| 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: "rii" | ||
| 12 | |||
| 13 | Method: Residual inverse iteration | ||
| 14 | |||
| 15 | Algorithm: | ||
| 16 | |||
| 17 | Simple residual inverse iteration with varying shift. | ||
| 18 | |||
| 19 | References: | ||
| 20 | |||
| 21 | [1] A. Neumaier, "Residual inverse iteration for the nonlinear | ||
| 22 | eigenvalue problem", SIAM J. Numer. Anal. 22(5):914-923, 1985. | ||
| 23 | */ | ||
| 24 | |||
| 25 | #include <slepc/private/nepimpl.h> /*I "slepcnep.h" I*/ | ||
| 26 | #include <../src/nep/impls/nepdefl.h> | ||
| 27 | |||
| 28 | typedef struct { | ||
| 29 | PetscInt max_inner_it; /* maximum number of Newton iterations */ | ||
| 30 | PetscInt lag; /* interval to rebuild preconditioner */ | ||
| 31 | PetscBool cctol; /* constant correction tolerance */ | ||
| 32 | PetscBool herm; /* whether the Hermitian version of the scalar equation must be used */ | ||
| 33 | PetscReal deftol; /* tolerance for the deflation (threshold) */ | ||
| 34 | KSP ksp; /* linear solver object */ | ||
| 35 | } NEP_RII; | ||
| 36 | |||
| 37 | 213 | static PetscErrorCode NEPSetUp_RII(NEP nep) | |
| 38 | { | ||
| 39 |
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213 | PetscFunctionBegin; |
| 40 |
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213 | if (nep->ncv!=PETSC_DETERMINE) PetscCall(PetscInfo(nep,"Setting ncv = nev, ignoring user-provided value\n")); |
| 41 | 213 | nep->ncv = nep->nev; | |
| 42 |
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213 | if (nep->mpd!=PETSC_DETERMINE) PetscCall(PetscInfo(nep,"Setting mpd = nev, ignoring user-provided value\n")); |
| 43 | 213 | nep->mpd = nep->nev; | |
| 44 |
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213 | if (nep->max_it==PETSC_DETERMINE) nep->max_it = PetscMax(5000,2*nep->n/nep->ncv); |
| 45 |
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213 | if (!nep->which) nep->which = NEP_TARGET_MAGNITUDE; |
| 46 |
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213 | PetscCheck(nep->which==NEP_TARGET_MAGNITUDE,PetscObjectComm((PetscObject)nep),PETSC_ERR_SUP,"This solver supports only target magnitude eigenvalues"); |
| 47 |
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213 | NEPCheckUnsupported(nep,NEP_FEATURE_REGION | NEP_FEATURE_TWOSIDED); |
| 48 |
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213 | PetscCall(NEPAllocateSolution(nep,0)); |
| 49 |
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213 | PetscCall(NEPSetWorkVecs(nep,2)); |
| 50 |
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48 | PetscFunctionReturn(PETSC_SUCCESS); |
| 51 | } | ||
| 52 | |||
| 53 | 213 | static PetscErrorCode NEPSolve_RII(NEP nep) | |
| 54 | { | ||
| 55 | 213 | NEP_RII *ctx = (NEP_RII*)nep->data; | |
| 56 | 213 | Mat T,Tp,H,A; | |
| 57 | 213 | Vec uu,u,r,delta,t; | |
| 58 | 213 | PetscScalar lambda,lambda2,sigma,a1,a2,corr; | |
| 59 | 213 | PetscReal nrm,resnorm=1.0,ktol=0.1,perr,rtol; | |
| 60 | 213 | PetscBool skip=PETSC_FALSE,lock=PETSC_FALSE; | |
| 61 | 213 | PetscInt inner_its,its=0; | |
| 62 | 213 | NEP_EXT_OP extop=NULL; | |
| 63 | 213 | KSPConvergedReason kspreason; | |
| 64 | |||
| 65 |
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213 | PetscFunctionBegin; |
| 66 | /* get initial approximation of eigenvalue and eigenvector */ | ||
| 67 |
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213 | PetscCall(NEPGetDefaultShift(nep,&sigma)); |
| 68 | 213 | lambda = sigma; | |
| 69 |
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213 | if (!nep->nini) { |
| 70 |
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190 | PetscCall(BVSetRandomColumn(nep->V,0)); |
| 71 |
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190 | PetscCall(BVNormColumn(nep->V,0,NORM_2,&nrm)); |
| 72 |
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190 | PetscCall(BVScaleColumn(nep->V,0,1.0/nrm)); |
| 73 | } | ||
| 74 |
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213 | if (!ctx->ksp) PetscCall(NEPRIIGetKSP(nep,&ctx->ksp)); |
| 75 |
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213 | PetscCall(NEPDeflationInitialize(nep,nep->V,ctx->ksp,PETSC_FALSE,nep->nev,&extop)); |
| 76 |
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213 | PetscCall(NEPDeflationCreateVec(extop,&u)); |
| 77 |
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213 | PetscCall(VecDuplicate(u,&r)); |
| 78 |
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213 | PetscCall(VecDuplicate(u,&delta)); |
| 79 |
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213 | PetscCall(BVGetColumn(nep->V,0,&uu)); |
| 80 |
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213 | PetscCall(NEPDeflationCopyToExtendedVec(extop,uu,NULL,u,PETSC_FALSE)); |
| 81 |
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213 | PetscCall(BVRestoreColumn(nep->V,0,&uu)); |
| 82 | |||
| 83 | /* prepare linear solver */ | ||
| 84 |
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213 | PetscCall(NEPDeflationSolveSetUp(extop,sigma)); |
| 85 |
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213 | PetscCall(KSPGetTolerances(ctx->ksp,&rtol,NULL,NULL,NULL)); |
| 86 | |||
| 87 |
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213 | PetscCall(VecCopy(u,r)); |
| 88 |
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213 | PetscCall(NEPDeflationFunctionSolve(extop,r,u)); |
| 89 |
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213 | PetscCall(VecNorm(u,NORM_2,&nrm)); |
| 90 |
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213 | PetscCall(VecScale(u,1.0/nrm)); |
| 91 | |||
| 92 | /* Restart loop */ | ||
| 93 |
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3572 | while (nep->reason == NEP_CONVERGED_ITERATING) { |
| 94 | 3359 | its++; | |
| 95 | |||
| 96 | /* Use Newton's method to compute nonlinear Rayleigh functional. Current eigenvalue | ||
| 97 | estimate as starting value. */ | ||
| 98 | 3359 | inner_its=0; | |
| 99 | 3359 | lambda2 = lambda; | |
| 100 | 7390 | do { | |
| 101 |
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7390 | PetscCall(NEPDeflationComputeFunction(extop,lambda,&T)); |
| 102 |
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7390 | PetscCall(MatMult(T,u,r)); |
| 103 |
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7390 | if (!ctx->herm) { |
| 104 |
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5218 | PetscCall(NEPDeflationFunctionSolve(extop,r,delta)); |
| 105 |
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5218 | PetscCall(KSPGetConvergedReason(ctx->ksp,&kspreason)); |
| 106 |
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5218 | if (kspreason<0) PetscCall(PetscInfo(nep,"iter=%" PetscInt_FMT ", linear solve failed\n",nep->its)); |
| 107 | 5218 | t = delta; | |
| 108 | 2172 | } else t = r; | |
| 109 |
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7390 | PetscCall(VecDot(t,u,&a1)); |
| 110 |
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7390 | PetscCall(NEPDeflationComputeJacobian(extop,lambda,&Tp)); |
| 111 |
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7390 | PetscCall(MatMult(Tp,u,r)); |
| 112 |
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7390 | if (!ctx->herm) { |
| 113 |
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5218 | PetscCall(NEPDeflationFunctionSolve(extop,r,delta)); |
| 114 |
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5218 | PetscCall(KSPGetConvergedReason(ctx->ksp,&kspreason)); |
| 115 |
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5218 | if (kspreason<0) PetscCall(PetscInfo(nep,"iter=%" PetscInt_FMT ", linear solve failed\n",nep->its)); |
| 116 | 5218 | t = delta; | |
| 117 | 2172 | } else t = r; | |
| 118 |
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7390 | PetscCall(VecDot(t,u,&a2)); |
| 119 | 7390 | corr = a1/a2; | |
| 120 | 7390 | lambda = lambda - corr; | |
| 121 | 7390 | inner_its++; | |
| 122 |
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7390 | } while (PetscAbsScalar(corr)/PetscAbsScalar(lambda)>PETSC_SQRT_MACHINE_EPSILON && inner_its<ctx->max_inner_it); |
| 123 | |||
| 124 | /* form residual, r = T(lambda)*u */ | ||
| 125 |
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3359 | PetscCall(NEPDeflationComputeFunction(extop,lambda,&T)); |
| 126 |
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3359 | PetscCall(MatMult(T,u,r)); |
| 127 | |||
| 128 | /* convergence test */ | ||
| 129 | 3359 | perr = nep->errest[nep->nconv]; | |
| 130 |
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3359 | PetscCall(VecNorm(r,NORM_2,&resnorm)); |
| 131 |
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3359 | PetscCall((*nep->converged)(nep,lambda,0,resnorm,&nep->errest[nep->nconv],nep->convergedctx)); |
| 132 | 3359 | nep->eigr[nep->nconv] = lambda; | |
| 133 |
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3359 | if (its>1 && (nep->errest[nep->nconv]<=nep->tol || nep->errest[nep->nconv]<=ctx->deftol)) { |
| 134 |
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313 | if (nep->errest[nep->nconv]<=ctx->deftol && !extop->ref && nep->nconv) { |
| 135 |
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32 | PetscCall(NEPDeflationExtractEigenpair(extop,nep->nconv,u,lambda,nep->ds)); |
| 136 |
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32 | PetscCall(NEPDeflationSetRefine(extop,PETSC_TRUE)); |
| 137 |
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32 | PetscCall(MatMult(T,u,r)); |
| 138 |
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32 | PetscCall(VecNorm(r,NORM_2,&resnorm)); |
| 139 |
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32 | PetscCall((*nep->converged)(nep,lambda,0,resnorm,&nep->errest[nep->nconv],nep->convergedctx)); |
| 140 |
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32 | if (nep->errest[nep->nconv]<=nep->tol) lock = PETSC_TRUE; |
| 141 |
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281 | } else if (nep->errest[nep->nconv]<=nep->tol) lock = PETSC_TRUE; |
| 142 | } | ||
| 143 |
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3058 | if (lock) { |
| 144 |
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301 | PetscCall(NEPDeflationSetRefine(extop,PETSC_FALSE)); |
| 145 | 301 | nep->nconv = nep->nconv + 1; | |
| 146 |
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301 | PetscCall(NEPDeflationLocking(extop,u,lambda)); |
| 147 | 301 | nep->its += its; | |
| 148 | 301 | skip = PETSC_TRUE; | |
| 149 | 301 | lock = PETSC_FALSE; | |
| 150 | } | ||
| 151 |
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3359 | PetscCall((*nep->stopping)(nep,nep->its+its,nep->max_it,nep->nconv,nep->nev,&nep->reason,nep->stoppingctx)); |
| 152 |
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3359 | if (!skip || nep->reason>0) PetscCall(NEPMonitor(nep,nep->its+its,nep->nconv,nep->eigr,nep->eigi,nep->errest,(nep->reason>0)?nep->nconv:nep->nconv+1)); |
| 153 | |||
| 154 |
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3359 | if (nep->reason == NEP_CONVERGED_ITERATING) { |
| 155 |
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3146 | if (!skip) { |
| 156 | /* update preconditioner and set adaptive tolerance */ | ||
| 157 |
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3058 | if (ctx->lag && !(its%ctx->lag) && its>=2*ctx->lag && perr && nep->errest[nep->nconv]>.5*perr) PetscCall(NEPDeflationSolveSetUp(extop,lambda2)); |
| 158 |
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3058 | if (!ctx->cctol) { |
| 159 |
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2994 | ktol = PetscMax(ktol/2.0,rtol); |
| 160 |
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2994 | PetscCall(KSPSetTolerances(ctx->ksp,ktol,PETSC_CURRENT,PETSC_CURRENT,PETSC_CURRENT)); |
| 161 | } | ||
| 162 | |||
| 163 | /* eigenvector correction: delta = T(sigma)\r */ | ||
| 164 |
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3058 | PetscCall(NEPDeflationFunctionSolve(extop,r,delta)); |
| 165 |
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3058 | PetscCall(KSPGetConvergedReason(ctx->ksp,&kspreason)); |
| 166 |
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3058 | if (kspreason<0) { |
| 167 | ✗ | PetscCall(PetscInfo(nep,"iter=%" PetscInt_FMT ", linear solve failed, stopping solve\n",nep->its)); | |
| 168 | ✗ | nep->reason = NEP_DIVERGED_LINEAR_SOLVE; | |
| 169 | ✗ | break; | |
| 170 | } | ||
| 171 | |||
| 172 | /* update eigenvector: u = u - delta */ | ||
| 173 |
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3058 | PetscCall(VecAXPY(u,-1.0,delta)); |
| 174 | |||
| 175 | /* normalize eigenvector */ | ||
| 176 |
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3058 | PetscCall(VecNormalize(u,NULL)); |
| 177 | } else { | ||
| 178 | 88 | its = -1; | |
| 179 |
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88 | PetscCall(NEPDeflationSetRandomVec(extop,u)); |
| 180 |
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88 | PetscCall(NEPDeflationSolveSetUp(extop,sigma)); |
| 181 |
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88 | PetscCall(VecCopy(u,r)); |
| 182 |
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88 | PetscCall(NEPDeflationFunctionSolve(extop,r,u)); |
| 183 |
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88 | PetscCall(VecNorm(u,NORM_2,&nrm)); |
| 184 |
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88 | PetscCall(VecScale(u,1.0/nrm)); |
| 185 | 88 | lambda = sigma; | |
| 186 | 88 | skip = PETSC_FALSE; | |
| 187 | } | ||
| 188 | } | ||
| 189 | } | ||
| 190 |
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213 | PetscCall(NEPDeflationGetInvariantPair(extop,NULL,&H)); |
| 191 |
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213 | PetscCall(DSSetType(nep->ds,DSNHEP)); |
| 192 |
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213 | PetscCall(DSAllocate(nep->ds,PetscMax(nep->nconv,1))); |
| 193 |
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213 | PetscCall(DSSetDimensions(nep->ds,nep->nconv,0,nep->nconv)); |
| 194 |
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213 | PetscCall(DSGetMat(nep->ds,DS_MAT_A,&A)); |
| 195 |
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213 | PetscCall(MatCopy(H,A,SAME_NONZERO_PATTERN)); |
| 196 |
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213 | PetscCall(DSRestoreMat(nep->ds,DS_MAT_A,&A)); |
| 197 |
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213 | PetscCall(MatDestroy(&H)); |
| 198 |
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213 | PetscCall(DSSolve(nep->ds,nep->eigr,nep->eigi)); |
| 199 |
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213 | PetscCall(NEPDeflationReset(extop)); |
| 200 |
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213 | PetscCall(VecDestroy(&u)); |
| 201 |
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213 | PetscCall(VecDestroy(&r)); |
| 202 |
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213 | PetscCall(VecDestroy(&delta)); |
| 203 |
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48 | PetscFunctionReturn(PETSC_SUCCESS); |
| 204 | } | ||
| 205 | |||
| 206 | 195 | static PetscErrorCode NEPSetFromOptions_RII(NEP nep,PetscOptionItems PetscOptionsObject) | |
| 207 | { | ||
| 208 | 195 | NEP_RII *ctx = (NEP_RII*)nep->data; | |
| 209 | 195 | PetscBool flg; | |
| 210 | 195 | PetscInt i; | |
| 211 | 195 | PetscReal r; | |
| 212 | |||
| 213 |
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195 | PetscFunctionBegin; |
| 214 |
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195 | PetscOptionsHeadBegin(PetscOptionsObject,"NEP RII Options"); |
| 215 | |||
| 216 | 195 | i = 0; | |
| 217 |
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195 | PetscCall(PetscOptionsInt("-nep_rii_max_it","Maximum number of Newton iterations for updating Rayleigh functional","NEPRIISetMaximumIterations",ctx->max_inner_it,&i,&flg)); |
| 218 |
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195 | if (flg) PetscCall(NEPRIISetMaximumIterations(nep,i)); |
| 219 | |||
| 220 |
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195 | PetscCall(PetscOptionsBool("-nep_rii_const_correction_tol","Constant correction tolerance for the linear solver","NEPRIISetConstCorrectionTol",ctx->cctol,&ctx->cctol,NULL)); |
| 221 | |||
| 222 |
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195 | PetscCall(PetscOptionsBool("-nep_rii_hermitian","Use Hermitian version of the scalar nonlinear equation","NEPRIISetHermitian",ctx->herm,&ctx->herm,NULL)); |
| 223 | |||
| 224 | 195 | i = 0; | |
| 225 |
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195 | PetscCall(PetscOptionsInt("-nep_rii_lag_preconditioner","Interval to rebuild preconditioner","NEPRIISetLagPreconditioner",ctx->lag,&i,&flg)); |
| 226 |
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195 | if (flg) PetscCall(NEPRIISetLagPreconditioner(nep,i)); |
| 227 | |||
| 228 | 195 | r = 0.0; | |
| 229 |
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195 | PetscCall(PetscOptionsReal("-nep_rii_deflation_threshold","Tolerance used as a threshold for including deflated eigenpairs","NEPRIISetDeflationThreshold",ctx->deftol,&r,&flg)); |
| 230 |
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195 | if (flg) PetscCall(NEPRIISetDeflationThreshold(nep,r)); |
| 231 | |||
| 232 |
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195 | PetscOptionsHeadEnd(); |
| 233 | |||
| 234 |
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195 | if (!ctx->ksp) PetscCall(NEPRIIGetKSP(nep,&ctx->ksp)); |
| 235 |
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195 | PetscCall(KSPSetFromOptions(ctx->ksp)); |
| 236 |
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40 | PetscFunctionReturn(PETSC_SUCCESS); |
| 237 | } | ||
| 238 | |||
| 239 | 8 | static PetscErrorCode NEPRIISetMaximumIterations_RII(NEP nep,PetscInt its) | |
| 240 | { | ||
| 241 | 8 | NEP_RII *ctx = (NEP_RII*)nep->data; | |
| 242 | |||
| 243 |
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8 | PetscFunctionBegin; |
| 244 |
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8 | if (its==PETSC_DEFAULT || its==PETSC_DECIDE) ctx->max_inner_it = 10; |
| 245 | else { | ||
| 246 |
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8 | PetscCheck(its>0,PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Number of iterations must be >0"); |
| 247 | 8 | ctx->max_inner_it = its; | |
| 248 | } | ||
| 249 |
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2 | PetscFunctionReturn(PETSC_SUCCESS); |
| 250 | } | ||
| 251 | |||
| 252 | /*@ | ||
| 253 | NEPRIISetMaximumIterations - Sets the maximum number of inner iterations to be | ||
| 254 | used in the RII solver. These are the Newton iterations related to the computation | ||
| 255 | of the nonlinear Rayleigh functional. | ||
| 256 | |||
| 257 | Logically Collective | ||
| 258 | |||
| 259 | Input Parameters: | ||
| 260 | + nep - the nonlinear eigensolver context | ||
| 261 | - its - maximum inner iterations | ||
| 262 | |||
| 263 | Level: advanced | ||
| 264 | |||
| 265 | .seealso: [](ch:nep), `NEPRII`, `NEPRIIGetMaximumIterations()` | ||
| 266 | @*/ | ||
| 267 | 8 | PetscErrorCode NEPRIISetMaximumIterations(NEP nep,PetscInt its) | |
| 268 | { | ||
| 269 |
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8 | PetscFunctionBegin; |
| 270 |
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8 | PetscValidHeaderSpecific(nep,NEP_CLASSID,1); |
| 271 |
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8 | PetscValidLogicalCollectiveInt(nep,its,2); |
| 272 |
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8 | PetscTryMethod(nep,"NEPRIISetMaximumIterations_C",(NEP,PetscInt),(nep,its)); |
| 273 |
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8 | PetscFunctionReturn(PETSC_SUCCESS); |
| 274 | } | ||
| 275 | |||
| 276 | 8 | static PetscErrorCode NEPRIIGetMaximumIterations_RII(NEP nep,PetscInt *its) | |
| 277 | { | ||
| 278 | 8 | NEP_RII *ctx = (NEP_RII*)nep->data; | |
| 279 | |||
| 280 |
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8 | PetscFunctionBegin; |
| 281 | 8 | *its = ctx->max_inner_it; | |
| 282 |
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8 | PetscFunctionReturn(PETSC_SUCCESS); |
| 283 | } | ||
| 284 | |||
| 285 | /*@ | ||
| 286 | NEPRIIGetMaximumIterations - Gets the maximum number of inner iterations of RII. | ||
| 287 | |||
| 288 | Not Collective | ||
| 289 | |||
| 290 | Input Parameter: | ||
| 291 | . nep - the nonlinear eigensolver context | ||
| 292 | |||
| 293 | Output Parameter: | ||
| 294 | . its - maximum inner iterations | ||
| 295 | |||
| 296 | Level: advanced | ||
| 297 | |||
| 298 | .seealso: [](ch:nep), `NEPRII`, `NEPRIISetMaximumIterations()` | ||
| 299 | @*/ | ||
| 300 | 8 | PetscErrorCode NEPRIIGetMaximumIterations(NEP nep,PetscInt *its) | |
| 301 | { | ||
| 302 |
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8 | PetscFunctionBegin; |
| 303 |
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8 | PetscValidHeaderSpecific(nep,NEP_CLASSID,1); |
| 304 |
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8 | PetscAssertPointer(its,2); |
| 305 |
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8 | PetscUseMethod(nep,"NEPRIIGetMaximumIterations_C",(NEP,PetscInt*),(nep,its)); |
| 306 |
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8 | PetscFunctionReturn(PETSC_SUCCESS); |
| 307 | } | ||
| 308 | |||
| 309 | 56 | static PetscErrorCode NEPRIISetLagPreconditioner_RII(NEP nep,PetscInt lag) | |
| 310 | { | ||
| 311 | 56 | NEP_RII *ctx = (NEP_RII*)nep->data; | |
| 312 | |||
| 313 |
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56 | PetscFunctionBegin; |
| 314 |
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56 | PetscCheck(lag>=0,PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Lag must be non-negative"); |
| 315 | 56 | ctx->lag = lag; | |
| 316 |
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56 | PetscFunctionReturn(PETSC_SUCCESS); |
| 317 | } | ||
| 318 | |||
| 319 | /*@ | ||
| 320 | NEPRIISetLagPreconditioner - Determines when the preconditioner is rebuilt in the | ||
| 321 | nonlinear solve. | ||
| 322 | |||
| 323 | Logically Collective | ||
| 324 | |||
| 325 | Input Parameters: | ||
| 326 | + nep - the nonlinear eigensolver context | ||
| 327 | - lag - 0 indicates NEVER rebuild, 1 means rebuild every time the Jacobian is | ||
| 328 | computed within the nonlinear iteration, 2 means every second time | ||
| 329 | the Jacobian is built, etc. | ||
| 330 | |||
| 331 | Options Database Key: | ||
| 332 | . -nep_rii_lag_preconditioner \<lag\> - the lag value | ||
| 333 | |||
| 334 | Notes: | ||
| 335 | The default is 1. | ||
| 336 | The preconditioner is ALWAYS built in the first iteration of a nonlinear solve. | ||
| 337 | |||
| 338 | Level: intermediate | ||
| 339 | |||
| 340 | .seealso: [](ch:nep), `NEPRII`, `NEPRIIGetLagPreconditioner()` | ||
| 341 | @*/ | ||
| 342 | 192 | PetscErrorCode NEPRIISetLagPreconditioner(NEP nep,PetscInt lag) | |
| 343 | { | ||
| 344 |
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192 | PetscFunctionBegin; |
| 345 |
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192 | PetscValidHeaderSpecific(nep,NEP_CLASSID,1); |
| 346 |
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192 | PetscValidLogicalCollectiveInt(nep,lag,2); |
| 347 |
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192 | PetscTryMethod(nep,"NEPRIISetLagPreconditioner_C",(NEP,PetscInt),(nep,lag)); |
| 348 |
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192 | PetscFunctionReturn(PETSC_SUCCESS); |
| 349 | } | ||
| 350 | |||
| 351 | 8 | static PetscErrorCode NEPRIIGetLagPreconditioner_RII(NEP nep,PetscInt *lag) | |
| 352 | { | ||
| 353 | 8 | NEP_RII *ctx = (NEP_RII*)nep->data; | |
| 354 | |||
| 355 |
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8 | PetscFunctionBegin; |
| 356 | 8 | *lag = ctx->lag; | |
| 357 |
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8 | PetscFunctionReturn(PETSC_SUCCESS); |
| 358 | } | ||
| 359 | |||
| 360 | /*@ | ||
| 361 | NEPRIIGetLagPreconditioner - Indicates how often the preconditioner is rebuilt. | ||
| 362 | |||
| 363 | Not Collective | ||
| 364 | |||
| 365 | Input Parameter: | ||
| 366 | . nep - the nonlinear eigensolver context | ||
| 367 | |||
| 368 | Output Parameter: | ||
| 369 | . lag - the lag parameter | ||
| 370 | |||
| 371 | Level: intermediate | ||
| 372 | |||
| 373 | .seealso: [](ch:nep), `NEPRII`, `NEPRIISetLagPreconditioner()` | ||
| 374 | @*/ | ||
| 375 | 8 | PetscErrorCode NEPRIIGetLagPreconditioner(NEP nep,PetscInt *lag) | |
| 376 | { | ||
| 377 |
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8 | PetscFunctionBegin; |
| 378 |
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8 | PetscValidHeaderSpecific(nep,NEP_CLASSID,1); |
| 379 |
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8 | PetscAssertPointer(lag,2); |
| 380 |
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8 | PetscUseMethod(nep,"NEPRIIGetLagPreconditioner_C",(NEP,PetscInt*),(nep,lag)); |
| 381 |
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8 | PetscFunctionReturn(PETSC_SUCCESS); |
| 382 | } | ||
| 383 | |||
| 384 | 8 | static PetscErrorCode NEPRIISetConstCorrectionTol_RII(NEP nep,PetscBool cct) | |
| 385 | { | ||
| 386 | 8 | NEP_RII *ctx = (NEP_RII*)nep->data; | |
| 387 | |||
| 388 |
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8 | PetscFunctionBegin; |
| 389 | 8 | ctx->cctol = cct; | |
| 390 |
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8 | PetscFunctionReturn(PETSC_SUCCESS); |
| 391 | } | ||
| 392 | |||
| 393 | /*@ | ||
| 394 | NEPRIISetConstCorrectionTol - Sets a flag to keep the tolerance used | ||
| 395 | in the linear solver constant. | ||
| 396 | |||
| 397 | Logically Collective | ||
| 398 | |||
| 399 | Input Parameters: | ||
| 400 | + nep - the nonlinear eigensolver context | ||
| 401 | - cct - if `PETSC_FALSE`, the `KSP` relative tolerance is set to $2^{-i}$ | ||
| 402 | |||
| 403 | Options Database Key: | ||
| 404 | . -nep_rii_const_correction_tol - set a constant or dynamic stopping criterion | ||
| 405 | |||
| 406 | Notes: | ||
| 407 | By default, an exponentially decreasing tolerance is set in the `KSP` used | ||
| 408 | within the nonlinear iteration, so that each Newton iteration requests | ||
| 409 | better accuracy than the previous one. The constant correction tolerance | ||
| 410 | flag stops this behavior. | ||
| 411 | |||
| 412 | Level: intermediate | ||
| 413 | |||
| 414 | .seealso: [](ch:nep), `NEPRII`, `NEPRIIGetConstCorrectionTol()`, `NEPRIIGetKSP()` | ||
| 415 | @*/ | ||
| 416 | 8 | PetscErrorCode NEPRIISetConstCorrectionTol(NEP nep,PetscBool cct) | |
| 417 | { | ||
| 418 |
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8 | PetscFunctionBegin; |
| 419 |
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8 | PetscValidHeaderSpecific(nep,NEP_CLASSID,1); |
| 420 |
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8 | PetscValidLogicalCollectiveBool(nep,cct,2); |
| 421 |
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8 | PetscTryMethod(nep,"NEPRIISetConstCorrectionTol_C",(NEP,PetscBool),(nep,cct)); |
| 422 |
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8 | PetscFunctionReturn(PETSC_SUCCESS); |
| 423 | } | ||
| 424 | |||
| 425 | 8 | static PetscErrorCode NEPRIIGetConstCorrectionTol_RII(NEP nep,PetscBool *cct) | |
| 426 | { | ||
| 427 | 8 | NEP_RII *ctx = (NEP_RII*)nep->data; | |
| 428 | |||
| 429 |
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8 | PetscFunctionBegin; |
| 430 | 8 | *cct = ctx->cctol; | |
| 431 |
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8 | PetscFunctionReturn(PETSC_SUCCESS); |
| 432 | } | ||
| 433 | |||
| 434 | /*@ | ||
| 435 | NEPRIIGetConstCorrectionTol - Returns the constant tolerance flag. | ||
| 436 | |||
| 437 | Not Collective | ||
| 438 | |||
| 439 | Input Parameter: | ||
| 440 | . nep - the nonlinear eigensolver context | ||
| 441 | |||
| 442 | Output Parameter: | ||
| 443 | . cct - the value of the constant tolerance flag | ||
| 444 | |||
| 445 | Level: intermediate | ||
| 446 | |||
| 447 | .seealso: [](ch:nep), `NEPRII`, `NEPRIISetConstCorrectionTol()` | ||
| 448 | @*/ | ||
| 449 | 8 | PetscErrorCode NEPRIIGetConstCorrectionTol(NEP nep,PetscBool *cct) | |
| 450 | { | ||
| 451 |
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8 | PetscFunctionBegin; |
| 452 |
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8 | PetscValidHeaderSpecific(nep,NEP_CLASSID,1); |
| 453 |
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8 | PetscAssertPointer(cct,2); |
| 454 |
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8 | PetscUseMethod(nep,"NEPRIIGetConstCorrectionTol_C",(NEP,PetscBool*),(nep,cct)); |
| 455 |
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8 | PetscFunctionReturn(PETSC_SUCCESS); |
| 456 | } | ||
| 457 | |||
| 458 | 8 | static PetscErrorCode NEPRIISetHermitian_RII(NEP nep,PetscBool herm) | |
| 459 | { | ||
| 460 | 8 | NEP_RII *ctx = (NEP_RII*)nep->data; | |
| 461 | |||
| 462 |
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8 | PetscFunctionBegin; |
| 463 | 8 | ctx->herm = herm; | |
| 464 |
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8 | PetscFunctionReturn(PETSC_SUCCESS); |
| 465 | } | ||
| 466 | |||
| 467 | /*@ | ||
| 468 | NEPRIISetHermitian - Sets a flag to indicate if the Hermitian version of the | ||
| 469 | scalar nonlinear equation must be used by the solver. | ||
| 470 | |||
| 471 | Logically Collective | ||
| 472 | |||
| 473 | Input Parameters: | ||
| 474 | + nep - the nonlinear eigensolver context | ||
| 475 | - herm - `PETSC_TRUE` if the Hermitian version is preferred | ||
| 476 | |||
| 477 | Options Database Key: | ||
| 478 | . -nep_rii_hermitian - toggle the Hermitian version | ||
| 479 | |||
| 480 | Notes: | ||
| 481 | By default, the scalar nonlinear equation $x^*T(\sigma)^{-1}T(z)x=0$ is solved | ||
| 482 | at each step of the nonlinear iteration. When this flag is set the simpler | ||
| 483 | form $x^*T(z)x=0$ is used, which is supposed to be valid only for Hermitian | ||
| 484 | problems. | ||
| 485 | |||
| 486 | Level: intermediate | ||
| 487 | |||
| 488 | .seealso: [](ch:nep), `NEPRII`, `NEPRIIGetHermitian()` | ||
| 489 | @*/ | ||
| 490 | 8 | PetscErrorCode NEPRIISetHermitian(NEP nep,PetscBool herm) | |
| 491 | { | ||
| 492 |
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8 | PetscFunctionBegin; |
| 493 |
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8 | PetscValidHeaderSpecific(nep,NEP_CLASSID,1); |
| 494 |
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8 | PetscValidLogicalCollectiveBool(nep,herm,2); |
| 495 |
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8 | PetscTryMethod(nep,"NEPRIISetHermitian_C",(NEP,PetscBool),(nep,herm)); |
| 496 |
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8 | PetscFunctionReturn(PETSC_SUCCESS); |
| 497 | } | ||
| 498 | |||
| 499 | 8 | static PetscErrorCode NEPRIIGetHermitian_RII(NEP nep,PetscBool *herm) | |
| 500 | { | ||
| 501 | 8 | NEP_RII *ctx = (NEP_RII*)nep->data; | |
| 502 | |||
| 503 |
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8 | PetscFunctionBegin; |
| 504 | 8 | *herm = ctx->herm; | |
| 505 |
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8 | PetscFunctionReturn(PETSC_SUCCESS); |
| 506 | } | ||
| 507 | |||
| 508 | /*@ | ||
| 509 | NEPRIIGetHermitian - Returns the flag about using the Hermitian version of | ||
| 510 | the scalar nonlinear equation. | ||
| 511 | |||
| 512 | Not Collective | ||
| 513 | |||
| 514 | Input Parameter: | ||
| 515 | . nep - the nonlinear eigensolver context | ||
| 516 | |||
| 517 | Output Parameter: | ||
| 518 | . herm - the value of the Hermitian flag | ||
| 519 | |||
| 520 | Level: intermediate | ||
| 521 | |||
| 522 | .seealso: [](ch:nep), `NEPRII`, `NEPRIISetHermitian()` | ||
| 523 | @*/ | ||
| 524 | 8 | PetscErrorCode NEPRIIGetHermitian(NEP nep,PetscBool *herm) | |
| 525 | { | ||
| 526 |
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8 | PetscFunctionBegin; |
| 527 |
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8 | PetscValidHeaderSpecific(nep,NEP_CLASSID,1); |
| 528 |
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8 | PetscAssertPointer(herm,2); |
| 529 |
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8 | PetscUseMethod(nep,"NEPRIIGetHermitian_C",(NEP,PetscBool*),(nep,herm)); |
| 530 |
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8 | PetscFunctionReturn(PETSC_SUCCESS); |
| 531 | } | ||
| 532 | |||
| 533 | 16 | static PetscErrorCode NEPRIISetDeflationThreshold_RII(NEP nep,PetscReal deftol) | |
| 534 | { | ||
| 535 | 16 | NEP_RII *ctx = (NEP_RII*)nep->data; | |
| 536 | |||
| 537 |
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16 | PetscFunctionBegin; |
| 538 | 16 | ctx->deftol = deftol; | |
| 539 |
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16 | PetscFunctionReturn(PETSC_SUCCESS); |
| 540 | } | ||
| 541 | |||
| 542 | /*@ | ||
| 543 | NEPRIISetDeflationThreshold - Sets the threshold value used to switch between | ||
| 544 | deflated and non-deflated iteration. | ||
| 545 | |||
| 546 | Logically Collective | ||
| 547 | |||
| 548 | Input Parameters: | ||
| 549 | + nep - the nonlinear eigensolver context | ||
| 550 | - deftol - the threshold value | ||
| 551 | |||
| 552 | Options Database Key: | ||
| 553 | . -nep_rii_deflation_threshold \<deftol\> - set the threshold | ||
| 554 | |||
| 555 | Note: | ||
| 556 | Normally, the solver iterates on the extended problem in order to deflate | ||
| 557 | previously converged eigenpairs. If this threshold is set to a nonzero value, | ||
| 558 | then once the residual error is below this threshold the solver will | ||
| 559 | continue the iteration without deflation. The intention is to be able to | ||
| 560 | improve the current eigenpair further, despite having previous eigenpairs | ||
| 561 | with somewhat bad precision. | ||
| 562 | |||
| 563 | Level: advanced | ||
| 564 | |||
| 565 | .seealso: [](ch:nep), `NEPRII`, `NEPRIIGetDeflationThreshold()` | ||
| 566 | @*/ | ||
| 567 | 16 | PetscErrorCode NEPRIISetDeflationThreshold(NEP nep,PetscReal deftol) | |
| 568 | { | ||
| 569 |
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16 | PetscFunctionBegin; |
| 570 |
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16 | PetscValidHeaderSpecific(nep,NEP_CLASSID,1); |
| 571 |
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16 | PetscValidLogicalCollectiveReal(nep,deftol,2); |
| 572 |
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16 | PetscTryMethod(nep,"NEPRIISetDeflationThreshold_C",(NEP,PetscReal),(nep,deftol)); |
| 573 |
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16 | PetscFunctionReturn(PETSC_SUCCESS); |
| 574 | } | ||
| 575 | |||
| 576 | 8 | static PetscErrorCode NEPRIIGetDeflationThreshold_RII(NEP nep,PetscReal *deftol) | |
| 577 | { | ||
| 578 | 8 | NEP_RII *ctx = (NEP_RII*)nep->data; | |
| 579 | |||
| 580 |
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8 | PetscFunctionBegin; |
| 581 | 8 | *deftol = ctx->deftol; | |
| 582 |
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8 | PetscFunctionReturn(PETSC_SUCCESS); |
| 583 | } | ||
| 584 | |||
| 585 | /*@ | ||
| 586 | NEPRIIGetDeflationThreshold - Returns the threshold value that controls deflation. | ||
| 587 | |||
| 588 | Not Collective | ||
| 589 | |||
| 590 | Input Parameter: | ||
| 591 | . nep - the nonlinear eigensolver context | ||
| 592 | |||
| 593 | Output Parameter: | ||
| 594 | . deftol - the threshold | ||
| 595 | |||
| 596 | Level: advanced | ||
| 597 | |||
| 598 | .seealso: [](ch:nep), `NEPRII`, `NEPRIISetDeflationThreshold()` | ||
| 599 | @*/ | ||
| 600 | 8 | PetscErrorCode NEPRIIGetDeflationThreshold(NEP nep,PetscReal *deftol) | |
| 601 | { | ||
| 602 |
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8 | PetscFunctionBegin; |
| 603 |
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8 | PetscValidHeaderSpecific(nep,NEP_CLASSID,1); |
| 604 |
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8 | PetscAssertPointer(deftol,2); |
| 605 |
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8 | PetscUseMethod(nep,"NEPRIIGetDeflationThreshold_C",(NEP,PetscReal*),(nep,deftol)); |
| 606 |
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8 | PetscFunctionReturn(PETSC_SUCCESS); |
| 607 | } | ||
| 608 | |||
| 609 | 8 | static PetscErrorCode NEPRIISetKSP_RII(NEP nep,KSP ksp) | |
| 610 | { | ||
| 611 | 8 | NEP_RII *ctx = (NEP_RII*)nep->data; | |
| 612 | |||
| 613 |
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8 | PetscFunctionBegin; |
| 614 |
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8 | PetscCall(PetscObjectReference((PetscObject)ksp)); |
| 615 |
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8 | PetscCall(KSPDestroy(&ctx->ksp)); |
| 616 | 8 | ctx->ksp = ksp; | |
| 617 | 8 | nep->state = NEP_STATE_INITIAL; | |
| 618 |
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8 | PetscFunctionReturn(PETSC_SUCCESS); |
| 619 | } | ||
| 620 | |||
| 621 | /*@ | ||
| 622 | NEPRIISetKSP - Associate a linear solver object (`KSP`) to the nonlinear | ||
| 623 | eigenvalue solver. | ||
| 624 | |||
| 625 | Collective | ||
| 626 | |||
| 627 | Input Parameters: | ||
| 628 | + nep - the nonlinear eigensolver context | ||
| 629 | - ksp - the linear solver object | ||
| 630 | |||
| 631 | Level: advanced | ||
| 632 | |||
| 633 | .seealso: [](ch:nep), `NEPRII`, `NEPRIIGetKSP()` | ||
| 634 | @*/ | ||
| 635 | 8 | PetscErrorCode NEPRIISetKSP(NEP nep,KSP ksp) | |
| 636 | { | ||
| 637 |
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8 | PetscFunctionBegin; |
| 638 |
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8 | PetscValidHeaderSpecific(nep,NEP_CLASSID,1); |
| 639 |
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8 | PetscValidHeaderSpecific(ksp,KSP_CLASSID,2); |
| 640 |
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8 | PetscCheckSameComm(nep,1,ksp,2); |
| 641 |
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8 | PetscTryMethod(nep,"NEPRIISetKSP_C",(NEP,KSP),(nep,ksp)); |
| 642 |
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8 | PetscFunctionReturn(PETSC_SUCCESS); |
| 643 | } | ||
| 644 | |||
| 645 | 211 | static PetscErrorCode NEPRIIGetKSP_RII(NEP nep,KSP *ksp) | |
| 646 | { | ||
| 647 | 211 | NEP_RII *ctx = (NEP_RII*)nep->data; | |
| 648 | |||
| 649 |
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211 | PetscFunctionBegin; |
| 650 |
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211 | if (!ctx->ksp) { |
| 651 |
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211 | PetscCall(KSPCreate(PetscObjectComm((PetscObject)nep),&ctx->ksp)); |
| 652 |
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211 | PetscCall(PetscObjectIncrementTabLevel((PetscObject)ctx->ksp,(PetscObject)nep,1)); |
| 653 |
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211 | PetscCall(KSPSetOptionsPrefix(ctx->ksp,((PetscObject)nep)->prefix)); |
| 654 |
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211 | PetscCall(KSPAppendOptionsPrefix(ctx->ksp,"nep_rii_")); |
| 655 |
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211 | PetscCall(PetscObjectSetOptions((PetscObject)ctx->ksp,((PetscObject)nep)->options)); |
| 656 |
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211 | PetscCall(KSPSetErrorIfNotConverged(ctx->ksp,PETSC_TRUE)); |
| 657 |
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299 | PetscCall(KSPSetTolerances(ctx->ksp,SlepcDefaultTol(nep->tol),PETSC_CURRENT,PETSC_CURRENT,PETSC_CURRENT)); |
| 658 | } | ||
| 659 | 211 | *ksp = ctx->ksp; | |
| 660 |
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211 | PetscFunctionReturn(PETSC_SUCCESS); |
| 661 | } | ||
| 662 | |||
| 663 | /*@ | ||
| 664 | NEPRIIGetKSP - Retrieve the linear solver object (`KSP`) associated with | ||
| 665 | the nonlinear eigenvalue solver. | ||
| 666 | |||
| 667 | Collective | ||
| 668 | |||
| 669 | Input Parameter: | ||
| 670 | . nep - the nonlinear eigensolver context | ||
| 671 | |||
| 672 | Output Parameter: | ||
| 673 | . ksp - the linear solver object | ||
| 674 | |||
| 675 | Level: advanced | ||
| 676 | |||
| 677 | .seealso: [](ch:nep), `NEPRII`, `NEPRIISetKSP()` | ||
| 678 | @*/ | ||
| 679 | 211 | PetscErrorCode NEPRIIGetKSP(NEP nep,KSP *ksp) | |
| 680 | { | ||
| 681 |
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211 | PetscFunctionBegin; |
| 682 |
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211 | PetscValidHeaderSpecific(nep,NEP_CLASSID,1); |
| 683 |
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211 | PetscAssertPointer(ksp,2); |
| 684 |
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211 | PetscUseMethod(nep,"NEPRIIGetKSP_C",(NEP,KSP*),(nep,ksp)); |
| 685 |
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|
211 | PetscFunctionReturn(PETSC_SUCCESS); |
| 686 | } | ||
| 687 | |||
| 688 | 8 | static PetscErrorCode NEPView_RII(NEP nep,PetscViewer viewer) | |
| 689 | { | ||
| 690 | 8 | NEP_RII *ctx = (NEP_RII*)nep->data; | |
| 691 | 8 | PetscBool isascii; | |
| 692 | |||
| 693 |
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8 | PetscFunctionBegin; |
| 694 |
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8 | PetscCall(PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&isascii)); |
| 695 |
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8 | if (isascii) { |
| 696 |
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8 | PetscCall(PetscViewerASCIIPrintf(viewer," maximum number of inner iterations: %" PetscInt_FMT "\n",ctx->max_inner_it)); |
| 697 |
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8 | if (ctx->cctol) PetscCall(PetscViewerASCIIPrintf(viewer," using a constant tolerance for the linear solver\n")); |
| 698 |
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8 | if (ctx->herm) PetscCall(PetscViewerASCIIPrintf(viewer," using the Hermitian version of the scalar nonlinear equation\n")); |
| 699 |
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8 | if (ctx->lag) PetscCall(PetscViewerASCIIPrintf(viewer," updating the preconditioner every %" PetscInt_FMT " iterations\n",ctx->lag)); |
| 700 |
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8 | if (ctx->deftol) PetscCall(PetscViewerASCIIPrintf(viewer," deflation threshold: %g\n",(double)ctx->deftol)); |
| 701 |
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8 | if (!ctx->ksp) PetscCall(NEPRIIGetKSP(nep,&ctx->ksp)); |
| 702 |
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8 | PetscCall(PetscViewerASCIIPushTab(viewer)); |
| 703 |
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8 | PetscCall(KSPView(ctx->ksp,viewer)); |
| 704 |
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8 | PetscCall(PetscViewerASCIIPopTab(viewer)); |
| 705 | } | ||
| 706 |
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2 | PetscFunctionReturn(PETSC_SUCCESS); |
| 707 | } | ||
| 708 | |||
| 709 | 227 | static PetscErrorCode NEPReset_RII(NEP nep) | |
| 710 | { | ||
| 711 | 227 | NEP_RII *ctx = (NEP_RII*)nep->data; | |
| 712 | |||
| 713 |
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227 | PetscFunctionBegin; |
| 714 |
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227 | PetscCall(KSPReset(ctx->ksp)); |
| 715 |
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48 | PetscFunctionReturn(PETSC_SUCCESS); |
| 716 | } | ||
| 717 | |||
| 718 | 219 | static PetscErrorCode NEPDestroy_RII(NEP nep) | |
| 719 | { | ||
| 720 | 219 | NEP_RII *ctx = (NEP_RII*)nep->data; | |
| 721 | |||
| 722 |
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219 | PetscFunctionBegin; |
| 723 |
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219 | PetscCall(KSPDestroy(&ctx->ksp)); |
| 724 |
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219 | PetscCall(PetscFree(nep->data)); |
| 725 |
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219 | PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPRIISetMaximumIterations_C",NULL)); |
| 726 |
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219 | PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPRIIGetMaximumIterations_C",NULL)); |
| 727 |
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219 | PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPRIISetLagPreconditioner_C",NULL)); |
| 728 |
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219 | PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPRIIGetLagPreconditioner_C",NULL)); |
| 729 |
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219 | PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPRIISetConstCorrectionTol_C",NULL)); |
| 730 |
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219 | PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPRIIGetConstCorrectionTol_C",NULL)); |
| 731 |
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219 | PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPRIISetHermitian_C",NULL)); |
| 732 |
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219 | PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPRIIGetHermitian_C",NULL)); |
| 733 |
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219 | PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPRIISetDeflationThreshold_C",NULL)); |
| 734 |
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219 | PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPRIIGetDeflationThreshold_C",NULL)); |
| 735 |
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219 | PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPRIISetKSP_C",NULL)); |
| 736 |
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219 | PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPRIIGetKSP_C",NULL)); |
| 737 |
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46 | PetscFunctionReturn(PETSC_SUCCESS); |
| 738 | } | ||
| 739 | |||
| 740 | /*MC | ||
| 741 | NEPRII - NEPRII = "rii" - Simple residual inverse iteration with | ||
| 742 | varying shift. | ||
| 743 | |||
| 744 | Notes: | ||
| 745 | This is the default solver, although it is very basic. Users are | ||
| 746 | advised to try other solvers. | ||
| 747 | |||
| 748 | This solver is based on the modification proposed by {cite:t}`Neu85` | ||
| 749 | of the classical residual inverse iteration method. At each step, | ||
| 750 | this method has to solve a system of linear equations. Call | ||
| 751 | `NEPRIIGetKSP()` to configure the `KSP` object used for this. | ||
| 752 | When using iterative linear solvers, the preconditioner will be updated | ||
| 753 | in each step or not, depending on `NEPRIISetLagPreconditioner()`, and | ||
| 754 | the tolerance will be constant or not depending on | ||
| 755 | `NEPRIISetConstCorrectionTol()`. | ||
| 756 | |||
| 757 | The solver incorporates deflation, so that several eigenpairs con be | ||
| 758 | computed. Details of the implementation in SLEPc can be found in | ||
| 759 | {cite:p}`Cam21`. | ||
| 760 | |||
| 761 | Level: beginner | ||
| 762 | |||
| 763 | .seealso: [](ch:nep), `NEP`, `NEPType`, `NEPSetType()`, `NEPRIIGetKSP()`, `NEPRIISetLagPreconditioner()`, `NEPRIISetConstCorrectionTol()` | ||
| 764 | M*/ | ||
| 765 | 219 | SLEPC_EXTERN PetscErrorCode NEPCreate_RII(NEP nep) | |
| 766 | { | ||
| 767 | 219 | NEP_RII *ctx; | |
| 768 | |||
| 769 |
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219 | PetscFunctionBegin; |
| 770 |
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219 | PetscCall(PetscNew(&ctx)); |
| 771 | 219 | nep->data = (void*)ctx; | |
| 772 | 219 | ctx->max_inner_it = 10; | |
| 773 | 219 | ctx->lag = 1; | |
| 774 | 219 | ctx->cctol = PETSC_FALSE; | |
| 775 | 219 | ctx->herm = PETSC_FALSE; | |
| 776 | 219 | ctx->deftol = 0.0; | |
| 777 | |||
| 778 | 219 | nep->useds = PETSC_TRUE; | |
| 779 | |||
| 780 | 219 | nep->ops->solve = NEPSolve_RII; | |
| 781 | 219 | nep->ops->setup = NEPSetUp_RII; | |
| 782 | 219 | nep->ops->setfromoptions = NEPSetFromOptions_RII; | |
| 783 | 219 | nep->ops->reset = NEPReset_RII; | |
| 784 | 219 | nep->ops->destroy = NEPDestroy_RII; | |
| 785 | 219 | nep->ops->view = NEPView_RII; | |
| 786 | 219 | nep->ops->computevectors = NEPComputeVectors_Schur; | |
| 787 | |||
| 788 |
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219 | PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPRIISetMaximumIterations_C",NEPRIISetMaximumIterations_RII)); |
| 789 |
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219 | PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPRIIGetMaximumIterations_C",NEPRIIGetMaximumIterations_RII)); |
| 790 |
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219 | PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPRIISetLagPreconditioner_C",NEPRIISetLagPreconditioner_RII)); |
| 791 |
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219 | PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPRIIGetLagPreconditioner_C",NEPRIIGetLagPreconditioner_RII)); |
| 792 |
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219 | PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPRIISetConstCorrectionTol_C",NEPRIISetConstCorrectionTol_RII)); |
| 793 |
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219 | PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPRIIGetConstCorrectionTol_C",NEPRIIGetConstCorrectionTol_RII)); |
| 794 |
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219 | PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPRIISetHermitian_C",NEPRIISetHermitian_RII)); |
| 795 |
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219 | PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPRIIGetHermitian_C",NEPRIIGetHermitian_RII)); |
| 796 |
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219 | PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPRIISetDeflationThreshold_C",NEPRIISetDeflationThreshold_RII)); |
| 797 |
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219 | PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPRIIGetDeflationThreshold_C",NEPRIIGetDeflationThreshold_RII)); |
| 798 |
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219 | PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPRIISetKSP_C",NEPRIISetKSP_RII)); |
| 799 |
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219 | PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPRIIGetKSP_C",NEPRIIGetKSP_RII)); |
| 800 |
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46 | PetscFunctionReturn(PETSC_SUCCESS); |
| 801 | } | ||
| 802 |