GCC Code Coverage Report


Directory: ./
File: src/nep/impls/rii/rii.c
Date: 2025-10-04 04:19:13
Exec Total Coverage
Lines: 368 371 99.2%
Functions: 31 31 100.0%
Branches: 1103 2146 51.4%

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
37 266 static PetscErrorCode NEPSetUp_RII(NEP nep)
38 {
39
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266 PetscFunctionBegin;
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266 if (nep->ncv!=PETSC_DETERMINE) PetscCall(PetscInfo(nep,"Setting ncv = nev, ignoring user-provided value\n"));
41 266 nep->ncv = nep->nev;
42
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266 if (nep->mpd!=PETSC_DETERMINE) PetscCall(PetscInfo(nep,"Setting mpd = nev, ignoring user-provided value\n"));
43 266 nep->mpd = nep->nev;
44
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266 if (nep->max_it==PETSC_DETERMINE) nep->max_it = PetscMax(5000,2*nep->n/nep->ncv);
45
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266 if (!nep->which) nep->which = NEP_TARGET_MAGNITUDE;
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266 PetscCheck(nep->which==NEP_TARGET_MAGNITUDE,PetscObjectComm((PetscObject)nep),PETSC_ERR_SUP,"This solver supports only target magnitude eigenvalues");
47
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266 NEPCheckUnsupported(nep,NEP_FEATURE_REGION | NEP_FEATURE_TWOSIDED);
48
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266 PetscCall(NEPAllocateSolution(nep,0));
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266 PetscCall(NEPSetWorkVecs(nep,2));
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48 PetscFunctionReturn(PETSC_SUCCESS);
51 }
52
53 266 static PetscErrorCode NEPSolve_RII(NEP nep)
54 {
55 266 NEP_RII *ctx = (NEP_RII*)nep->data;
56 266 Mat T,Tp,H,A;
57 266 Vec uu,u,r,delta,t;
58 266 PetscScalar lambda,lambda2,sigma,a1,a2,corr;
59 266 PetscReal nrm,resnorm=1.0,ktol=0.1,perr,rtol;
60 266 PetscBool skip=PETSC_FALSE,lock=PETSC_FALSE;
61 266 PetscInt inner_its,its=0;
62 266 NEP_EXT_OP extop=NULL;
63 266 KSPConvergedReason kspreason;
64
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266 PetscFunctionBegin;
66 /* get initial approximation of eigenvalue and eigenvector */
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266 PetscCall(NEPGetDefaultShift(nep,&sigma));
68 266 lambda = sigma;
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266 if (!nep->nini) {
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238 PetscCall(BVSetRandomColumn(nep->V,0));
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238 PetscCall(BVNormColumn(nep->V,0,NORM_2,&nrm));
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238 PetscCall(BVScaleColumn(nep->V,0,1.0/nrm));
73 }
74
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266 if (!ctx->ksp) PetscCall(NEPRIIGetKSP(nep,&ctx->ksp));
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266 PetscCall(NEPDeflationInitialize(nep,nep->V,ctx->ksp,PETSC_FALSE,nep->nev,&extop));
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266 PetscCall(NEPDeflationCreateVec(extop,&u));
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266 PetscCall(VecDuplicate(u,&r));
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266 PetscCall(VecDuplicate(u,&delta));
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266 PetscCall(BVGetColumn(nep->V,0,&uu));
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266 PetscCall(NEPDeflationCopyToExtendedVec(extop,uu,NULL,u,PETSC_FALSE));
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266 PetscCall(BVRestoreColumn(nep->V,0,&uu));
82
83 /* prepare linear solver */
84
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266 PetscCall(NEPDeflationSolveSetUp(extop,sigma));
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266 PetscCall(KSPGetTolerances(ctx->ksp,&rtol,NULL,NULL,NULL));
86
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266 PetscCall(VecCopy(u,r));
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266 PetscCall(NEPDeflationFunctionSolve(extop,r,u));
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266 PetscCall(VecNorm(u,NORM_2,&nrm));
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266 PetscCall(VecScale(u,1.0/nrm));
91
92 /* Restart loop */
93
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4463 while (nep->reason == NEP_CONVERGED_ITERATING) {
94 4197 its++;
95
96 /* Use Newton's method to compute nonlinear Rayleigh functional. Current eigenvalue
97 estimate as starting value. */
98 4197 inner_its=0;
99 4197 lambda2 = lambda;
100 9236 do {
101
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9236 PetscCall(NEPDeflationComputeFunction(extop,lambda,&T));
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9236 PetscCall(MatMult(T,u,r));
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9236 if (!ctx->herm) {
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6521 PetscCall(NEPDeflationFunctionSolve(extop,r,delta));
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6521 PetscCall(KSPGetConvergedReason(ctx->ksp,&kspreason));
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6521 if (kspreason<0) PetscCall(PetscInfo(nep,"iter=%" PetscInt_FMT ", linear solve failed\n",nep->its));
107 6521 t = delta;
108 2715 } else t = r;
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9236 PetscCall(VecDot(t,u,&a1));
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9236 PetscCall(NEPDeflationComputeJacobian(extop,lambda,&Tp));
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9236 PetscCall(MatMult(Tp,u,r));
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9236 if (!ctx->herm) {
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6521 PetscCall(NEPDeflationFunctionSolve(extop,r,delta));
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6521 PetscCall(KSPGetConvergedReason(ctx->ksp,&kspreason));
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6521 if (kspreason<0) PetscCall(PetscInfo(nep,"iter=%" PetscInt_FMT ", linear solve failed\n",nep->its));
116 6521 t = delta;
117 2715 } else t = r;
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9236 PetscCall(VecDot(t,u,&a2));
119 9236 corr = a1/a2;
120 9236 lambda = lambda - corr;
121 9236 inner_its++;
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9236 } 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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4197 PetscCall(NEPDeflationComputeFunction(extop,lambda,&T));
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4197 PetscCall(MatMult(T,u,r));
127
128 /* convergence test */
129 4197 perr = nep->errest[nep->nconv];
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4197 PetscCall(VecNorm(r,NORM_2,&resnorm));
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4197 PetscCall((*nep->converged)(nep,lambda,0,resnorm,&nep->errest[nep->nconv],nep->convergedctx));
132 4197 nep->eigr[nep->nconv] = lambda;
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4197 if (its>1 && (nep->errest[nep->nconv]<=nep->tol || nep->errest[nep->nconv]<=ctx->deftol)) {
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391 if (nep->errest[nep->nconv]<=ctx->deftol && !extop->ref && nep->nconv) {
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40 PetscCall(NEPDeflationExtractEigenpair(extop,nep->nconv,u,lambda,nep->ds));
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40 PetscCall(NEPDeflationSetRefine(extop,PETSC_TRUE));
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40 PetscCall(MatMult(T,u,r));
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40 PetscCall(VecNorm(r,NORM_2,&resnorm));
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40 PetscCall((*nep->converged)(nep,lambda,0,resnorm,&nep->errest[nep->nconv],nep->convergedctx));
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40 if (nep->errest[nep->nconv]<=nep->tol) lock = PETSC_TRUE;
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351 } else if (nep->errest[nep->nconv]<=nep->tol) lock = PETSC_TRUE;
142 }
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3821 if (lock) {
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376 PetscCall(NEPDeflationSetRefine(extop,PETSC_FALSE));
145 376 nep->nconv = nep->nconv + 1;
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376 PetscCall(NEPDeflationLocking(extop,u,lambda));
147 376 nep->its += its;
148 376 skip = PETSC_TRUE;
149 376 lock = PETSC_FALSE;
150 }
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4197 PetscCall((*nep->stopping)(nep,nep->its+its,nep->max_it,nep->nconv,nep->nev,&nep->reason,nep->stoppingctx));
152
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4197 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
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4197 if (nep->reason == NEP_CONVERGED_ITERATING) {
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3931 if (!skip) {
156 /* update preconditioner and set adaptive tolerance */
157
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3821 if (ctx->lag && !(its%ctx->lag) && its>=2*ctx->lag && perr && nep->errest[nep->nconv]>.5*perr) PetscCall(NEPDeflationSolveSetUp(extop,lambda2));
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3821 if (!ctx->cctol) {
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3741 ktol = PetscMax(ktol/2.0,rtol);
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3741 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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3821 PetscCall(NEPDeflationFunctionSolve(extop,r,delta));
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3821 PetscCall(KSPGetConvergedReason(ctx->ksp,&kspreason));
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3821 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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3821 PetscCall(VecAXPY(u,-1.0,delta));
174
175 /* normalize eigenvector */
176
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3821 PetscCall(VecNormalize(u,NULL));
177 } else {
178 110 its = -1;
179
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110 PetscCall(NEPDeflationSetRandomVec(extop,u));
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110 PetscCall(NEPDeflationSolveSetUp(extop,sigma));
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110 PetscCall(VecCopy(u,r));
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110 PetscCall(NEPDeflationFunctionSolve(extop,r,u));
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110 PetscCall(VecNorm(u,NORM_2,&nrm));
184
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110 PetscCall(VecScale(u,1.0/nrm));
185 110 lambda = sigma;
186 110 skip = PETSC_FALSE;
187 }
188 }
189 }
190
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266 PetscCall(NEPDeflationGetInvariantPair(extop,NULL,&H));
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266 PetscCall(DSSetType(nep->ds,DSNHEP));
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266 PetscCall(DSAllocate(nep->ds,PetscMax(nep->nconv,1)));
193
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266 PetscCall(DSSetDimensions(nep->ds,nep->nconv,0,nep->nconv));
194
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266 PetscCall(DSGetMat(nep->ds,DS_MAT_A,&A));
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266 PetscCall(MatCopy(H,A,SAME_NONZERO_PATTERN));
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266 PetscCall(DSRestoreMat(nep->ds,DS_MAT_A,&A));
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266 PetscCall(MatDestroy(&H));
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266 PetscCall(DSSolve(nep->ds,nep->eigr,nep->eigi));
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266 PetscCall(NEPDeflationReset(extop));
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266 PetscCall(VecDestroy(&u));
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266 PetscCall(VecDestroy(&r));
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266 PetscCall(VecDestroy(&delta));
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48 PetscFunctionReturn(PETSC_SUCCESS);
204 }
205
206 240 static PetscErrorCode NEPSetFromOptions_RII(NEP nep,PetscOptionItems PetscOptionsObject)
207 {
208 240 NEP_RII *ctx = (NEP_RII*)nep->data;
209 240 PetscBool flg;
210 240 PetscInt i;
211 240 PetscReal r;
212
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240 PetscFunctionBegin;
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240 PetscOptionsHeadBegin(PetscOptionsObject,"NEP RII Options");
215
216 240 i = 0;
217
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240 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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240 if (flg) PetscCall(NEPRIISetMaximumIterations(nep,i));
219
220
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240 PetscCall(PetscOptionsBool("-nep_rii_const_correction_tol","Constant correction tolerance for the linear solver","NEPRIISetConstCorrectionTol",ctx->cctol,&ctx->cctol,NULL));
221
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240 PetscCall(PetscOptionsBool("-nep_rii_hermitian","Use Hermitian version of the scalar nonlinear equation","NEPRIISetHermitian",ctx->herm,&ctx->herm,NULL));
223
224 240 i = 0;
225
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240 PetscCall(PetscOptionsInt("-nep_rii_lag_preconditioner","Interval to rebuild preconditioner","NEPRIISetLagPreconditioner",ctx->lag,&i,&flg));
226
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240 if (flg) PetscCall(NEPRIISetLagPreconditioner(nep,i));
227
228 240 r = 0.0;
229
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240 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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240 if (flg) PetscCall(NEPRIISetDeflationThreshold(nep,r));
231
232
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240 PetscOptionsHeadEnd();
233
234
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240 if (!ctx->ksp) PetscCall(NEPRIIGetKSP(nep,&ctx->ksp));
235
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240 PetscCall(KSPSetFromOptions(ctx->ksp));
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40 PetscFunctionReturn(PETSC_SUCCESS);
237 }
238
239 10 static PetscErrorCode NEPRIISetMaximumIterations_RII(NEP nep,PetscInt its)
240 {
241 10 NEP_RII *ctx = (NEP_RII*)nep->data;
242
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10 PetscFunctionBegin;
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10 if (its==PETSC_DEFAULT || its==PETSC_DECIDE) ctx->max_inner_it = 10;
245 else {
246
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10 PetscCheck(its>0,PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Number of iterations must be >0");
247 10 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 - nonlinear eigenvalue solver
261 - its - maximum inner iterations
262
263 Level: advanced
264
265 .seealso: NEPRIIGetMaximumIterations()
266 @*/
267 10 PetscErrorCode NEPRIISetMaximumIterations(NEP nep,PetscInt its)
268 {
269
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10 PetscFunctionBegin;
270
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10 PetscValidHeaderSpecific(nep,NEP_CLASSID,1);
271
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10 PetscValidLogicalCollectiveInt(nep,its,2);
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10 PetscTryMethod(nep,"NEPRIISetMaximumIterations_C",(NEP,PetscInt),(nep,its));
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10 PetscFunctionReturn(PETSC_SUCCESS);
274 }
275
276 10 static PetscErrorCode NEPRIIGetMaximumIterations_RII(NEP nep,PetscInt *its)
277 {
278 10 NEP_RII *ctx = (NEP_RII*)nep->data;
279
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10 PetscFunctionBegin;
281 10 *its = ctx->max_inner_it;
282
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10 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 - nonlinear eigenvalue solver
292
293 Output Parameter:
294 . its - maximum inner iterations
295
296 Level: advanced
297
298 .seealso: NEPRIISetMaximumIterations()
299 @*/
300 10 PetscErrorCode NEPRIIGetMaximumIterations(NEP nep,PetscInt *its)
301 {
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10 PetscFunctionBegin;
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10 PetscValidHeaderSpecific(nep,NEP_CLASSID,1);
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10 PetscAssertPointer(its,2);
305
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10 PetscUseMethod(nep,"NEPRIIGetMaximumIterations_C",(NEP,PetscInt*),(nep,its));
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10 PetscFunctionReturn(PETSC_SUCCESS);
307 }
308
309 70 static PetscErrorCode NEPRIISetLagPreconditioner_RII(NEP nep,PetscInt lag)
310 {
311 70 NEP_RII *ctx = (NEP_RII*)nep->data;
312
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70 PetscFunctionBegin;
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70 PetscCheck(lag>=0,PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Lag must be non-negative");
315 70 ctx->lag = lag;
316
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70 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 - nonlinear eigenvalue solver
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 Keys:
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: NEPRIIGetLagPreconditioner()
341 @*/
342 239 PetscErrorCode NEPRIISetLagPreconditioner(NEP nep,PetscInt lag)
343 {
344
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239 PetscFunctionBegin;
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239 PetscValidHeaderSpecific(nep,NEP_CLASSID,1);
346
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239 PetscValidLogicalCollectiveInt(nep,lag,2);
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239 PetscTryMethod(nep,"NEPRIISetLagPreconditioner_C",(NEP,PetscInt),(nep,lag));
348
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239 PetscFunctionReturn(PETSC_SUCCESS);
349 }
350
351 10 static PetscErrorCode NEPRIIGetLagPreconditioner_RII(NEP nep,PetscInt *lag)
352 {
353 10 NEP_RII *ctx = (NEP_RII*)nep->data;
354
355
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10 PetscFunctionBegin;
356 10 *lag = ctx->lag;
357
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10 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 - nonlinear eigenvalue solver
367
368 Output Parameter:
369 . lag - the lag parameter
370
371 Level: intermediate
372
373 .seealso: NEPRIISetLagPreconditioner()
374 @*/
375 10 PetscErrorCode NEPRIIGetLagPreconditioner(NEP nep,PetscInt *lag)
376 {
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10 PetscFunctionBegin;
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10 PetscValidHeaderSpecific(nep,NEP_CLASSID,1);
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10 PetscAssertPointer(lag,2);
380
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10 PetscUseMethod(nep,"NEPRIIGetLagPreconditioner_C",(NEP,PetscInt*),(nep,lag));
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10 PetscFunctionReturn(PETSC_SUCCESS);
382 }
383
384 10 static PetscErrorCode NEPRIISetConstCorrectionTol_RII(NEP nep,PetscBool cct)
385 {
386 10 NEP_RII *ctx = (NEP_RII*)nep->data;
387
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10 PetscFunctionBegin;
389 10 ctx->cctol = cct;
390
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10 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 - nonlinear eigenvalue solver
401 - cct - a boolean value
402
403 Options Database Keys:
404 . -nep_rii_const_correction_tol <bool> - set the boolean flag
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 behaviour.
411
412 Level: intermediate
413
414 .seealso: NEPRIIGetConstCorrectionTol()
415 @*/
416 10 PetscErrorCode NEPRIISetConstCorrectionTol(NEP nep,PetscBool cct)
417 {
418
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10 PetscFunctionBegin;
419
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10 PetscValidHeaderSpecific(nep,NEP_CLASSID,1);
420
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10 PetscValidLogicalCollectiveBool(nep,cct,2);
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10 PetscTryMethod(nep,"NEPRIISetConstCorrectionTol_C",(NEP,PetscBool),(nep,cct));
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10 PetscFunctionReturn(PETSC_SUCCESS);
423 }
424
425 10 static PetscErrorCode NEPRIIGetConstCorrectionTol_RII(NEP nep,PetscBool *cct)
426 {
427 10 NEP_RII *ctx = (NEP_RII*)nep->data;
428
429
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10 PetscFunctionBegin;
430 10 *cct = ctx->cctol;
431
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10 PetscFunctionReturn(PETSC_SUCCESS);
432 }
433
434 /*@
435 NEPRIIGetConstCorrectionTol - Returns the constant tolerance flag.
436
437 Not Collective
438
439 Input Parameter:
440 . nep - nonlinear eigenvalue solver
441
442 Output Parameter:
443 . cct - the value of the constant tolerance flag
444
445 Level: intermediate
446
447 .seealso: NEPRIISetConstCorrectionTol()
448 @*/
449 10 PetscErrorCode NEPRIIGetConstCorrectionTol(NEP nep,PetscBool *cct)
450 {
451
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10 PetscFunctionBegin;
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10 PetscValidHeaderSpecific(nep,NEP_CLASSID,1);
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10 PetscAssertPointer(cct,2);
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10 PetscUseMethod(nep,"NEPRIIGetConstCorrectionTol_C",(NEP,PetscBool*),(nep,cct));
455
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10 PetscFunctionReturn(PETSC_SUCCESS);
456 }
457
458 10 static PetscErrorCode NEPRIISetHermitian_RII(NEP nep,PetscBool herm)
459 {
460 10 NEP_RII *ctx = (NEP_RII*)nep->data;
461
462
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10 PetscFunctionBegin;
463 10 ctx->herm = herm;
464
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10 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 - nonlinear eigenvalue solver
475 - herm - a boolean value
476
477 Options Database Keys:
478 . -nep_rii_hermitian <bool> - set the boolean flag
479
480 Notes:
481 By default, the scalar nonlinear equation x'*inv(T(sigma))*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: NEPRIIGetHermitian()
489 @*/
490 10 PetscErrorCode NEPRIISetHermitian(NEP nep,PetscBool herm)
491 {
492
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10 PetscFunctionBegin;
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10 PetscValidHeaderSpecific(nep,NEP_CLASSID,1);
494
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10 PetscValidLogicalCollectiveBool(nep,herm,2);
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10 PetscTryMethod(nep,"NEPRIISetHermitian_C",(NEP,PetscBool),(nep,herm));
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10 PetscFunctionReturn(PETSC_SUCCESS);
497 }
498
499 10 static PetscErrorCode NEPRIIGetHermitian_RII(NEP nep,PetscBool *herm)
500 {
501 10 NEP_RII *ctx = (NEP_RII*)nep->data;
502
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10 PetscFunctionBegin;
504 10 *herm = ctx->herm;
505
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10 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 - nonlinear eigenvalue solver
516
517 Output Parameter:
518 . herm - the value of the hermitian flag
519
520 Level: intermediate
521
522 .seealso: NEPRIISetHermitian()
523 @*/
524 10 PetscErrorCode NEPRIIGetHermitian(NEP nep,PetscBool *herm)
525 {
526
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10 PetscFunctionBegin;
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10 PetscValidHeaderSpecific(nep,NEP_CLASSID,1);
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10 PetscAssertPointer(herm,2);
529
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10 PetscUseMethod(nep,"NEPRIIGetHermitian_C",(NEP,PetscBool*),(nep,herm));
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10 PetscFunctionReturn(PETSC_SUCCESS);
531 }
532
533 20 static PetscErrorCode NEPRIISetDeflationThreshold_RII(NEP nep,PetscReal deftol)
534 {
535 20 NEP_RII *ctx = (NEP_RII*)nep->data;
536
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20 PetscFunctionBegin;
538 20 ctx->deftol = deftol;
539
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20 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 - nonlinear eigenvalue solver
550 - deftol - the threshold value
551
552 Options Database Keys:
553 . -nep_rii_deflation_threshold <deftol> - set the threshold
554
555 Notes:
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: NEPRIIGetDeflationThreshold()
566 @*/
567 20 PetscErrorCode NEPRIISetDeflationThreshold(NEP nep,PetscReal deftol)
568 {
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20 PetscFunctionBegin;
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20 PetscValidHeaderSpecific(nep,NEP_CLASSID,1);
571
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20 PetscValidLogicalCollectiveReal(nep,deftol,2);
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20 PetscTryMethod(nep,"NEPRIISetDeflationThreshold_C",(NEP,PetscReal),(nep,deftol));
573
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20 PetscFunctionReturn(PETSC_SUCCESS);
574 }
575
576 10 static PetscErrorCode NEPRIIGetDeflationThreshold_RII(NEP nep,PetscReal *deftol)
577 {
578 10 NEP_RII *ctx = (NEP_RII*)nep->data;
579
580
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10 PetscFunctionBegin;
581 10 *deftol = ctx->deftol;
582
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10 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 - nonlinear eigenvalue solver
592
593 Output Parameter:
594 . deftol - the threshold
595
596 Level: advanced
597
598 .seealso: NEPRIISetDeflationThreshold()
599 @*/
600 10 PetscErrorCode NEPRIIGetDeflationThreshold(NEP nep,PetscReal *deftol)
601 {
602
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10 PetscFunctionBegin;
603
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10 PetscValidHeaderSpecific(nep,NEP_CLASSID,1);
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10 PetscAssertPointer(deftol,2);
605
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10 PetscUseMethod(nep,"NEPRIIGetDeflationThreshold_C",(NEP,PetscReal*),(nep,deftol));
606
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10 PetscFunctionReturn(PETSC_SUCCESS);
607 }
608
609 10 static PetscErrorCode NEPRIISetKSP_RII(NEP nep,KSP ksp)
610 {
611 10 NEP_RII *ctx = (NEP_RII*)nep->data;
612
613
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10 PetscFunctionBegin;
614
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10 PetscCall(PetscObjectReference((PetscObject)ksp));
615
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10 PetscCall(KSPDestroy(&ctx->ksp));
616 10 ctx->ksp = ksp;
617 10 nep->state = NEP_STATE_INITIAL;
618
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10 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 - eigenvalue solver
629 - ksp - the linear solver object
630
631 Level: advanced
632
633 .seealso: NEPRIIGetKSP()
634 @*/
635 10 PetscErrorCode NEPRIISetKSP(NEP nep,KSP ksp)
636 {
637
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10 PetscFunctionBegin;
638
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10 PetscValidHeaderSpecific(nep,NEP_CLASSID,1);
639
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10 PetscValidHeaderSpecific(ksp,KSP_CLASSID,2);
640
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10 PetscCheckSameComm(nep,1,ksp,2);
641
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10 PetscTryMethod(nep,"NEPRIISetKSP_C",(NEP,KSP),(nep,ksp));
642
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10 PetscFunctionReturn(PETSC_SUCCESS);
643 }
644
645 260 static PetscErrorCode NEPRIIGetKSP_RII(NEP nep,KSP *ksp)
646 {
647 260 NEP_RII *ctx = (NEP_RII*)nep->data;
648
649
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260 PetscFunctionBegin;
650
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260 if (!ctx->ksp) {
651
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260 PetscCall(KSPCreate(PetscObjectComm((PetscObject)nep),&ctx->ksp));
652
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260 PetscCall(PetscObjectIncrementTabLevel((PetscObject)ctx->ksp,(PetscObject)nep,1));
653
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260 PetscCall(KSPSetOptionsPrefix(ctx->ksp,((PetscObject)nep)->prefix));
654
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260 PetscCall(KSPAppendOptionsPrefix(ctx->ksp,"nep_rii_"));
655
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260 PetscCall(PetscObjectSetOptions((PetscObject)ctx->ksp,((PetscObject)nep)->options));
656
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260 PetscCall(KSPSetErrorIfNotConverged(ctx->ksp,PETSC_TRUE));
657
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368 PetscCall(KSPSetTolerances(ctx->ksp,SlepcDefaultTol(nep->tol),PETSC_CURRENT,PETSC_CURRENT,PETSC_CURRENT));
658 }
659 260 *ksp = ctx->ksp;
660
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260 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 - nonlinear eigenvalue solver
671
672 Output Parameter:
673 . ksp - the linear solver object
674
675 Level: advanced
676
677 .seealso: NEPRIISetKSP()
678 @*/
679 260 PetscErrorCode NEPRIIGetKSP(NEP nep,KSP *ksp)
680 {
681
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260 PetscFunctionBegin;
682
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260 PetscValidHeaderSpecific(nep,NEP_CLASSID,1);
683
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260 PetscAssertPointer(ksp,2);
684
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260 PetscUseMethod(nep,"NEPRIIGetKSP_C",(NEP,KSP*),(nep,ksp));
685
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260 PetscFunctionReturn(PETSC_SUCCESS);
686 }
687
688 10 static PetscErrorCode NEPView_RII(NEP nep,PetscViewer viewer)
689 {
690 10 NEP_RII *ctx = (NEP_RII*)nep->data;
691 10 PetscBool isascii;
692
693
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10 PetscFunctionBegin;
694
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10 PetscCall(PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&isascii));
695
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10 if (isascii) {
696
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10 PetscCall(PetscViewerASCIIPrintf(viewer," maximum number of inner iterations: %" PetscInt_FMT "\n",ctx->max_inner_it));
697
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10 if (ctx->cctol) PetscCall(PetscViewerASCIIPrintf(viewer," using a constant tolerance for the linear solver\n"));
698
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10 if (ctx->herm) PetscCall(PetscViewerASCIIPrintf(viewer," using the Hermitian version of the scalar nonlinear equation\n"));
699
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10 if (ctx->lag) PetscCall(PetscViewerASCIIPrintf(viewer," updating the preconditioner every %" PetscInt_FMT " iterations\n",ctx->lag));
700
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10 if (ctx->deftol) PetscCall(PetscViewerASCIIPrintf(viewer," deflation threshold: %g\n",(double)ctx->deftol));
701
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10 if (!ctx->ksp) PetscCall(NEPRIIGetKSP(nep,&ctx->ksp));
702
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10 PetscCall(PetscViewerASCIIPushTab(viewer));
703
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10 PetscCall(KSPView(ctx->ksp,viewer));
704
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10 PetscCall(PetscViewerASCIIPopTab(viewer));
705 }
706
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2 PetscFunctionReturn(PETSC_SUCCESS);
707 }
708
709 280 static PetscErrorCode NEPReset_RII(NEP nep)
710 {
711 280 NEP_RII *ctx = (NEP_RII*)nep->data;
712
713
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280 PetscFunctionBegin;
714
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280 PetscCall(KSPReset(ctx->ksp));
715
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48 PetscFunctionReturn(PETSC_SUCCESS);
716 }
717
718 270 static PetscErrorCode NEPDestroy_RII(NEP nep)
719 {
720 270 NEP_RII *ctx = (NEP_RII*)nep->data;
721
722
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270 PetscFunctionBegin;
723
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270 PetscCall(KSPDestroy(&ctx->ksp));
724
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270 PetscCall(PetscFree(nep->data));
725
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270 PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPRIISetMaximumIterations_C",NULL));
726
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270 PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPRIIGetMaximumIterations_C",NULL));
727
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270 PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPRIISetLagPreconditioner_C",NULL));
728
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270 PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPRIIGetLagPreconditioner_C",NULL));
729
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270 PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPRIISetConstCorrectionTol_C",NULL));
730
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270 PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPRIIGetConstCorrectionTol_C",NULL));
731
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270 PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPRIISetHermitian_C",NULL));
732
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270 PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPRIIGetHermitian_C",NULL));
733
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270 PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPRIISetDeflationThreshold_C",NULL));
734
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270 PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPRIIGetDeflationThreshold_C",NULL));
735
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270 PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPRIISetKSP_C",NULL));
736
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270 PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPRIIGetKSP_C",NULL));
737
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46 PetscFunctionReturn(PETSC_SUCCESS);
738 }
739
740 270 SLEPC_EXTERN PetscErrorCode NEPCreate_RII(NEP nep)
741 {
742 270 NEP_RII *ctx;
743
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270 PetscFunctionBegin;
745
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270 PetscCall(PetscNew(&ctx));
746 270 nep->data = (void*)ctx;
747 270 ctx->max_inner_it = 10;
748 270 ctx->lag = 1;
749 270 ctx->cctol = PETSC_FALSE;
750 270 ctx->herm = PETSC_FALSE;
751 270 ctx->deftol = 0.0;
752
753 270 nep->useds = PETSC_TRUE;
754
755 270 nep->ops->solve = NEPSolve_RII;
756 270 nep->ops->setup = NEPSetUp_RII;
757 270 nep->ops->setfromoptions = NEPSetFromOptions_RII;
758 270 nep->ops->reset = NEPReset_RII;
759 270 nep->ops->destroy = NEPDestroy_RII;
760 270 nep->ops->view = NEPView_RII;
761 270 nep->ops->computevectors = NEPComputeVectors_Schur;
762
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270 PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPRIISetMaximumIterations_C",NEPRIISetMaximumIterations_RII));
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270 PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPRIIGetMaximumIterations_C",NEPRIIGetMaximumIterations_RII));
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270 PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPRIISetLagPreconditioner_C",NEPRIISetLagPreconditioner_RII));
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270 PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPRIIGetLagPreconditioner_C",NEPRIIGetLagPreconditioner_RII));
767
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270 PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPRIISetConstCorrectionTol_C",NEPRIISetConstCorrectionTol_RII));
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270 PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPRIIGetConstCorrectionTol_C",NEPRIIGetConstCorrectionTol_RII));
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270 PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPRIISetHermitian_C",NEPRIISetHermitian_RII));
770
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270 PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPRIIGetHermitian_C",NEPRIIGetHermitian_RII));
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270 PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPRIISetDeflationThreshold_C",NEPRIISetDeflationThreshold_RII));
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270 PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPRIIGetDeflationThreshold_C",NEPRIIGetDeflationThreshold_RII));
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270 PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPRIISetKSP_C",NEPRIISetKSP_RII));
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270 PetscCall(PetscObjectComposeFunction((PetscObject)nep,"NEPRIIGetKSP_C",NEPRIIGetKSP_RII));
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46 PetscFunctionReturn(PETSC_SUCCESS);
776 }
777