711 | PetscFunctionBegin; |
| 227 |
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217711 | if (sign_normalization) { |
| 228 |
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215735 | PetscCall(VecGetOwnershipRange(x,&first,&last)); |
| 229 |
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215735 | if (idx>=first && idx<last) { |
| 230 |
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215735 | PetscCall(VecGetArrayRead(x,&xx)); |
| 231 | 215735 | absv = PetscAbsScalar(xx[idx-first]); | |
| 232 |
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215735 | if (absv>10*PETSC_MACHINE_EPSILON) alpha = xx[idx-first]/absv; |
| 233 |
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215735 | PetscCall(VecRestoreArrayRead(x,&xx)); |
| 234 | } | ||
| 235 |
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431470 | PetscCallMPI(MPI_Bcast(&alpha,1,MPIU_SCALAR,p,PetscObjectComm((PetscObject)x))); |
| 236 | } | ||
| 237 |
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217711 | if (sign) *sign = alpha; |
| 238 | 217711 | alpha *= norm; | |
| 239 |
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217711 | PetscCall(VecScale(x,1.0/alpha)); |
| 240 |
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54501 | PetscFunctionReturn(PETSC_SUCCESS); |
| 241 | } | ||
| 242 | |||
| 243 | 4376 | static PetscErrorCode EPSPowerUpdateFunctionB(EPS eps,Vec x,Vec Bx) | |
| 244 | { | ||
| 245 | 4376 | EPS_POWER *power = (EPS_POWER*)eps->data; | |
| 246 | 4376 | Mat B; | |
| 247 | |||
| 248 |
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4376 | PetscFunctionBegin; |
| 249 |
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4376 | PetscCall(STResetMatrixState(eps->st)); |
| 250 |
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4376 | PetscCall(EPSGetOperators(eps,NULL,&B)); |
| 251 |
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4376 | if (B) { |
| 252 |
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4376 | if (power->formFunctionB) PetscCall((*power->formFunctionB)(power->snes,x,Bx,power->formFunctionBctx)); |
| 253 | ✗ | else PetscCall(MatMult(B,x,Bx)); | |
| 254 | ✗ | } else PetscCall(VecCopy(x,Bx)); | |
| 255 |
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1094 | PetscFunctionReturn(PETSC_SUCCESS); |
| 256 | } | ||
| 257 | |||
| 258 | 2668 | static PetscErrorCode EPSPowerUpdateFunctionA(EPS eps,Vec x,Vec Ax) | |
| 259 | { | ||
| 260 | 2668 | EPS_POWER *power = (EPS_POWER*)eps->data; | |
| 261 | 2668 | Mat A; | |
| 262 | |||
| 263 |
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2668 | PetscFunctionBegin; |
| 264 |
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2668 | PetscCall(STResetMatrixState(eps->st)); |
| 265 |
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2668 | PetscCall(EPSGetOperators(eps,&A,NULL)); |
| 266 |
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2668 | PetscCheck(A,PetscObjectComm((PetscObject)eps),PETSC_ERR_ARG_NULL,"Matrix A is required for an eigenvalue problem"); |
| 267 |
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2668 | if (power->formFunctionA) PetscCall((*power->formFunctionA)(power->snes,x,Ax,power->formFunctionActx)); |
| 268 | ✗ | else PetscCall(MatMult(A,x,Ax)); | |
| 269 |
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667 | PetscFunctionReturn(PETSC_SUCCESS); |
| 270 | } | ||
| 271 | |||
| 272 | 4504 | static PetscErrorCode EPSPowerFormFunction_Update(SNES snes,Vec x,Vec y,void *ctx) | |
| 273 | { | ||
| 274 | 4504 | EPS eps; | |
| 275 | 4504 | PetscReal bx; | |
| 276 | 4504 | Vec Bx; | |
| 277 | 4504 | PetscScalar sign; | |
| 278 | 4504 | EPS_POWER *power; | |
| 279 | |||
| 280 |
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4504 | PetscFunctionBegin; |
| 281 |
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4504 | PetscCall(PetscObjectQuery((PetscObject)snes,"eps",(PetscObject *)&eps)); |
| 282 |
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4504 | PetscCheck(eps,PetscObjectComm((PetscObject)snes),PETSC_ERR_ARG_NULL,"No composed EPS"); |
| 283 |
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4504 | PetscCall(STResetMatrixState(eps->st)); |
| 284 | 4504 | power = (EPS_POWER*)eps->data; | |
| 285 | 4504 | Bx = eps->work[2]; | |
| 286 |
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4504 | if (power->formFunctionAB) PetscCall((*power->formFunctionAB)(snes,x,y,Bx,ctx)); |
| 287 | else { | ||
| 288 |
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2668 | PetscCall(EPSPowerUpdateFunctionA(eps,x,y)); |
| 289 |
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2668 | PetscCall(EPSPowerUpdateFunctionB(eps,x,Bx)); |
| 290 | } | ||
| 291 |
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4504 | if (power->formNorm) PetscCall((*power->formNorm)(snes,Bx,&bx,power->formNormCtx)); |
| 292 |
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3136 | else PetscCall(VecNorm(Bx,NORM_2,&bx)); |
| 293 |
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4504 | PetscCall(Normalize(Bx,bx,power->idx,power->p,power->sign_normalization,&sign)); |
| 294 |
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4504 | PetscCall(VecAXPY(y,-1.0,Bx)); |
| 295 | /* Keep tracking eigenvalue update. It would be useful when we want to monitor solver progress via snes monitor. */ | ||
| 296 |
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4504 | eps->eigr[(eps->nconv < eps->nev)? eps->nconv:(eps->nconv-1)] = 1.0/((PetscScalar)bx*sign); |
| 297 |
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4504 | PetscFunctionReturn(PETSC_SUCCESS); |
| 298 | } | ||
| 299 | |||
| 300 | /* | ||
| 301 | Use SNES to compute y = A^{-1}*B*x for the nonlinear problem | ||
| 302 | */ | ||
| 303 | 1564 | static PetscErrorCode EPSPowerApply_SNES(EPS eps,Vec x,Vec y) | |
| 304 | { | ||
| 305 | 1564 | EPS_POWER *power = (EPS_POWER*)eps->data; | |
| 306 | 1564 | Vec Bx; | |
| 307 | |||
| 308 |
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1564 | PetscFunctionBegin; |
| 309 |
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1564 | PetscCall(VecCopy(x,y)); |
| 310 |
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1564 | if (power->update) PetscCall(SNESSolve(power->snes,NULL,y)); |
| 311 | else { | ||
| 312 | 1444 | Bx = eps->work[2]; | |
| 313 |
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1444 | PetscCall(SNESSolve(power->snes,Bx,y)); |
| 314 | } | ||
| 315 |
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391 | PetscFunctionReturn(PETSC_SUCCESS); |
| 316 | } | ||
| 317 | |||
| 318 | /* | ||
| 319 | Use nonlinear inverse power to compute an initial guess | ||
| 320 | */ | ||
| 321 | 104 | static PetscErrorCode EPSPowerComputeInitialGuess_Update(EPS eps) | |
| 322 | { | ||
| 323 | 104 | EPS powereps; | |
| 324 | 104 | Mat A,B,P; | |
| 325 | 104 | Vec v1,v2; | |
| 326 | 104 | SNES snes; | |
| 327 | 104 | DM dm,newdm; | |
| 328 | 104 | PetscBool sign_normalization; | |
| 329 | |||
| 330 |
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104 | PetscFunctionBegin; |
| 331 |
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104 | PetscCall(EPSCreate(PetscObjectComm((PetscObject)eps),&powereps)); |
| 332 |
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104 | PetscCall(EPSGetOperators(eps,&A,&B)); |
| 333 |
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104 | PetscCall(EPSSetType(powereps,EPSPOWER)); |
| 334 |
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104 | PetscCall(EPSSetOperators(powereps,A,B)); |
| 335 |
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104 | PetscCall(EPSSetTolerances(powereps,1e-6,4)); |
| 336 |
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104 | PetscCall(EPSSetOptionsPrefix(powereps,((PetscObject)eps)->prefix)); |
| 337 |
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104 | PetscCall(EPSAppendOptionsPrefix(powereps,"init_")); |
| 338 |
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104 | PetscCall(EPSSetProblemType(powereps,EPS_GNHEP)); |
| 339 |
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104 | PetscCall(EPSSetWhichEigenpairs(powereps,EPS_TARGET_MAGNITUDE)); |
| 340 |
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104 | PetscCall(EPSPowerSetNonlinear(powereps,PETSC_TRUE)); |
| 341 |
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104 | PetscCall(STGetPreconditionerMat(eps->st,&P)); |
| 342 | /* attach dm to initial solve */ | ||
| 343 |
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104 | PetscCall(EPSPowerGetSNES(eps,&snes)); |
| 344 |
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104 | PetscCall(SNESGetDM(snes,&dm)); |
| 345 | /* use dmshell to temporarily store snes context */ | ||
| 346 |
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104 | PetscCall(DMCreate(PetscObjectComm((PetscObject)eps),&newdm)); |
| 347 |
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104 | PetscCall(DMSetType(newdm,DMSHELL)); |
| 348 |
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104 | PetscCall(DMSetUp(newdm)); |
| 349 |
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104 | PetscCall(DMCopyDMSNES(dm,newdm)); |
| 350 |
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104 | PetscCall(EPSPowerGetSNES(powereps,&snes)); |
| 351 |
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104 | PetscCall(SNESSetDM(snes,dm)); |
| 352 |
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104 | PetscCall(EPSPowerGetSignNormalization(eps,&sign_normalization)); |
| 353 |
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104 | PetscCall(EPSPowerSetSignNormalization(powereps,sign_normalization)); |
| 354 |
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104 | PetscCall(EPSSetFromOptions(powereps)); |
| 355 |
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104 | if (P) PetscCall(STSetPreconditionerMat(powereps->st,P)); |
| 356 |
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104 | PetscCall(EPSSolve(powereps)); |
| 357 |
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104 | PetscCall(BVGetColumn(eps->V,0,&v2)); |
| 358 |
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104 | PetscCall(BVGetColumn(powereps->V,0,&v1)); |
| 359 |
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104 | PetscCall(VecCopy(v1,v2)); |
| 360 |
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104 | PetscCall(BVRestoreColumn(powereps->V,0,&v1)); |
| 361 |
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104 | PetscCall(BVRestoreColumn(eps->V,0,&v2)); |
| 362 |
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104 | PetscCall(EPSDestroy(&powereps)); |
| 363 | /* restore context back to the old nonlinear solver */ | ||
| 364 |
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104 | PetscCall(DMCopyDMSNES(newdm,dm)); |
| 365 |
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104 | PetscCall(DMDestroy(&newdm)); |
| 366 |
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26 | PetscFunctionReturn(PETSC_SUCCESS); |
| 367 | } | ||
| 368 | |||
| 369 | 374 | static PetscErrorCode EPSSolve_Power(EPS eps) | |
| 370 | { | ||
| 371 | 374 | EPS_POWER *power = (EPS_POWER*)eps->data; | |
| 372 | 374 | PetscInt k,ld; | |
| 373 | 374 | Vec v,y,e,Bx; | |
| 374 | 374 | Mat A; | |
| 375 | 374 | KSP ksp; | |
| 376 | 374 | PetscReal relerr,norm,norm1,rt1,rt2,cs1; | |
| 377 | 374 | PetscScalar theta,rho,delta,sigma,alpha2,beta1,sn1,*T,sign; | |
| 378 | 374 | PetscBool breakdown; | |
| 379 | 374 | KSPConvergedReason reason; | |
| 380 | 374 | SNESConvergedReason snesreason; | |
| 381 | |||
| 382 |
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374 | PetscFunctionBegin; |
| 383 | 374 | e = eps->work[0]; | |
| 384 | 374 | y = eps->work[1]; | |
| 385 |
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374 | if (power->nonlinear) Bx = eps->work[2]; |
| 386 | else Bx = NULL; | ||
| 387 | |||
| 388 |
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374 | if (power->shift_type != EPS_POWER_SHIFT_CONSTANT) PetscCall(STGetKSP(eps->st,&ksp)); |
| 389 |
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374 | if (power->nonlinear) { |
| 390 |
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264 | PetscCall(PetscObjectCompose((PetscObject)power->snes,"eps",(PetscObject)eps)); |
| 391 | /* Compute an initial guess only when users do not provide one */ | ||
| 392 |
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264 | if (power->update && !eps->nini) PetscCall(EPSPowerComputeInitialGuess_Update(eps)); |
| 393 |
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110 | } else PetscCall(DSGetLeadingDimension(eps->ds,&ld)); |
| 394 |
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374 | if (!power->update) PetscCall(EPSGetStartVector(eps,0,NULL)); |
| 395 |
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374 | if (power->nonlinear) { |
| 396 |
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264 | PetscCall(BVGetColumn(eps->V,0,&v)); |
| 397 |
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264 | if (eps->nini) { |
| 398 | /* We scale the initial vector back if the initial vector was provided by users */ | ||
| 399 |
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16 | PetscCall(VecScale(v,power->norm0)); |
| 400 | } | ||
| 401 | /* Do a couple things: | ||
| 402 | * 1) Determine the first non-zero index for Bx and the proc that owns it. This will be | ||
| 403 | * used if performing normalization by the sign of the first nonzero element of Bx. | ||
| 404 | * 2) Scale Bx by its norm. For non-update power iterations, Bx (in code terms) is used | ||
| 405 | * as the RHS argument to SNESSolve. And recall that the formula for generalized | ||
| 406 | * inverse power iterations in this case is: (Ax)_n = (Bx)_{n-1}/|(Bx)_{n-1}| (in | ||
| 407 | * math terms) | ||
| 408 | */ | ||
| 409 |
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264 | PetscCall(EPSPowerUpdateFunctionB(eps,v,Bx)); |
| 410 |
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264 | PetscCall(BVRestoreColumn(eps->V,0,&v)); |
| 411 |
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264 | if (power->formNorm) PetscCall((*power->formNorm)(power->snes,Bx,&norm,power->formNormCtx)); |
| 412 |
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192 | else PetscCall(VecNorm(Bx,NORM_2,&norm)); |
| 413 |
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264 | PetscCall(FirstNonzeroIdx(Bx,&power->idx,&power->p)); |
| 414 |
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264 | PetscCall(Normalize(Bx,norm,power->idx,power->p,power->sign_normalization,NULL)); |
| 415 | } | ||
| 416 | |||
| 417 |
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374 | PetscCall(STGetShift(eps->st,&sigma)); /* original shift */ |
| 418 | 374 | rho = sigma; | |
| 419 | |||
| 420 |
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213437 | while (eps->reason == EPS_CONVERGED_ITERATING) { |
| 421 | 213063 | eps->its++; | |
| 422 | 213063 | k = eps->nconv; | |
| 423 | |||
| 424 | /* y = OP v */ | ||
| 425 |
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213063 | PetscCall(BVGetColumn(eps->V,k,&v)); |
| 426 |
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213063 | if (power->nonlinear) PetscCall(EPSPowerApply_SNES(eps,v,y)); |
| 427 |
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211499 | else PetscCall(STApply(eps->st,v,y)); |
| 428 |
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213063 | PetscCall(BVRestoreColumn(eps->V,k,&v)); |
| 429 | |||
| 430 | /* purge previously converged eigenvectors */ | ||
| 431 |
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213063 | if (PetscUnlikely(power->nonlinear)) { |
| 432 | /* We do not need to call this for Newton eigensolver since eigenvalue is | ||
| 433 | * updated in function evaluations. | ||
| 434 | */ | ||
| 435 |
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1564 | if (!power->update) { |
| 436 |
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1444 | PetscCall(EPSPowerUpdateFunctionB(eps,y,Bx)); |
| 437 |
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1444 | if (power->formNorm) PetscCall((*power->formNorm)(power->snes,Bx,&norm,power->formNormCtx)); |
| 438 |
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900 | else PetscCall(VecNorm(Bx,NORM_2,&norm)); |
| 439 |
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1444 | PetscCall(Normalize(Bx,norm,power->idx,power->p,power->sign_normalization,&sign)); |
| 440 | } | ||
| 441 | } else { | ||
| 442 |
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211499 | PetscCall(DSGetArray(eps->ds,DS_MAT_A,&T)); |
| 443 |
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211499 | PetscCall(BVSetActiveColumns(eps->V,0,k)); |
| 444 |
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211499 | PetscCall(BVOrthogonalizeVec(eps->V,y,T+k*ld,&norm,NULL)); |
| 445 | } | ||
| 446 | |||
| 447 | /* theta = (v,y)_B */ | ||
| 448 |
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213063 | PetscCall(BVSetActiveColumns(eps->V,k,k+1)); |
| 449 |
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213063 | PetscCall(BVDotVec(eps->V,y,&theta)); |
| 450 |
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213063 | if (!power->nonlinear) { |
| 451 | 211499 | T[k+k*ld] = theta; | |
| 452 |
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211499 | PetscCall(DSRestoreArray(eps->ds,DS_MAT_A,&T)); |
| 453 | } | ||
| 454 | |||
| 455 | /* Eigenvalue is already stored in function evaluations. | ||
| 456 | * Assign eigenvalue to theta to make the rest of the code consistent | ||
| 457 | */ | ||
| 458 |
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213063 | if (power->update) theta = eps->eigr[eps->nconv]; |
| 459 |
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212943 | else if (power->nonlinear) theta = 1.0/((PetscScalar)norm*sign); /* Eigenvalue: 1/|Bx| */ |
| 460 | |||
| 461 |
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213063 | if (power->shift_type == EPS_POWER_SHIFT_CONSTANT) { /* direct & inverse iteration */ |
| 462 | |||
| 463 | /* approximate eigenvalue is the Rayleigh quotient */ | ||
| 464 | 212787 | eps->eigr[eps->nconv] = theta; | |
| 465 | |||
| 466 | /** | ||
| 467 | * If the Newton method (update, SNES) is used, we do not compute "relerr" | ||
| 468 | * since SNES determines the convergence. | ||
| 469 | */ | ||
| 470 |
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212787 | if (PetscUnlikely(power->update)) relerr = 0.; |
| 471 | else { | ||
| 472 | /* compute relative error as ||y-theta v||_2/|theta| */ | ||
| 473 |
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212667 | PetscCall(VecCopy(y,e)); |
| 474 |
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212667 | PetscCall(BVGetColumn(eps->V,k,&v)); |
| 475 |
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212667 | PetscCall(VecAXPY(e,power->nonlinear?-1.0:-theta,v)); |
| 476 |
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212667 | PetscCall(BVRestoreColumn(eps->V,k,&v)); |
| 477 |
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212667 | PetscCall(VecNorm(e,NORM_2,&relerr)); |
| 478 |
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212667 | if (PetscUnlikely(power->nonlinear)) relerr *= PetscAbsScalar(theta); |
| 479 | 211223 | else relerr /= PetscAbsScalar(theta); | |
| 480 | } | ||
| 481 | |||
| 482 | } else { /* RQI */ | ||
| 483 | |||
| 484 | /* delta = ||y||_B */ | ||
| 485 | 276 | delta = norm; | |
| 486 | |||
| 487 | /* compute relative error */ | ||
| 488 |
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276 | if (rho == 0.0) relerr = PETSC_MAX_REAL; |
| 489 | 276 | else relerr = 1.0 / (norm*PetscAbsScalar(rho)); | |
| 490 | |||
| 491 | /* approximate eigenvalue is the shift */ | ||
| 492 | 276 | eps->eigr[eps->nconv] = rho; | |
| 493 | |||
| 494 | /* compute new shift */ | ||
| 495 |
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276 | if (relerr<eps->tol) { |
| 496 | 64 | rho = sigma; /* if converged, restore original shift */ | |
| 497 |
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64 | PetscCall(STSetShift(eps->st,rho)); |
| 498 | } else { | ||
| 499 | 212 | rho = rho + PetscConj(theta)/(delta*delta); /* Rayleigh quotient R(v) */ | |
| 500 |
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212 | if (power->shift_type == EPS_POWER_SHIFT_WILKINSON) { |
| 501 | /* beta1 is the norm of the residual associated with R(v) */ | ||
| 502 |
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76 | PetscCall(BVGetColumn(eps->V,k,&v)); |
| 503 |
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76 | PetscCall(VecAXPY(v,-PetscConj(theta)/(delta*delta),y)); |
| 504 |
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76 | PetscCall(BVRestoreColumn(eps->V,k,&v)); |
| 505 |
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76 | PetscCall(BVScaleColumn(eps->V,k,1.0/delta)); |
| 506 |
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76 | PetscCall(BVNormColumn(eps->V,k,NORM_2,&norm1)); |
| 507 | 76 | beta1 = norm1; | |
| 508 | |||
| 509 | /* alpha2 = (e'*A*e)/(beta1*beta1), where e is the residual */ | ||
| 510 |
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76 | PetscCall(STGetMatrix(eps->st,0,&A)); |
| 511 |
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76 | PetscCall(BVGetColumn(eps->V,k,&v)); |
| 512 |
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76 | PetscCall(MatMult(A,v,e)); |
| 513 |
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76 | PetscCall(VecDot(v,e,&alpha2)); |
| 514 |
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76 | PetscCall(BVRestoreColumn(eps->V,k,&v)); |
| 515 | 76 | alpha2 = alpha2 / (beta1 * beta1); | |
| 516 | |||
| 517 | /* choose the eigenvalue of [rho beta1; beta1 alpha2] closest to rho */ | ||
| 518 |
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76 | PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF)); |
| 519 |
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76 | PetscCallBLAS("LAPACKlaev2",LAPACKlaev2_(&rho,&beta1,&alpha2,&rt1,&rt2,&cs1,&sn1)); |
| 520 |
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76 | PetscCall(PetscFPTrapPop()); |
| 521 |
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76 | if (PetscAbsScalar(rt1-rho) < PetscAbsScalar(rt2-rho)) rho = rt1; |
| 522 | 32 | else rho = rt2; | |
| 523 | } | ||
| 524 | /* update operator according to new shift */ | ||
| 525 |
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212 | PetscCall(KSPSetErrorIfNotConverged(ksp,PETSC_FALSE)); |
| 526 |
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212 | PetscCall(STSetShift(eps->st,rho)); |
| 527 |
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212 | PetscCall(KSPGetConvergedReason(ksp,&reason)); |
| 528 |
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212 | if (reason) { |
| 529 |
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1 | PetscCall(PetscInfo(eps,"Factorization failed, repeat with a perturbed shift\n")); |
| 530 | 1 | rho *= 1+10*PETSC_MACHINE_EPSILON; | |
| 531 |
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1 | PetscCall(STSetShift(eps->st,rho)); |
| 532 |
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1 | PetscCall(KSPGetConvergedReason(ksp,&reason)); |
| 533 |
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1 | PetscCheck(!reason,PetscObjectComm((PetscObject)ksp),PETSC_ERR_CONV_FAILED,"Second factorization failed"); |
| 534 | } | ||
| 535 |
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212 | PetscCall(KSPSetErrorIfNotConverged(ksp,PETSC_TRUE)); |
| 536 | } | ||
| 537 | } | ||
| 538 | 213063 | eps->errest[eps->nconv] = relerr; | |
| 539 | |||
| 540 | /* normalize */ | ||
| 541 |
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|
213063 | if (!power->nonlinear) PetscCall(Normalize(y,norm,power->idx,power->p,power->sign_normalization,NULL)); |
| 542 |
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213063 | PetscCall(BVInsertVec(eps->V,k,y)); |
| 543 | |||
| 544 |
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213063 | if (PetscUnlikely(power->update)) { |
| 545 |
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|
120 | PetscCall(SNESGetConvergedReason(power->snes,&snesreason)); |
| 546 | /* For Newton eigensolver, we are ready to return once SNES converged. */ | ||
| 547 |
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120 | if (snesreason>0) eps->nconv = 1; |
| 548 |
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|
212943 | } else if (PetscUnlikely(relerr<eps->tol)) { /* accept eigenpair */ |
| 549 | 394 | eps->nconv = eps->nconv + 1; | |
| 550 |
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394 | if (eps->nconv<eps->nev) { |
| 551 |
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244 | PetscCall(EPSGetStartVector(eps,eps->nconv,&breakdown)); |
| 552 |
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244 | if (breakdown) { |
| 553 | ✗ | eps->reason = EPS_DIVERGED_BREAKDOWN; | |
| 554 | ✗ | PetscCall(PetscInfo(eps,"Unable to generate more start vectors\n")); | |
| 555 | break; | ||
| 556 | } | ||
| 557 | } | ||
| 558 | } | ||
| 559 | /* For Newton eigensolver, monitor will be called from SNES monitor */ | ||
| 560 |
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|
213063 | if (!power->update) PetscCall(EPSMonitor(eps,eps->its,eps->nconv,eps->eigr,eps->eigi,eps->errest,PetscMin(eps->nconv+1,eps->nev))); |
| 561 |
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213063 | PetscCall((*eps->stopping)(eps,eps->its,eps->max_it,eps->nconv,eps->nev,&eps->reason,eps->stoppingctx)); |
| 562 | |||
| 563 | /** | ||
| 564 | * When a customized stopping test is used, and reason can be set to be converged (EPS_CONVERGED_USER). | ||
| 565 | * In this case, we need to increase eps->nconv to "1" so users can retrieve the solution. | ||
| 566 | */ | ||
| 567 |
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213063 | if (PetscUnlikely(power->nonlinear && eps->reason>0)) eps->nconv = 1; |
| 568 | } | ||
| 569 | |||
| 570 |
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|
374 | if (power->nonlinear) PetscCall(PetscObjectCompose((PetscObject)power->snes,"eps",NULL)); |
| 571 | else { | ||
| 572 |
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110 | PetscCall(DSSetDimensions(eps->ds,eps->nconv,0,0)); |
| 573 |
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110 | PetscCall(DSSetState(eps->ds,DS_STATE_RAW)); |
| 574 | } | ||
| 575 |
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|
94 | PetscFunctionReturn(PETSC_SUCCESS); |
| 576 | } | ||
| 577 | |||
| 578 | 32 | static PetscErrorCode EPSSolve_TS_Power(EPS eps) | |
| 579 | { | ||
| 580 | 32 | EPS_POWER *power = (EPS_POWER*)eps->data; | |
| 581 | 32 | PetscInt k,ld; | |
| 582 | 32 | Vec v,w,y,e,z; | |
| 583 | 32 | KSP ksp; | |
| 584 | 32 | PetscReal relerr=1.0,relerrl,delta; | |
| 585 | 32 | PetscScalar theta,rho,alpha,sigma; | |
| 586 | 32 | PetscBool breakdown,breakdownl; | |
| 587 | 32 | KSPConvergedReason reason; | |
| 588 | |||
| 589 |
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32 | PetscFunctionBegin; |
| 590 | 32 | e = eps->work[0]; | |
| 591 | 32 | v = eps->work[1]; | |
| 592 | 32 | w = eps->work[2]; | |
| 593 | |||
| 594 |
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32 | if (power->shift_type != EPS_POWER_SHIFT_CONSTANT) PetscCall(STGetKSP(eps->st,&ksp)); |
| 595 |
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32 | PetscCall(DSGetLeadingDimension(eps->ds,&ld)); |
| 596 |
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32 | PetscCall(EPSGetStartVector(eps,0,NULL)); |
| 597 |
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32 | PetscCall(EPSGetLeftStartVector(eps,0,NULL)); |
| 598 |
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32 | PetscCall(BVBiorthonormalizeColumn(eps->V,eps->W,0,NULL)); |
| 599 |
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32 | PetscCall(BVCopyVec(eps->V,0,v)); |
| 600 |
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32 | PetscCall(BVCopyVec(eps->W,0,w)); |
| 601 |
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32 | PetscCall(STGetShift(eps->st,&sigma)); /* original shift */ |
| 602 | 32 | rho = sigma; | |
| 603 | |||
| 604 | 32 | while (eps->reason == EPS_CONVERGED_ITERATING) { | |
| 605 | 3330 | eps->its++; | |
| 606 | 3330 | k = eps->nconv; | |
| 607 | |||
| 608 | /* y = OP v, z = OP' w */ | ||
| 609 |
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3330 | PetscCall(BVGetColumn(eps->V,k,&y)); |
| 610 |
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3330 | PetscCall(STApply(eps->st,v,y)); |
| 611 |
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3330 | PetscCall(BVRestoreColumn(eps->V,k,&y)); |
| 612 |
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3330 | PetscCall(BVGetColumn(eps->W,k,&z)); |
| 613 |
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3330 | PetscCall(STApplyHermitianTranspose(eps->st,w,z)); |
| 614 |
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3330 | PetscCall(BVRestoreColumn(eps->W,k,&z)); |
| 615 | |||
| 616 | /* purge previously converged eigenvectors */ | ||
| 617 |
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3330 | PetscCall(BVBiorthogonalizeColumn(eps->V,eps->W,k)); |
| 618 | |||
| 619 | /* theta = (w,y)_B */ | ||
| 620 |
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3330 | PetscCall(BVSetActiveColumns(eps->V,k,k+1)); |
| 621 |
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3330 | PetscCall(BVDotVec(eps->V,w,&theta)); |
| 622 | 3330 | theta = PetscConj(theta); | |
| 623 | |||
| 624 |
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|
3330 | if (power->shift_type == EPS_POWER_SHIFT_CONSTANT) { /* direct & inverse iteration */ |
| 625 | |||
| 626 | /* approximate eigenvalue is the Rayleigh quotient */ | ||
| 627 | 3190 | eps->eigr[eps->nconv] = theta; | |
| 628 | |||
| 629 | /* compute relative errors as ||y-theta v||_2/|theta| and ||z-conj(theta) w||_2/|theta|*/ | ||
| 630 |
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3190 | PetscCall(BVCopyVec(eps->V,k,e)); |
| 631 |
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3190 | PetscCall(VecAXPY(e,-theta,v)); |
| 632 |
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3190 | PetscCall(VecNorm(e,NORM_2,&relerr)); |
| 633 |
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3190 | PetscCall(BVCopyVec(eps->W,k,e)); |
| 634 |
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3190 | PetscCall(VecAXPY(e,-PetscConj(theta),w)); |
| 635 |
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3190 | PetscCall(VecNorm(e,NORM_2,&relerrl)); |
| 636 |
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|
6166 | relerr = PetscMax(relerr,relerrl)/PetscAbsScalar(theta); |
| 637 | } | ||
| 638 | |||
| 639 | /* normalize */ | ||
| 640 |
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3330 | PetscCall(BVSetActiveColumns(eps->V,k,k+1)); |
| 641 |
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3330 | PetscCall(BVGetColumn(eps->W,k,&z)); |
| 642 |
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3330 | PetscCall(BVDotVec(eps->V,z,&alpha)); |
| 643 |
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3330 | PetscCall(BVRestoreColumn(eps->W,k,&z)); |
| 644 | 3330 | delta = PetscSqrtReal(PetscAbsScalar(alpha)); | |
| 645 |
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3330 | PetscCheck(delta!=0.0,PetscObjectComm((PetscObject)eps),PETSC_ERR_CONV_FAILED,"Breakdown in two-sided Power/RQI"); |
| 646 |
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3330 | PetscCall(BVScaleColumn(eps->V,k,1.0/PetscConj(alpha/delta))); |
| 647 |
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3330 | PetscCall(BVScaleColumn(eps->W,k,1.0/delta)); |
| 648 |
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3330 | PetscCall(BVCopyVec(eps->V,k,v)); |
| 649 |
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3330 | PetscCall(BVCopyVec(eps->W,k,w)); |
| 650 | |||
| 651 |
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3330 | if (power->shift_type == EPS_POWER_SHIFT_RAYLEIGH) { /* RQI */ |
| 652 | |||
| 653 | /* compute relative error */ | ||
| 654 |
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|
140 | if (rho == 0.0) relerr = PETSC_MAX_REAL; |
| 655 | 140 | else relerr = 1.0 / PetscAbsScalar(delta*rho); | |
| 656 | |||
| 657 | /* approximate eigenvalue is the shift */ | ||
| 658 | 140 | eps->eigr[eps->nconv] = rho; | |
| 659 | |||
| 660 | /* compute new shift */ | ||
| 661 |
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140 | if (relerr<eps->tol) { |
| 662 | 28 | rho = sigma; /* if converged, restore original shift */ | |
| 663 |
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|
28 | PetscCall(STSetShift(eps->st,rho)); |
| 664 | } else { | ||
| 665 | 112 | rho = rho + PetscConj(theta)/(delta*delta); /* Rayleigh quotient R(v) */ | |
| 666 | /* update operator according to new shift */ | ||
| 667 |
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112 | PetscCall(KSPSetErrorIfNotConverged(ksp,PETSC_FALSE)); |
| 668 |
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112 | PetscCall(STSetShift(eps->st,rho)); |
| 669 |
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|
112 | PetscCall(KSPGetConvergedReason(ksp,&reason)); |
| 670 |
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112 | if (reason) { |
| 671 |
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|
4 | PetscCall(PetscInfo(eps,"Factorization failed, repeat with a perturbed shift\n")); |
| 672 | 4 | rho *= 1+10*PETSC_MACHINE_EPSILON; | |
| 673 |
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4 | PetscCall(STSetShift(eps->st,rho)); |
| 674 |
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|
4 | PetscCall(KSPGetConvergedReason(ksp,&reason)); |
| 675 |
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4 | PetscCheck(!reason,PetscObjectComm((PetscObject)ksp),PETSC_ERR_CONV_FAILED,"Second factorization failed"); |
| 676 | } | ||
| 677 |
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|
112 | PetscCall(KSPSetErrorIfNotConverged(ksp,PETSC_TRUE)); |
| 678 | } | ||
| 679 | } | ||
| 680 | 3330 | eps->errest[eps->nconv] = relerr; | |
| 681 | |||
| 682 | /* if relerr<tol, accept eigenpair */ | ||
| 683 |
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3330 | if (relerr<eps->tol) { |
| 684 | 76 | eps->nconv = eps->nconv + 1; | |
| 685 |
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76 | if (eps->nconv<eps->nev) { |
| 686 |
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|
44 | PetscCall(EPSGetStartVector(eps,eps->nconv,&breakdown)); |
| 687 |
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44 | PetscCall(EPSGetLeftStartVector(eps,eps->nconv,&breakdownl)); |
| 688 |
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|
44 | if (breakdown || breakdownl) { |
| 689 | ✗ | eps->reason = EPS_DIVERGED_BREAKDOWN; | |
| 690 | ✗ | PetscCall(PetscInfo(eps,"Unable to generate more start vectors\n")); | |
| 691 | break; | ||
| 692 | } | ||
| 693 |
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44 | PetscCall(BVBiorthonormalizeColumn(eps->V,eps->W,eps->nconv,NULL)); |
| 694 | } | ||
| 695 | } | ||
| 696 |
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|
3330 | PetscCall(EPSMonitor(eps,eps->its,eps->nconv,eps->eigr,eps->eigi,eps->errest,PetscMin(eps->nconv+1,eps->nev))); |
| 697 |
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|
3362 | PetscCall((*eps->stopping)(eps,eps->its,eps->max_it,eps->nconv,eps->nev,&eps->reason,eps->stoppingctx)); |
| 698 | } | ||
| 699 | |||
| 700 |
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|
32 | PetscCall(DSSetDimensions(eps->ds,eps->nconv,0,0)); |
| 701 |
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32 | PetscCall(DSSetState(eps->ds,DS_STATE_RAW)); |
| 702 |
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|
8 | PetscFunctionReturn(PETSC_SUCCESS); |
| 703 | } | ||
| 704 | |||
| 705 | 216393 | static PetscErrorCode EPSStopping_Power(EPS eps,PetscInt its,PetscInt max_it,PetscInt nconv,PetscInt nev,EPSConvergedReason *reason,void *ctx) | |
| 706 | { | ||
| 707 | 216393 | EPS_POWER *power = (EPS_POWER*)eps->data; | |
| 708 | 216393 | SNESConvergedReason snesreason; | |
| 709 | |||
| 710 |
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216393 | PetscFunctionBegin; |
| 711 |
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216393 | if (PetscUnlikely(power->update)) { |
| 712 |
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120 | PetscCall(SNESGetConvergedReason(power->snes,&snesreason)); |
| 713 |
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120 | if (snesreason < 0) { |
| 714 | ✗ | *reason = EPS_DIVERGED_BREAKDOWN; | |
| 715 | ✗ | PetscFunctionReturn(PETSC_SUCCESS); | |
| 716 | } | ||
| 717 | } | ||
| 718 |
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216393 | PetscCall(EPSStoppingBasic(eps,its,max_it,nconv,nev,reason,ctx)); |
| 719 |
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|
54154 | PetscFunctionReturn(PETSC_SUCCESS); |
| 720 | } | ||
| 721 | |||
| 722 | 142 | static PetscErrorCode EPSBackTransform_Power(EPS eps) | |
| 723 | { | ||
| 724 | 142 | EPS_POWER *power = (EPS_POWER*)eps->data; | |
| 725 | |||
| 726 |
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142 | PetscFunctionBegin; |
| 727 |
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142 | if (power->nonlinear) eps->eigr[0] = 1.0/eps->eigr[0]; |
| 728 |
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142 | else if (power->shift_type == EPS_POWER_SHIFT_CONSTANT) PetscCall(EPSBackTransform_Default(eps)); |
| 729 |
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36 | PetscFunctionReturn(PETSC_SUCCESS); |
| 730 | } | ||
| 731 | |||
| 732 | 374 | static PetscErrorCode EPSSetFromOptions_Power(EPS eps,PetscOptionItems PetscOptionsObject) | |
| 733 | { | ||
| 734 | 374 | EPS_POWER *power = (EPS_POWER*)eps->data; | |
| 735 | 374 | PetscBool flg,val; | |
| 736 | 374 | EPSPowerShiftType shift; | |
| 737 | |||
| 738 |
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374 | PetscFunctionBegin; |
| 739 |
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374 | PetscOptionsHeadBegin(PetscOptionsObject,"EPS Power Options"); |
| 740 | |||
| 741 |
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374 | PetscCall(PetscOptionsEnum("-eps_power_shift_type","Shift type","EPSPowerSetShiftType",EPSPowerShiftTypes,(PetscEnum)power->shift_type,(PetscEnum*)&shift,&flg)); |
| 742 |
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374 | if (flg) PetscCall(EPSPowerSetShiftType(eps,shift)); |
| 743 | |||
| 744 |
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374 | PetscCall(PetscOptionsBool("-eps_power_nonlinear","Use nonlinear inverse iteration","EPSPowerSetNonlinear",power->nonlinear,&val,&flg)); |
| 745 |
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374 | if (flg) PetscCall(EPSPowerSetNonlinear(eps,val)); |
| 746 | |||
| 747 |
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374 | PetscCall(PetscOptionsBool("-eps_power_update","Update residual monolithically","EPSPowerSetUpdate",power->update,&val,&flg)); |
| 748 |
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374 | if (flg) PetscCall(EPSPowerSetUpdate(eps,val)); |
| 749 | |||
| 750 |
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374 | PetscCall(PetscOptionsBool("-eps_power_sign_normalization","Normalize Bx with sign of first nonzero entry","EPSPowerSetSignNormalization",power->sign_normalization,&power->sign_normalization,&flg)); |
| 751 | |||
| 752 |
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374 | PetscOptionsHeadEnd(); |
| 753 |
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94 | PetscFunctionReturn(PETSC_SUCCESS); |
| 754 | } | ||
| 755 | |||
| 756 | 64 | static PetscErrorCode EPSPowerSetShiftType_Power(EPS eps,EPSPowerShiftType shift) | |
| 757 | { | ||
| 758 | 64 | EPS_POWER *power = (EPS_POWER*)eps->data; | |
| 759 | |||
| 760 |
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64 | PetscFunctionBegin; |
| 761 |
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64 | switch (shift) { |
| 762 | 64 | case EPS_POWER_SHIFT_CONSTANT: | |
| 763 | case EPS_POWER_SHIFT_RAYLEIGH: | ||
| 764 | case EPS_POWER_SHIFT_WILKINSON: | ||
| 765 |
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64 | if (power->shift_type != shift) { |
| 766 | 40 | power->shift_type = shift; | |
| 767 | 40 | eps->state = EPS_STATE_INITIAL; | |
| 768 | } | ||
| 769 | 16 | break; | |
| 770 | ✗ | default: | |
| 771 | ✗ | SETERRQ(PetscObjectComm((PetscObject)eps),PETSC_ERR_ARG_OUTOFRANGE,"Invalid shift type"); | |
| 772 | } | ||
| 773 |
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16 | PetscFunctionReturn(PETSC_SUCCESS); |
| 774 | } | ||
| 775 | |||
| 776 | /*@ | ||
| 777 | EPSPowerSetShiftType - Sets the type of shifts used during the power | ||
| 778 | iteration. This can be used to emulate the Rayleigh Quotient Iteration | ||
| 779 | (RQI) method. | ||
| 780 | |||
| 781 | Logically Collective | ||
| 782 | |||
| 783 | Input Parameters: | ||
| 784 | + eps - the linear eigensolver context | ||
| 785 | - shift - the type of shift, see `EPSPowerShiftType` for possible values | ||
| 786 | |||
| 787 | Options Database Key: | ||
| 788 | . -eps_power_shift_type \<shift\> - sets the shift type, either `constant`, `rayleigh` or `wilkinson` | ||
| 789 | |||
| 790 | Notes: | ||
| 791 | By default, shifts are constant (`EPS_POWER_SHIFT_CONSTANT`) and the iteration | ||
| 792 | is the simple power method (or inverse iteration if a shift-and-invert | ||
| 793 | transformation is being used). | ||
| 794 | |||
| 795 | A variable shift can be specified (`EPS_POWER_SHIFT_RAYLEIGH` or | ||
| 796 | `EPS_POWER_SHIFT_WILKINSON`). In this case, the iteration behaves rather like | ||
| 797 | a cubic converging method such as RQI. | ||
| 798 | |||
| 799 | Details of the three variants can be found in {cite:p}`Her05`. | ||
| 800 | |||
| 801 | Level: advanced | ||
| 802 | |||
| 803 | .seealso: [](ch:eps), `EPSPOWER`, `EPSPowerGetShiftType()`, `STSetShift()`, `EPSPowerShiftType` | ||
| 804 | @*/ | ||
| 805 | 64 | PetscErrorCode EPSPowerSetShiftType(EPS eps,EPSPowerShiftType shift) | |
| 806 | { | ||
| 807 |
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64 | PetscFunctionBegin; |
| 808 |
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64 | PetscValidHeaderSpecific(eps,EPS_CLASSID,1); |
| 809 |
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64 | PetscValidLogicalCollectiveEnum(eps,shift,2); |
| 810 |
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64 | PetscTryMethod(eps,"EPSPowerSetShiftType_C",(EPS,EPSPowerShiftType),(eps,shift)); |
| 811 |
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64 | PetscFunctionReturn(PETSC_SUCCESS); |
| 812 | } | ||
| 813 | |||
| 814 | 8 | static PetscErrorCode EPSPowerGetShiftType_Power(EPS eps,EPSPowerShiftType *shift) | |
| 815 | { | ||
| 816 | 8 | EPS_POWER *power = (EPS_POWER*)eps->data; | |
| 817 | |||
| 818 |
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8 | PetscFunctionBegin; |
| 819 | 8 | *shift = power->shift_type; | |
| 820 |
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8 | PetscFunctionReturn(PETSC_SUCCESS); |
| 821 | } | ||
| 822 | |||
| 823 | /*@ | ||
| 824 | EPSPowerGetShiftType - Gets the type of shifts used during the power | ||
| 825 | iteration. | ||
| 826 | |||
| 827 | Not Collective | ||
| 828 | |||
| 829 | Input Parameter: | ||
| 830 | . eps - the linear eigensolver context | ||
| 831 | |||
| 832 | Output Parameter: | ||
| 833 | . shift - the type of shift | ||
| 834 | |||
| 835 | Level: advanced | ||
| 836 | |||
| 837 | .seealso: [](ch:eps), `EPSPOWER`, `EPSPowerSetShiftType()`, `EPSPowerShiftType` | ||
| 838 | @*/ | ||
| 839 | 8 | PetscErrorCode EPSPowerGetShiftType(EPS eps,EPSPowerShiftType *shift) | |
| 840 | { | ||
| 841 |
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8 | PetscFunctionBegin; |
| 842 |
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8 | PetscValidHeaderSpecific(eps,EPS_CLASSID,1); |
| 843 |
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8 | PetscAssertPointer(shift,2); |
| 844 |
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8 | PetscUseMethod(eps,"EPSPowerGetShiftType_C",(EPS,EPSPowerShiftType*),(eps,shift)); |
| 845 |
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8 | PetscFunctionReturn(PETSC_SUCCESS); |
| 846 | } | ||
| 847 | |||
| 848 | 248 | static PetscErrorCode EPSPowerSetNonlinear_Power(EPS eps,PetscBool nonlinear) | |
| 849 | { | ||
| 850 | 248 | EPS_POWER *power = (EPS_POWER*)eps->data; | |
| 851 | |||
| 852 |
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248 | PetscFunctionBegin; |
| 853 |
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248 | if (power->nonlinear != nonlinear) { |
| 854 | 248 | power->nonlinear = nonlinear; | |
| 855 | 248 | eps->useds = PetscNot(nonlinear); | |
| 856 |
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248 | eps->ops->setupsort = nonlinear? NULL: EPSSetUpSort_Default; |
| 857 | 248 | eps->state = EPS_STATE_INITIAL; | |
| 858 | } | ||
| 859 |
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248 | PetscFunctionReturn(PETSC_SUCCESS); |
| 860 | } | ||
| 861 | |||
| 862 | /*@ | ||
| 863 | EPSPowerSetNonlinear - Sets a flag to indicate that the problem is nonlinear. | ||
| 864 | |||
| 865 | Logically Collective | ||
| 866 | |||
| 867 | Input Parameters: | ||
| 868 | + eps - the linear eigensolver context | ||
| 869 | - nonlinear - whether the problem is nonlinear or not | ||
| 870 | |||
| 871 | Options Database Key: | ||
| 872 | . -eps_power_nonlinear - sets the nonlinear flag | ||
| 873 | |||
| 874 | Notes: | ||
| 875 | If this flag is set, the solver assumes that the problem is nonlinear, | ||
| 876 | that is, the operators that define the eigenproblem are not constant | ||
| 877 | matrices, but depend on the eigenvector, $A(x)x=\lambda B(x)x$. This is | ||
| 878 | different from the case of nonlinearity with respect to the eigenvalue | ||
| 879 | (use the `NEP` solver class for this kind of problems). | ||
| 880 | |||
| 881 | The way in which nonlinear operators are specified is very similar to | ||
| 882 | the case of PETSc's `SNES` solver. The difference is that the callback | ||
| 883 | functions are provided via composed functions `formFunction` and | ||
| 884 | `formJacobian` in each of the matrix objects passed as arguments of | ||
| 885 | `EPSSetOperators()`. The application context required for these functions | ||
| 886 | can be attached via a composed `PetscContainer`. | ||
| 887 | |||
| 888 | Level: advanced | ||
| 889 | |||
| 890 | .seealso: [](ch:eps), `EPSPOWER`, `EPSPowerGetNonlinear()`, `EPSSetOperators()` | ||
| 891 | @*/ | ||
| 892 | 248 | PetscErrorCode EPSPowerSetNonlinear(EPS eps,PetscBool nonlinear) | |
| 893 | { | ||
| 894 |
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248 | PetscFunctionBegin; |
| 895 |
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248 | PetscValidHeaderSpecific(eps,EPS_CLASSID,1); |
| 896 |
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248 | PetscValidLogicalCollectiveBool(eps,nonlinear,2); |
| 897 |
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248 | PetscTryMethod(eps,"EPSPowerSetNonlinear_C",(EPS,PetscBool),(eps,nonlinear)); |
| 898 |
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248 | PetscFunctionReturn(PETSC_SUCCESS); |
| 899 | } | ||
| 900 | |||
| 901 | 144 | static PetscErrorCode EPSPowerGetNonlinear_Power(EPS eps,PetscBool *nonlinear) | |
| 902 | { | ||
| 903 | 144 | EPS_POWER *power = (EPS_POWER*)eps->data; | |
| 904 | |||
| 905 |
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144 | PetscFunctionBegin; |
| 906 | 144 | *nonlinear = power->nonlinear; | |
| 907 |
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144 | PetscFunctionReturn(PETSC_SUCCESS); |
| 908 | } | ||
| 909 | |||
| 910 | /*@ | ||
| 911 | EPSPowerGetNonlinear - Returns a flag indicating if the problem is nonlinear. | ||
| 912 | |||
| 913 | Not Collective | ||
| 914 | |||
| 915 | Input Parameter: | ||
| 916 | . eps - the linear eigensolver context | ||
| 917 | |||
| 918 | Output Parameter: | ||
| 919 | . nonlinear - the nonlinear flag | ||
| 920 | |||
| 921 | Level: advanced | ||
| 922 | |||
| 923 | .seealso: [](ch:eps), `EPSPOWER`, `EPSPowerSetUpdate()`, `EPSPowerSetNonlinear()` | ||
| 924 | @*/ | ||
| 925 | 144 | PetscErrorCode EPSPowerGetNonlinear(EPS eps,PetscBool *nonlinear) | |
| 926 | { | ||
| 927 |
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144 | PetscFunctionBegin; |
| 928 |
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144 | PetscValidHeaderSpecific(eps,EPS_CLASSID,1); |
| 929 |
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144 | PetscAssertPointer(nonlinear,2); |
| 930 |
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144 | PetscUseMethod(eps,"EPSPowerGetNonlinear_C",(EPS,PetscBool*),(eps,nonlinear)); |
| 931 |
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144 | PetscFunctionReturn(PETSC_SUCCESS); |
| 932 | } | ||
| 933 | |||
| 934 | 104 | static PetscErrorCode EPSPowerSetUpdate_Power(EPS eps,PetscBool update) | |
| 935 | { | ||
| 936 | 104 | EPS_POWER *power = (EPS_POWER*)eps->data; | |
| 937 | |||
| 938 |
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104 | PetscFunctionBegin; |
| 939 |
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104 | PetscCheck(power->nonlinear,PetscObjectComm((PetscObject)eps),PETSC_ERR_ARG_INCOMP,"This option does not make sense for linear problems"); |
| 940 | 104 | power->update = update; | |
| 941 | 104 | eps->state = EPS_STATE_INITIAL; | |
| 942 |
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104 | PetscFunctionReturn(PETSC_SUCCESS); |
| 943 | } | ||
| 944 | |||
| 945 | /*@ | ||
| 946 | EPSPowerSetUpdate - Sets a flag to indicate that the residual is updated monolithically | ||
| 947 | for nonlinear problems. This potentially has a better convergence. | ||
| 948 | |||
| 949 | Logically Collective | ||
| 950 | |||
| 951 | Input Parameters: | ||
| 952 | + eps - the linear eigensolver context | ||
| 953 | - update - whether the residual is updated monolithically or not | ||
| 954 | |||
| 955 | Options Database Key: | ||
| 956 | . -eps_power_update - sets the update flag | ||
| 957 | |||
| 958 | Note: | ||
| 959 | This flag is relevant only in nonlinear problems, see `EPSPowerSetNonlinear()`. | ||
| 960 | |||
| 961 | Level: advanced | ||
| 962 | |||
| 963 | .seealso: [](ch:eps), `EPSPOWER`, `EPSPowerGetUpdate()`, `EPSPowerGetNonlinear()`, `EPSSetOperators()` | ||
| 964 | @*/ | ||
| 965 | 104 | PetscErrorCode EPSPowerSetUpdate(EPS eps,PetscBool update) | |
| 966 | { | ||
| 967 |
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104 | PetscFunctionBegin; |
| 968 |
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104 | PetscValidHeaderSpecific(eps,EPS_CLASSID,1); |
| 969 |
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104 | PetscValidLogicalCollectiveBool(eps,update,2); |
| 970 |
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104 | PetscTryMethod(eps,"EPSPowerSetUpdate_C",(EPS,PetscBool),(eps,update)); |
| 971 |
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104 | PetscFunctionReturn(PETSC_SUCCESS); |
| 972 | } | ||
| 973 | |||
| 974 | 144 | static PetscErrorCode EPSPowerGetUpdate_Power(EPS eps,PetscBool *update) | |
| 975 | { | ||
| 976 | 144 | EPS_POWER *power = (EPS_POWER*)eps->data; | |
| 977 | |||
| 978 |
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144 | PetscFunctionBegin; |
| 979 | 144 | *update = power->update; | |
| 980 |
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144 | PetscFunctionReturn(PETSC_SUCCESS); |
| 981 | } | ||
| 982 | |||
| 983 | /*@ | ||
| 984 | EPSPowerGetUpdate - Returns a flag indicating if the residual is updated monolithically | ||
| 985 | for nonlinear problems. | ||
| 986 | |||
| 987 | Not Collective | ||
| 988 | |||
| 989 | Input Parameter: | ||
| 990 | . eps - the linear eigensolver context | ||
| 991 | |||
| 992 | Output Parameter: | ||
| 993 | . update - the update flag | ||
| 994 | |||
| 995 | Level: advanced | ||
| 996 | |||
| 997 | .seealso: [](ch:eps), `EPSPOWER`, `EPSPowerSetUpdate()`, `EPSPowerSetNonlinear()` | ||
| 998 | @*/ | ||
| 999 | 144 | PetscErrorCode EPSPowerGetUpdate(EPS eps,PetscBool *update) | |
| 1000 | { | ||
| 1001 |
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144 | PetscFunctionBegin; |
| 1002 |
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144 | PetscValidHeaderSpecific(eps,EPS_CLASSID,1); |
| 1003 |
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144 | PetscAssertPointer(update,2); |
| 1004 |
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144 | PetscUseMethod(eps,"EPSPowerGetUpdate_C",(EPS,PetscBool*),(eps,update)); |
| 1005 |
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144 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1006 | } | ||
| 1007 | |||
| 1008 | 248 | static PetscErrorCode EPSPowerSetSignNormalization_Power(EPS eps,PetscBool sign_normalization) | |
| 1009 | { | ||
| 1010 | 248 | EPS_POWER *power = (EPS_POWER*)eps->data; | |
| 1011 | |||
| 1012 |
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248 | PetscFunctionBegin; |
| 1013 | 248 | power->sign_normalization = sign_normalization; | |
| 1014 |
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248 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1015 | } | ||
| 1016 | |||
| 1017 | /*@ | ||
| 1018 | EPSPowerSetSignNormalization - Sets a flag to indicate whether the $Bx$ vector | ||
| 1019 | should be normalized by the sign of the first non-zero element in the vector. | ||
| 1020 | E.g., if this is true, the post-normalization value of the first non-zero element | ||
| 1021 | in the vector is guaranteed to be positive. | ||
| 1022 | |||
| 1023 | Logically Collective | ||
| 1024 | |||
| 1025 | Input Parameters: | ||
| 1026 | + eps - the linear eigensolver context | ||
| 1027 | - sign_normalization - whether $Bx$ should be multiplied by the sign of the first non-zero | ||
| 1028 | element when performing normalization steps | ||
| 1029 | |||
| 1030 | Options Database Key: | ||
| 1031 | . -eps_power_sign_normalization - sets the sign normalization flag | ||
| 1032 | |||
| 1033 | Note: | ||
| 1034 | This flag is relevant only in nonlinear problems, see `EPSPowerSetNonlinear()`. | ||
| 1035 | |||
| 1036 | Level: advanced | ||
| 1037 | |||
| 1038 | .seealso: [](ch:eps), `EPSPOWER`, `EPSPowerSetNonlinear()`, `EPSPowerGetSignNormalization()` | ||
| 1039 | @*/ | ||
| 1040 | 248 | PetscErrorCode EPSPowerSetSignNormalization(EPS eps,PetscBool sign_normalization) | |
| 1041 | { | ||
| 1042 |
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248 | PetscFunctionBegin; |
| 1043 |
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248 | PetscValidHeaderSpecific(eps,EPS_CLASSID,1); |
| 1044 |
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248 | PetscValidLogicalCollectiveBool(eps,sign_normalization,2); |
| 1045 |
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248 | PetscTryMethod(eps,"EPSPowerSetSignNormalization_C",(EPS,PetscBool),(eps,sign_normalization)); |
| 1046 |
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248 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1047 | } | ||
| 1048 | |||
| 1049 | 104 | static PetscErrorCode EPSPowerGetSignNormalization_Power(EPS eps,PetscBool *sign_normalization) | |
| 1050 | { | ||
| 1051 | 104 | EPS_POWER *power = (EPS_POWER*)eps->data; | |
| 1052 | |||
| 1053 |
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104 | PetscFunctionBegin; |
| 1054 | 104 | *sign_normalization = power->sign_normalization; | |
| 1055 |
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104 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1056 | } | ||
| 1057 | |||
| 1058 | /*@ | ||
| 1059 | EPSPowerGetSignNormalization - Returns a flag indicating whether the $Bx$ vector | ||
| 1060 | is normalized by the sign of the first non-zero element in the vector. E.g., | ||
| 1061 | if this is true, the post-normalization value of the first non-zero element in | ||
| 1062 | the vector is guaranteed to be positive. | ||
| 1063 | |||
| 1064 | Not Collective | ||
| 1065 | |||
| 1066 | Input Parameter: | ||
| 1067 | . eps - the linear eigensolver context | ||
| 1068 | |||
| 1069 | Output Parameter: | ||
| 1070 | . sign_normalization - the sign normalization flag | ||
| 1071 | |||
| 1072 | Level: advanced | ||
| 1073 | |||
| 1074 | .seealso: [](ch:eps), `EPSPOWER`, `EPSPowerSetSignNormalization()` | ||
| 1075 | @*/ | ||
| 1076 | 104 | PetscErrorCode EPSPowerGetSignNormalization(EPS eps,PetscBool *sign_normalization) | |
| 1077 | { | ||
| 1078 |
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104 | PetscFunctionBegin; |
| 1079 |
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104 | PetscValidHeaderSpecific(eps,EPS_CLASSID,1); |
| 1080 |
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104 | PetscAssertPointer(sign_normalization,2); |
| 1081 |
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104 | PetscUseMethod(eps,"EPSPowerGetSignNormalization_C",(EPS,PetscBool*),(eps,sign_normalization)); |
| 1082 |
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104 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1083 | } | ||
| 1084 | |||
| 1085 | ✗ | static PetscErrorCode EPSPowerSetSNES_Power(EPS eps,SNES snes) | |
| 1086 | { | ||
| 1087 | ✗ | EPS_POWER *power = (EPS_POWER*)eps->data; | |
| 1088 | |||
| 1089 | ✗ | PetscFunctionBegin; | |
| 1090 | ✗ | PetscCall(PetscObjectReference((PetscObject)snes)); | |
| 1091 | ✗ | PetscCall(SNESDestroy(&power->snes)); | |
| 1092 | ✗ | power->snes = snes; | |
| 1093 | ✗ | eps->state = EPS_STATE_INITIAL; | |
| 1094 | ✗ | PetscFunctionReturn(PETSC_SUCCESS); | |
| 1095 | } | ||
| 1096 | |||
| 1097 | /*@ | ||
| 1098 | EPSPowerSetSNES - Associate a nonlinear solver object (`SNES`) to the | ||
| 1099 | eigenvalue solver (to be used in nonlinear inverse iteration). | ||
| 1100 | |||
| 1101 | Collective | ||
| 1102 | |||
| 1103 | Input Parameters: | ||
| 1104 | + eps - the linear eigensolver context | ||
| 1105 | - snes - the nonlinear solver object | ||
| 1106 | |||
| 1107 | Note: | ||
| 1108 | This flag is relevant only in nonlinear problems, see `EPSPowerSetNonlinear()`. | ||
| 1109 | |||
| 1110 | Level: advanced | ||
| 1111 | |||
| 1112 | .seealso: [](ch:eps), `EPSPOWER`, `EPSPowerSetNonlinear()`, `EPSPowerGetSNES()` | ||
| 1113 | @*/ | ||
| 1114 | ✗ | PetscErrorCode EPSPowerSetSNES(EPS eps,SNES snes) | |
| 1115 | { | ||
| 1116 | ✗ | PetscFunctionBegin; | |
| 1117 | ✗ | PetscValidHeaderSpecific(eps,EPS_CLASSID,1); | |
| 1118 | ✗ | PetscValidHeaderSpecific(snes,SNES_CLASSID,2); | |
| 1119 | ✗ | PetscCheckSameComm(eps,1,snes,2); | |
| 1120 | ✗ | PetscTryMethod(eps,"EPSPowerSetSNES_C",(EPS,SNES),(eps,snes)); | |
| 1121 | ✗ | PetscFunctionReturn(PETSC_SUCCESS); | |
| 1122 | } | ||
| 1123 | |||
| 1124 | 352 | static PetscErrorCode EPSPowerGetSNES_Power(EPS eps,SNES *snes) | |
| 1125 | { | ||
| 1126 | 352 | EPS_POWER *power = (EPS_POWER*)eps->data; | |
| 1127 | |||
| 1128 |
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352 | PetscFunctionBegin; |
| 1129 |
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352 | if (!power->snes) { |
| 1130 |
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248 | PetscCall(SNESCreate(PetscObjectComm((PetscObject)eps),&power->snes)); |
| 1131 |
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248 | PetscCall(PetscObjectIncrementTabLevel((PetscObject)power->snes,(PetscObject)eps,1)); |
| 1132 |
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248 | PetscCall(SNESSetOptionsPrefix(power->snes,((PetscObject)eps)->prefix)); |
| 1133 |
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248 | PetscCall(SNESAppendOptionsPrefix(power->snes,"eps_power_")); |
| 1134 |
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248 | PetscCall(PetscObjectSetOptions((PetscObject)power->snes,((PetscObject)eps)->options)); |
| 1135 | } | ||
| 1136 | 352 | *snes = power->snes; | |
| 1137 |
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352 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1138 | } | ||
| 1139 | |||
| 1140 | /*@ | ||
| 1141 | EPSPowerGetSNES - Retrieve the nonlinear solver object (`SNES`) associated | ||
| 1142 | with the eigenvalue solver. | ||
| 1143 | |||
| 1144 | Not Collective | ||
| 1145 | |||
| 1146 | Input Parameter: | ||
| 1147 | . eps - the linear eigensolver context | ||
| 1148 | |||
| 1149 | Output Parameter: | ||
| 1150 | . snes - the nonlinear solver object | ||
| 1151 | |||
| 1152 | Level: advanced | ||
| 1153 | |||
| 1154 | .seealso: [](ch:eps), `EPSPOWER`, `EPSPowerSetSNES()` | ||
| 1155 | @*/ | ||
| 1156 | 352 | PetscErrorCode EPSPowerGetSNES(EPS eps,SNES *snes) | |
| 1157 | { | ||
| 1158 |
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352 | PetscFunctionBegin; |
| 1159 |
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352 | PetscValidHeaderSpecific(eps,EPS_CLASSID,1); |
| 1160 |
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352 | PetscAssertPointer(snes,2); |
| 1161 |
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352 | PetscUseMethod(eps,"EPSPowerGetSNES_C",(EPS,SNES*),(eps,snes)); |
| 1162 |
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352 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1163 | } | ||
| 1164 | |||
| 1165 | 382 | static PetscErrorCode EPSReset_Power(EPS eps) | |
| 1166 | { | ||
| 1167 | 382 | EPS_POWER *power = (EPS_POWER*)eps->data; | |
| 1168 | |||
| 1169 |
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382 | PetscFunctionBegin; |
| 1170 |
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382 | if (power->snes) PetscCall(SNESReset(power->snes)); |
| 1171 |
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96 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1172 | } | ||
| 1173 | |||
| 1174 | 374 | static PetscErrorCode EPSDestroy_Power(EPS eps) | |
| 1175 | { | ||
| 1176 | 374 | EPS_POWER *power = (EPS_POWER*)eps->data; | |
| 1177 | |||
| 1178 |
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374 | PetscFunctionBegin; |
| 1179 |
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374 | if (power->nonlinear) PetscCall(SNESDestroy(&power->snes)); |
| 1180 |
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374 | PetscCall(PetscFree(eps->data)); |
| 1181 |
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374 | PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSPowerSetShiftType_C",NULL)); |
| 1182 |
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374 | PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSPowerGetShiftType_C",NULL)); |
| 1183 |
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374 | PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSPowerSetNonlinear_C",NULL)); |
| 1184 |
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374 | PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSPowerGetNonlinear_C",NULL)); |
| 1185 |
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374 | PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSPowerSetUpdate_C",NULL)); |
| 1186 |
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374 | PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSPowerGetUpdate_C",NULL)); |
| 1187 |
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374 | PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSPowerSetSignNormalization_C",NULL)); |
| 1188 |
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374 | PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSPowerGetSignNormalization_C",NULL)); |
| 1189 |
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374 | PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSPowerSetSNES_C",NULL)); |
| 1190 |
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374 | PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSPowerGetSNES_C",NULL)); |
| 1191 |
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94 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1192 | } | ||
| 1193 | |||
| 1194 | ✗ | static PetscErrorCode EPSView_Power(EPS eps,PetscViewer viewer) | |
| 1195 | { | ||
| 1196 | ✗ | EPS_POWER *power = (EPS_POWER*)eps->data; | |
| 1197 | ✗ | PetscBool isascii; | |
| 1198 | |||
| 1199 | ✗ | PetscFunctionBegin; | |
| 1200 | ✗ | PetscCall(PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&isascii)); | |
| 1201 | ✗ | if (isascii) { | |
| 1202 | ✗ | if (power->nonlinear) { | |
| 1203 | ✗ | if (power->sign_normalization) PetscCall(PetscViewerASCIIPrintf(viewer," normalizing Bx by the sign of the first nonzero element\n")); | |
| 1204 | ✗ | else PetscCall(PetscViewerASCIIPrintf(viewer," not normalizing Bx by the sign of the first nonzero element\n")); | |
| 1205 | ✗ | PetscCall(PetscViewerASCIIPrintf(viewer," using nonlinear inverse iteration\n")); | |
| 1206 | ✗ | if (power->update) PetscCall(PetscViewerASCIIPrintf(viewer," updating the residual monolithically\n")); | |
| 1207 | ✗ | if (!power->snes) PetscCall(EPSPowerGetSNES(eps,&power->snes)); | |
| 1208 | ✗ | PetscCall(PetscViewerASCIIPushTab(viewer)); | |
| 1209 | ✗ | PetscCall(SNESView(power->snes,viewer)); | |
| 1210 | ✗ | PetscCall(PetscViewerASCIIPopTab(viewer)); | |
| 1211 | ✗ | } else PetscCall(PetscViewerASCIIPrintf(viewer," %s shifts\n",EPSPowerShiftTypes[power->shift_type])); | |
| 1212 | } | ||
| 1213 | ✗ | PetscFunctionReturn(PETSC_SUCCESS); | |
| 1214 | } | ||
| 1215 | |||
| 1216 | 302 | static PetscErrorCode EPSComputeVectors_Power(EPS eps) | |
| 1217 | { | ||
| 1218 | 302 | EPS_POWER *power = (EPS_POWER*)eps->data; | |
| 1219 | |||
| 1220 |
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302 | PetscFunctionBegin; |
| 1221 |
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302 | if (eps->twosided) { |
| 1222 |
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32 | PetscCall(EPSComputeVectors_Twosided(eps)); |
| 1223 |
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32 | PetscCall(BVNormalize(eps->V,NULL)); |
| 1224 |
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32 | PetscCall(BVNormalize(eps->W,NULL)); |
| 1225 |
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270 | } else if (!power->nonlinear) PetscCall(EPSComputeVectors_Schur(eps)); |
| 1226 |
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76 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1227 | } | ||
| 1228 | |||
| 1229 | 780 | static PetscErrorCode EPSSetDefaultST_Power(EPS eps) | |
| 1230 | { | ||
| 1231 | 780 | EPS_POWER *power = (EPS_POWER*)eps->data; | |
| 1232 | 780 | KSP ksp; | |
| 1233 | 780 | PC pc; | |
| 1234 | |||
| 1235 |
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780 | PetscFunctionBegin; |
| 1236 |
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780 | if (power->nonlinear) { |
| 1237 | 512 | eps->categ=EPS_CATEGORY_PRECOND; | |
| 1238 |
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512 | PetscCall(STGetKSP(eps->st,&ksp)); |
| 1239 | /* Set ST as STPRECOND so it can carry one preconditioning matrix | ||
| 1240 | * It is useful when A and B are shell matrices | ||
| 1241 | */ | ||
| 1242 |
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512 | PetscCall(STSetType(eps->st,STPRECOND)); |
| 1243 |
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512 | PetscCall(KSPGetPC(ksp,&pc)); |
| 1244 |
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512 | PetscCall(PCSetType(pc,PCNONE)); |
| 1245 | } | ||
| 1246 |
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196 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1247 | } | ||
| 1248 | |||
| 1249 | /*MC | ||
| 1250 | EPSPOWER - EPSPOWER = "power" - The simple power iteration and inverse | ||
| 1251 | iteration. | ||
| 1252 | |||
| 1253 | Notes: | ||
| 1254 | This solver is very basic and is not recommended in general, since it | ||
| 1255 | will not be competitive with respect to other solvers. | ||
| 1256 | |||
| 1257 | The implemented method is the power iteration, or inverse iteration in | ||
| 1258 | case the selected spectral transformation is `STSINVERT`. In this latter | ||
| 1259 | case it is possible to use a dynamic shift, as in the RQI method, see | ||
| 1260 | `EPSPowerSetShiftType()`. | ||
| 1261 | |||
| 1262 | The solver incorporates deflation so that several eigenpairs can be | ||
| 1263 | computed. There is also a two-sided implementation that also computes | ||
| 1264 | left eigenvectors. | ||
| 1265 | |||
| 1266 | This solver can also be used for nonlinear inverse iteration on the problem | ||
| 1267 | $A(x)x=\lambda B(x)x$, where $A$ and $B$ are not constant matrices but | ||
| 1268 | depend on the eigenvector $x$. This mode is enabled with `EPSPowerSetNonlinear()`. | ||
| 1269 | Note that this is a nonlinear eigenvector problem, as opposed to problems | ||
| 1270 | addressed in `NEP` that are nonlinear with respect to the eigenvalue. | ||
| 1271 | |||
| 1272 | Level: beginner | ||
| 1273 | |||
| 1274 | .seealso: [](ch:eps), `EPS`, `EPSType`, `EPSSetType()`, `EPSSetTwoSided()`, `EPSPowerSetShiftType()`, `EPSPowerSetNonlinear()` | ||
| 1275 | M*/ | ||
| 1276 | 374 | SLEPC_EXTERN PetscErrorCode EPSCreate_Power(EPS eps) | |
| 1277 | { | ||
| 1278 | 374 | EPS_POWER *ctx; | |
| 1279 | |||
| 1280 |
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374 | PetscFunctionBegin; |
| 1281 |
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374 | PetscCall(PetscNew(&ctx)); |
| 1282 | 374 | eps->data = (void*)ctx; | |
| 1283 | |||
| 1284 | 374 | eps->useds = PETSC_TRUE; | |
| 1285 | 374 | eps->categ = EPS_CATEGORY_OTHER; | |
| 1286 | |||
| 1287 | 374 | eps->ops->setup = EPSSetUp_Power; | |
| 1288 | 374 | eps->ops->setupsort = EPSSetUpSort_Default; | |
| 1289 | 374 | eps->ops->setfromoptions = EPSSetFromOptions_Power; | |
| 1290 | 374 | eps->ops->reset = EPSReset_Power; | |
| 1291 | 374 | eps->ops->destroy = EPSDestroy_Power; | |
| 1292 | 374 | eps->ops->view = EPSView_Power; | |
| 1293 | 374 | eps->ops->backtransform = EPSBackTransform_Power; | |
| 1294 | 374 | eps->ops->computevectors = EPSComputeVectors_Power; | |
| 1295 | 374 | eps->ops->setdefaultst = EPSSetDefaultST_Power; | |
| 1296 | 374 | eps->stopping = EPSStopping_Power; | |
| 1297 | 374 | ctx->sign_normalization = PETSC_TRUE; | |
| 1298 | |||
| 1299 |
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374 | PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSPowerSetShiftType_C",EPSPowerSetShiftType_Power)); |
| 1300 |
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374 | PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSPowerGetShiftType_C",EPSPowerGetShiftType_Power)); |
| 1301 |
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374 | PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSPowerSetNonlinear_C",EPSPowerSetNonlinear_Power)); |
| 1302 |
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374 | PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSPowerGetNonlinear_C",EPSPowerGetNonlinear_Power)); |
| 1303 |
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374 | PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSPowerSetUpdate_C",EPSPowerSetUpdate_Power)); |
| 1304 |
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374 | PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSPowerGetUpdate_C",EPSPowerGetUpdate_Power)); |
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374 | PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSPowerSetSignNormalization_C",EPSPowerSetSignNormalization_Power)); |
| 1306 |
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374 | PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSPowerGetSignNormalization_C",EPSPowerGetSignNormalization_Power)); |
| 1307 |
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374 | PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSPowerSetSNES_C",EPSPowerSetSNES_Power)); |
| 1308 |
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374 | PetscCall(PetscObjectComposeFunction((PetscObject)eps,"EPSPowerGetSNES_C",EPSPowerGetSNES_Power)); |
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94 | PetscFunctionReturn(PETSC_SUCCESS); |
| 1310 | } | ||
| 1311 |