Actual source code: snesngmres.c

petsc-3.6.0 2015-06-09
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  1: #include <../src/snes/impls/ngmres/snesngmres.h> /*I "petscsnes.h" I*/
  2: #include <petscblaslapack.h>

  4: const char *const SNESNGMRESRestartTypes[] = {"NONE","PERIODIC","DIFFERENCE","SNESNGMRESRestartType","SNES_NGMRES_RESTART_",0};
  5: const char *const SNESNGMRESSelectTypes[] = {"NONE","DIFFERENCE","LINESEARCH","SNESNGMRESSelectType","SNES_NGMRES_SELECT_",0};

  9: PetscErrorCode SNESReset_NGMRES(SNES snes)
 10: {
 11:   SNES_NGMRES    *ngmres = (SNES_NGMRES*) snes->data;

 15:   VecDestroyVecs(ngmres->msize,&ngmres->Fdot);
 16:   VecDestroyVecs(ngmres->msize,&ngmres->Xdot);
 17:   SNESLineSearchDestroy(&ngmres->additive_linesearch);
 18:   return(0);
 19: }

 23: PetscErrorCode SNESDestroy_NGMRES(SNES snes)
 24: {
 26:   SNES_NGMRES    *ngmres = (SNES_NGMRES*)snes->data;

 29:   SNESReset_NGMRES(snes);
 30:   PetscFree5(ngmres->h,ngmres->beta,ngmres->xi,ngmres->fnorms,ngmres->q);
 31:   PetscFree(ngmres->s);
 32:   PetscFree(ngmres->xnorms);
 33: #if PETSC_USE_COMPLEX
 34:   PetscFree(ngmres->rwork);
 35: #endif
 36:   PetscFree(ngmres->work);
 37:   PetscFree(snes->data);
 38:   return(0);
 39: }

 43: PetscErrorCode SNESSetUp_NGMRES(SNES snes)
 44: {
 45:   SNES_NGMRES    *ngmres = (SNES_NGMRES*) snes->data;
 46:   const char     *optionsprefix;
 47:   PetscInt       msize,hsize;

 51:   if (snes->pc && snes->pcside == PC_LEFT && snes->functype == SNES_FUNCTION_UNPRECONDITIONED) {
 52:     SETERRQ(PetscObjectComm((PetscObject)snes),PETSC_ERR_ARG_WRONGSTATE,"SNESNGMRES does not support left preconditioning with unpreconditioned function");
 53:   }
 54:   if (snes->pcside == PC_LEFT && snes->functype == SNES_FUNCTION_DEFAULT) snes->functype = SNES_FUNCTION_PRECONDITIONED;
 55:   SNESSetWorkVecs(snes,5);
 56:   if (!ngmres->Xdot) {VecDuplicateVecs(snes->vec_sol,ngmres->msize,&ngmres->Xdot);}
 57:   if (!ngmres->Fdot) {VecDuplicateVecs(snes->vec_sol,ngmres->msize,&ngmres->Fdot);}
 58:   if (!ngmres->setup_called) {
 59:     msize = ngmres->msize;          /* restart size */
 60:     hsize = msize * msize;

 62:     /* explicit least squares minimization solve */
 63:     PetscMalloc5(hsize,&ngmres->h, msize,&ngmres->beta, msize,&ngmres->xi, msize,&ngmres->fnorms, hsize,&ngmres->q);
 64:     PetscMalloc1(msize,&ngmres->xnorms);
 65:     ngmres->nrhs  = 1;
 66:     ngmres->lda   = msize;
 67:     ngmres->ldb   = msize;
 68:     PetscMalloc1(msize,&ngmres->s);
 69:     PetscMemzero(ngmres->h,   hsize*sizeof(PetscScalar));
 70:     PetscMemzero(ngmres->q,   hsize*sizeof(PetscScalar));
 71:     PetscMemzero(ngmres->xi,  msize*sizeof(PetscScalar));
 72:     PetscMemzero(ngmres->beta,msize*sizeof(PetscScalar));
 73:     ngmres->lwork = 12*msize;
 74: #if PETSC_USE_COMPLEX
 75:     PetscMalloc1(ngmres->lwork,&ngmres->rwork);
 76: #endif
 77:     PetscMalloc1(ngmres->lwork,&ngmres->work);
 78:   }

 80:   /* linesearch setup */
 81:   SNESGetOptionsPrefix(snes,&optionsprefix);

 83:   if (ngmres->select_type == SNES_NGMRES_SELECT_LINESEARCH) {
 84:     SNESLineSearchCreate(PetscObjectComm((PetscObject)snes),&ngmres->additive_linesearch);
 85:     SNESLineSearchSetSNES(ngmres->additive_linesearch,snes);
 86:     SNESLineSearchSetType(ngmres->additive_linesearch,SNESLINESEARCHL2);
 87:     SNESLineSearchAppendOptionsPrefix(ngmres->additive_linesearch,"additive_");
 88:     SNESLineSearchAppendOptionsPrefix(ngmres->additive_linesearch,optionsprefix);
 89:     SNESLineSearchSetFromOptions(ngmres->additive_linesearch);
 90:   }

 92:   ngmres->setup_called = PETSC_TRUE;
 93:   return(0);
 94: }

 98: PetscErrorCode SNESSetFromOptions_NGMRES(PetscOptions *PetscOptionsObject,SNES snes)
 99: {
100:   SNES_NGMRES    *ngmres = (SNES_NGMRES*) snes->data;
102:   PetscBool      debug = PETSC_FALSE;
103:   SNESLineSearch linesearch;

106:   PetscOptionsHead(PetscOptionsObject,"SNES NGMRES options");
107:   PetscOptionsEnum("-snes_ngmres_select_type","Select type","SNESNGMRESSetSelectType",SNESNGMRESSelectTypes,
108:                           (PetscEnum)ngmres->select_type,(PetscEnum*)&ngmres->select_type,NULL);
109:   PetscOptionsEnum("-snes_ngmres_restart_type","Restart type","SNESNGMRESSetRestartType",SNESNGMRESRestartTypes,
110:                           (PetscEnum)ngmres->restart_type,(PetscEnum*)&ngmres->restart_type,NULL);
111:   PetscOptionsBool("-snes_ngmres_candidate", "Use candidate storage",              "SNES",ngmres->candidate,&ngmres->candidate,NULL);
112:   PetscOptionsBool("-snes_ngmres_approxfunc","Linearly approximate the function", "SNES",ngmres->approxfunc,&ngmres->approxfunc,NULL);
113:   PetscOptionsInt("-snes_ngmres_m",          "Number of directions",               "SNES",ngmres->msize,&ngmres->msize,NULL);
114:   PetscOptionsInt("-snes_ngmres_restart",    "Iterations before forced restart",   "SNES",ngmres->restart_periodic,&ngmres->restart_periodic,NULL);
115:   PetscOptionsInt("-snes_ngmres_restart_it", "Tolerance iterations before restart","SNES",ngmres->restart_it,&ngmres->restart_it,NULL);
116:   PetscOptionsBool("-snes_ngmres_monitor",   "Monitor actions of NGMRES",          "SNES",ngmres->monitor ? PETSC_TRUE : PETSC_FALSE,&debug,NULL);
117:   if (debug) {
118:     ngmres->monitor = PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)snes));
119:   }
120:   PetscOptionsReal("-snes_ngmres_gammaA",    "Residual selection constant",   "SNES",ngmres->gammaA,&ngmres->gammaA,NULL);
121:   PetscOptionsReal("-snes_ngmres_gammaC",    "Residual restart constant",     "SNES",ngmres->gammaC,&ngmres->gammaC,NULL);
122:   PetscOptionsReal("-snes_ngmres_epsilonB",  "Difference selection constant", "SNES",ngmres->epsilonB,&ngmres->epsilonB,NULL);
123:   PetscOptionsReal("-snes_ngmres_deltaB",    "Difference residual selection constant", "SNES",ngmres->deltaB,&ngmres->deltaB,NULL);
124:   PetscOptionsBool("-snes_ngmres_single_reduction", "Aggregate reductions",  "SNES",ngmres->singlereduction,&ngmres->singlereduction,NULL);
125:   PetscOptionsTail();
126:   if ((ngmres->gammaA > ngmres->gammaC) && (ngmres->gammaC > 2.)) ngmres->gammaC = ngmres->gammaA;

128:   /* set the default type of the line search if the user hasn't already. */
129:   if (!snes->linesearch) {
130:     SNESGetLineSearch(snes,&linesearch);
131:     SNESLineSearchSetType(linesearch,SNESLINESEARCHBASIC);
132:   }
133:   return(0);
134: }

138: PetscErrorCode SNESView_NGMRES(SNES snes,PetscViewer viewer)
139: {
140:   SNES_NGMRES    *ngmres = (SNES_NGMRES*) snes->data;
141:   PetscBool      iascii;

145:   PetscObjectTypeCompare((PetscObject) viewer,PETSCVIEWERASCII,&iascii);
146:   if (iascii) {
147:     PetscViewerASCIIPrintf(viewer,"  Number of stored past updates: %d\n", ngmres->msize);
148:     PetscViewerASCIIPrintf(viewer,"  Residual selection: gammaA=%1.0e, gammaC=%1.0e\n",ngmres->gammaA,ngmres->gammaC);
149:     PetscViewerASCIIPrintf(viewer,"  Difference restart: epsilonB=%1.0e, deltaB=%1.0e\n",ngmres->epsilonB,ngmres->deltaB);
150:   }
151:   return(0);
152: }

156: PetscErrorCode SNESSolve_NGMRES(SNES snes)
157: {
158:   SNES_NGMRES          *ngmres = (SNES_NGMRES*) snes->data;
159:   /* present solution, residual, and preconditioned residual */
160:   Vec                  X,F,B,D,Y;

162:   /* candidate linear combination answers */
163:   Vec                  XA,FA,XM,FM;

165:   /* coefficients and RHS to the minimization problem */
166:   PetscReal            fnorm,fMnorm,fAnorm;
167:   PetscReal            xnorm,xMnorm,xAnorm;
168:   PetscReal            ynorm,yMnorm,yAnorm;
169:   PetscInt             k,k_restart,l,ivec,restart_count = 0;

171:   /* solution selection data */
172:   PetscBool            selectRestart;
173:   PetscReal            dnorm,dminnorm = 0.0;
174:   PetscReal            fminnorm;

176:   SNESConvergedReason  reason;
177:   SNESLineSearchReason lssucceed;
178:   PetscErrorCode       ierr;


182:   if (snes->xl || snes->xu || snes->ops->computevariablebounds) {
183:     SETERRQ1(PetscObjectComm((PetscObject)snes),PETSC_ERR_ARG_WRONGSTATE, "SNES solver %s does not support bounds", ((PetscObject)snes)->type_name);
184:   }

186:   PetscCitationsRegister(SNESCitation,&SNEScite);
187:   /* variable initialization */
188:   snes->reason = SNES_CONVERGED_ITERATING;
189:   X            = snes->vec_sol;
190:   F            = snes->vec_func;
191:   B            = snes->vec_rhs;
192:   XA           = snes->vec_sol_update;
193:   FA           = snes->work[0];
194:   D            = snes->work[1];

196:   /* work for the line search */
197:   Y  = snes->work[2];
198:   XM = snes->work[3];
199:   FM = snes->work[4];

201:   PetscObjectSAWsTakeAccess((PetscObject)snes);
202:   snes->iter = 0;
203:   snes->norm = 0.;
204:   PetscObjectSAWsGrantAccess((PetscObject)snes);

206:   /* initialization */

208:   if (snes->pc && snes->pcside == PC_LEFT) {
209:     SNESApplyNPC(snes,X,NULL,F);
210:     SNESGetConvergedReason(snes->pc,&reason);
211:     if (reason < 0  && reason != SNES_DIVERGED_MAX_IT) {
212:       snes->reason = SNES_DIVERGED_INNER;
213:       return(0);
214:     }
215:     VecNorm(F,NORM_2,&fnorm);
216:   } else {
217:     if (!snes->vec_func_init_set) {
218:       SNESComputeFunction(snes,X,F);
219:     } else snes->vec_func_init_set = PETSC_FALSE;

221:     VecNorm(F,NORM_2,&fnorm);
222:     SNESCheckFunctionNorm(snes,fnorm);
223:   }
224:   fminnorm = fnorm;

226:   PetscObjectSAWsTakeAccess((PetscObject)snes);
227:   snes->norm = fnorm;
228:   PetscObjectSAWsGrantAccess((PetscObject)snes);
229:   SNESLogConvergenceHistory(snes,fnorm,0);
230:   SNESMonitor(snes,0,fnorm);
231:   (*snes->ops->converged)(snes,0,0.0,0.0,fnorm,&snes->reason,snes->cnvP);
232:   if (snes->reason) return(0);
233:   SNESNGMRESUpdateSubspace_Private(snes,0,0,F,fnorm,X);

235:   k_restart = 1;
236:   l         = 1;
237:   ivec      = 0;
238:   for (k=1; k < snes->max_its+1; k++) {
239:     /* Computation of x^M */
240:     if (snes->pc && snes->pcside == PC_RIGHT) {
241:       VecCopy(X,XM);
242:       SNESSetInitialFunction(snes->pc,F);

244:       PetscLogEventBegin(SNES_NPCSolve,snes->pc,XM,B,0);
245:       SNESSolve(snes->pc,B,XM);
246:       PetscLogEventEnd(SNES_NPCSolve,snes->pc,XM,B,0);

248:       SNESGetConvergedReason(snes->pc,&reason);
249:       if (reason < 0 && reason != SNES_DIVERGED_MAX_IT) {
250:         snes->reason = SNES_DIVERGED_INNER;
251:         return(0);
252:       }
253:       SNESGetNPCFunction(snes,FM,&fMnorm);
254:     } else {
255:       /* no preconditioner -- just take gradient descent with line search */
256:       VecCopy(F,Y);
257:       VecCopy(F,FM);
258:       VecCopy(X,XM);

260:       fMnorm = fnorm;

262:       SNESLineSearchApply(snes->linesearch,XM,FM,&fMnorm,Y);
263:       SNESLineSearchGetReason(snes->linesearch,&lssucceed);
264:       if (lssucceed) {
265:         if (++snes->numFailures >= snes->maxFailures) {
266:           snes->reason = SNES_DIVERGED_LINE_SEARCH;
267:           return(0);
268:         }
269:       }
270:     }
271:     SNESNGMRESFormCombinedSolution_Private(snes,ivec,l,XM,FM,fMnorm,X,XA,FA);
272:     /* r = F(x) */
273:     if (fminnorm > fMnorm) fminnorm = fMnorm;  /* the minimum norm is now of F^M */

275:     /* differences for selection and restart */
276:     if (ngmres->restart_type == SNES_NGMRES_RESTART_DIFFERENCE || ngmres->select_type == SNES_NGMRES_SELECT_DIFFERENCE) {
277:       SNESNGMRESNorms_Private(snes,l,X,F,XM,FM,XA,FA,D,&dnorm,&dminnorm,&xMnorm,NULL,&yMnorm,&xAnorm,&fAnorm,&yAnorm);
278:     } else {
279:       SNESNGMRESNorms_Private(snes,l,X,F,XM,FM,XA,FA,D,NULL,NULL,&xMnorm,NULL,&yMnorm,&xAnorm,&fAnorm,&yAnorm);
280:     }
281:     SNESCheckFunctionNorm(snes,fnorm);

283:     /* combination (additive) or selection (multiplicative) of the N-GMRES solution */
284:     SNESNGMRESSelect_Private(snes,k_restart,XM,FM,xMnorm,fMnorm,yMnorm,XA,FA,xAnorm,fAnorm,yAnorm,dnorm,fminnorm,dminnorm,X,F,Y,&xnorm,&fnorm,&ynorm);
285:     selectRestart = PETSC_FALSE;
286:     if (ngmres->restart_type == SNES_NGMRES_RESTART_DIFFERENCE) {
287:       SNESNGMRESSelectRestart_Private(snes,l,fAnorm,dnorm,fminnorm,dminnorm,&selectRestart);
288:       /* if the restart conditions persist for more than restart_it iterations, restart. */
289:       if (selectRestart) restart_count++;
290:       else restart_count = 0;
291:     } else if (ngmres->restart_type == SNES_NGMRES_RESTART_PERIODIC) {
292:       if (k_restart > ngmres->restart_periodic) {
293:         if (ngmres->monitor) PetscViewerASCIIPrintf(ngmres->monitor,"periodic restart after %D iterations\n",k_restart);
294:         restart_count = ngmres->restart_it;
295:       }
296:     }
297:     ivec = k_restart % ngmres->msize; /* replace the last used part of the subspace */
298:     /* restart after restart conditions have persisted for a fixed number of iterations */
299:     if (restart_count >= ngmres->restart_it) {
300:       if (ngmres->monitor) {
301:         PetscViewerASCIIPrintf(ngmres->monitor,"Restarted at iteration %d\n",k_restart);
302:       }
303:       restart_count = 0;
304:       k_restart     = 1;
305:       l             = 1;
306:       ivec          = 0;
307:       /* q_{00} = nu */
308:       SNESNGMRESUpdateSubspace_Private(snes,0,0,FM,fMnorm,XM);
309:     } else {
310:       /* select the current size of the subspace */
311:       if (l < ngmres->msize) l++;
312:       k_restart++;
313:       /* place the current entry in the list of previous entries */
314:       if (ngmres->candidate) {
315:         if (fminnorm > fMnorm) fminnorm = fMnorm;
316:         SNESNGMRESUpdateSubspace_Private(snes,ivec,l,FM,fMnorm,XM);
317:       } else {
318:         if (fminnorm > fnorm) fminnorm = fnorm;
319:         SNESNGMRESUpdateSubspace_Private(snes,ivec,l,F,fnorm,X);
320:       }
321:     }

323:     PetscObjectSAWsTakeAccess((PetscObject)snes);
324:     snes->iter = k;
325:     snes->norm = fnorm;
326:     PetscObjectSAWsGrantAccess((PetscObject)snes);
327:     SNESLogConvergenceHistory(snes,snes->norm,snes->iter);
328:     SNESMonitor(snes,snes->iter,snes->norm);
329:     (*snes->ops->converged)(snes,snes->iter,0,0,fnorm,&snes->reason,snes->cnvP);
330:     if (snes->reason) return(0);
331:   }
332:   snes->reason = SNES_DIVERGED_MAX_IT;
333:   return(0);
334: }

338: /*@
339:     SNESNGMRESSetRestartType - Sets the restart type for SNESNGMRES.

341:     Logically Collective on SNES

343:     Input Parameters:
344: +   snes - the iterative context
345: -   rtype - restart type

347:     Options Database:
348: +   -snes_ngmres_restart_type<difference,periodic,none> - set the restart type
349: -   -snes_ngmres_restart[30] - sets the number of iterations before restart for periodic

351:     Level: intermediate

353:     SNESNGMRESRestartTypes:
354: +   SNES_NGMRES_RESTART_NONE - never restart
355: .   SNES_NGMRES_RESTART_DIFFERENCE - restart based upon difference criteria
356: -   SNES_NGMRES_RESTART_PERIODIC - restart after a fixed number of iterations

358:     Notes:
359:     The default line search used is the L2 line search and it requires two additional function evaluations.

361: .keywords: SNES, SNESNGMRES, restart, type, set SNESLineSearch
362: @*/
363: PetscErrorCode SNESNGMRESSetRestartType(SNES snes,SNESNGMRESRestartType rtype)
364: {

369:   PetscTryMethod(snes,"SNESNGMRESSetRestartType_C",(SNES,SNESNGMRESRestartType),(snes,rtype));
370:   return(0);
371: }

375: /*@
376:     SNESNGMRESSetSelectType - Sets the selection type for SNESNGMRES.  This determines how the candidate solution and
377:     combined solution are used to create the next iterate.

379:     Logically Collective on SNES

381:     Input Parameters:
382: +   snes - the iterative context
383: -   stype - selection type

385:     Options Database:
386: .   -snes_ngmres_select_type<difference,none,linesearch>

388:     Level: intermediate

390:     SNESNGMRESSelectTypes:
391: +   SNES_NGMRES_SELECT_NONE - choose the combined solution all the time
392: .   SNES_NGMRES_SELECT_DIFFERENCE - choose based upon the selection criteria
393: -   SNES_NGMRES_SELECT_LINESEARCH - choose based upon line search combination

395:     Notes:
396:     The default line search used is the L2 line search and it requires two additional function evaluations.

398: .keywords: SNES, SNESNGMRES, selection, type, set SNESLineSearch
399: @*/
400: PetscErrorCode SNESNGMRESSetSelectType(SNES snes,SNESNGMRESSelectType stype)
401: {

406:   PetscTryMethod(snes,"SNESNGMRESSetSelectType_C",(SNES,SNESNGMRESSelectType),(snes,stype));
407:   return(0);
408: }

412: PetscErrorCode SNESNGMRESSetSelectType_NGMRES(SNES snes,SNESNGMRESSelectType stype)
413: {
414:   SNES_NGMRES *ngmres = (SNES_NGMRES*)snes->data;

417:   ngmres->select_type = stype;
418:   return(0);
419: }

423: PetscErrorCode SNESNGMRESSetRestartType_NGMRES(SNES snes,SNESNGMRESRestartType rtype)
424: {
425:   SNES_NGMRES *ngmres = (SNES_NGMRES*)snes->data;

428:   ngmres->restart_type = rtype;
429:   return(0);
430: }

432: /*MC
433:   SNESNGMRES - The Nonlinear Generalized Minimum Residual method.

435:    Level: beginner

437:    Options Database:
438: +  -snes_ngmres_select_type<difference,none,linesearch> - choose the select between candidate and combined solution
439: .  -snes_ngmres_restart_type<difference,none,periodic> - choose the restart conditions
440: .  -snes_ngmres_candidate        - Use NGMRES variant which combines candidate solutions instead of actual solutions
441: .  -snes_ngmres_m                - Number of stored previous solutions and residuals
442: .  -snes_ngmres_restart_it       - Number of iterations the restart conditions hold before restart
443: .  -snes_ngmres_gammaA           - Residual tolerance for solution select between the candidate and combination
444: .  -snes_ngmres_gammaC           - Residual tolerance for restart
445: .  -snes_ngmres_epsilonB         - Difference tolerance between subsequent solutions triggering restart
446: .  -snes_ngmres_deltaB           - Difference tolerance between residuals triggering restart
447: .  -snes_ngmres_monitor          - Prints relevant information about the ngmres iteration
448: .  -snes_linesearch_type <basic,l2,cp> - Line search type used for the default smoother
449: -  -additive_snes_linesearch_type - linesearch type used to select between the candidate and combined solution with additive select type

451:    Notes:

453:    The N-GMRES method combines m previous solutions into a minimum-residual solution by solving a small linearized
454:    optimization problem at each iteration.

456:    References:

458:    "Krylov Subspace Acceleration of Nonlinear Multigrid with Application to Recirculating Flows", C. W. Oosterlee and T. Washio,
459:    SIAM Journal on Scientific Computing, 21(5), 2000.

461: .seealso: SNESCreate(), SNES, SNESSetType(), SNESType (for list of available types)
462: M*/

466: PETSC_EXTERN PetscErrorCode SNESCreate_NGMRES(SNES snes)
467: {
468:   SNES_NGMRES    *ngmres;

472:   snes->ops->destroy        = SNESDestroy_NGMRES;
473:   snes->ops->setup          = SNESSetUp_NGMRES;
474:   snes->ops->setfromoptions = SNESSetFromOptions_NGMRES;
475:   snes->ops->view           = SNESView_NGMRES;
476:   snes->ops->solve          = SNESSolve_NGMRES;
477:   snes->ops->reset          = SNESReset_NGMRES;

479:   snes->usespc   = PETSC_TRUE;
480:   snes->usesksp  = PETSC_FALSE;
481:   snes->pcside   = PC_RIGHT;

483:   PetscNewLog(snes,&ngmres);
484:   snes->data    = (void*) ngmres;
485:   ngmres->msize = 30;

487:   if (!snes->tolerancesset) {
488:     snes->max_funcs = 30000;
489:     snes->max_its   = 10000;
490:   }

492:   ngmres->candidate = PETSC_FALSE;

494:   ngmres->additive_linesearch = NULL;
495:   ngmres->approxfunc       = PETSC_FALSE;
496:   ngmres->restart_it       = 2;
497:   ngmres->restart_periodic = 30;
498:   ngmres->gammaA           = 2.0;
499:   ngmres->gammaC           = 2.0;
500:   ngmres->deltaB           = 0.9;
501:   ngmres->epsilonB         = 0.1;

503:   ngmres->restart_type = SNES_NGMRES_RESTART_DIFFERENCE;
504:   ngmres->select_type  = SNES_NGMRES_SELECT_DIFFERENCE;

506:   PetscObjectComposeFunction((PetscObject)snes,"SNESNGMRESSetSelectType_C",SNESNGMRESSetSelectType_NGMRES);
507:   PetscObjectComposeFunction((PetscObject)snes,"SNESNGMRESSetRestartType_C",SNESNGMRESSetRestartType_NGMRES);
508:   return(0);
509: }