Actual source code: nepsolve.c
slepc-3.10.1 2018-10-23
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      1: /*
      2:    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
      3:    SLEPc - Scalable Library for Eigenvalue Problem Computations
      4:    Copyright (c) 2002-2018, Universitat Politecnica de Valencia, Spain

      6:    This file is part of SLEPc.
      7:    SLEPc is distributed under a 2-clause BSD license (see LICENSE).
      8:    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
      9: */
     10: /*
     11:    NEP routines related to the solution process
     12: */

     14: #include <slepc/private/nepimpl.h>       /*I "slepcnep.h" I*/
     15: #include <petscdraw.h>

     17: PetscErrorCode NEPComputeVectors(NEP nep)
     18: {

     22:   NEPCheckSolved(nep,1);
     23:   if (nep->state==NEP_STATE_SOLVED && nep->ops->computevectors) {
     24:     (*nep->ops->computevectors)(nep);
     25:   }
     26:   nep->state = NEP_STATE_EIGENVECTORS;
     27:   return(0);
     28: }

     30: /*@
     31:    NEPSolve - Solves the nonlinear eigensystem.

     33:    Collective on NEP

     35:    Input Parameter:
     36: .  nep - eigensolver context obtained from NEPCreate()

     38:    Options Database Keys:
     39: +  -nep_view - print information about the solver used
     40: .  -nep_view_vectors binary - save the computed eigenvectors to the default binary viewer
     41: .  -nep_view_values - print computed eigenvalues
     42: .  -nep_converged_reason - print reason for convergence, and number of iterations
     43: .  -nep_error_absolute - print absolute errors of each eigenpair
     44: -  -nep_error_relative - print relative errors of each eigenpair

     46:    Level: beginner

     48: .seealso: NEPCreate(), NEPSetUp(), NEPDestroy(), NEPSetTolerances()
     49: @*/
     50: PetscErrorCode NEPSolve(NEP nep)
     51: {
     53:   PetscInt       i;

     57:   if (nep->state>=NEP_STATE_SOLVED) return(0);
     58:   PetscLogEventBegin(NEP_Solve,nep,0,0,0);

     60:   /* call setup */
     61:   NEPSetUp(nep);
     62:   nep->nconv = 0;
     63:   nep->its = 0;
     64:   for (i=0;i<nep->ncv;i++) {
     65:     nep->eigr[i]   = 0.0;
     66:     nep->eigi[i]   = 0.0;
     67:     nep->errest[i] = 0.0;
     68:     nep->perm[i]   = i;
     69:   }
     70:   NEPViewFromOptions(nep,NULL,"-nep_view_pre");
     71:   RGViewFromOptions(nep->rg,NULL,"-rg_view");

     73:   (*nep->ops->solve)(nep);
     74:   nep->state = NEP_STATE_SOLVED;

     76:   if (!nep->reason) SETERRQ(PetscObjectComm((PetscObject)nep),PETSC_ERR_PLIB,"Internal error, solver returned without setting converged reason");

     78:   if (nep->refine==NEP_REFINE_SIMPLE && nep->rits>0 && nep->nconv>0) {
     79:     NEPComputeVectors(nep);
     80:     NEPNewtonRefinementSimple(nep,&nep->rits,nep->rtol,nep->nconv);
     81:     nep->state = NEP_STATE_EIGENVECTORS;
     82:   }

     84:   /* sort eigenvalues according to nep->which parameter */
     85:   SlepcSortEigenvalues(nep->sc,nep->nconv,nep->eigr,nep->eigi,nep->perm);
     86:   PetscLogEventEnd(NEP_Solve,nep,0,0,0);

     88:   /* various viewers */
     89:   NEPViewFromOptions(nep,NULL,"-nep_view");
     90:   NEPReasonViewFromOptions(nep);
     91:   NEPErrorViewFromOptions(nep);
     92:   NEPValuesViewFromOptions(nep);
     93:   NEPVectorsViewFromOptions(nep);

     95:   /* Remove the initial subspace */
     96:   nep->nini = 0;
     97:   return(0);
     98: }

    100: /*@
    101:    NEPProjectOperator - Computes the projection of the nonlinear operator.

    103:    Collective on NEP

    105:    Input Parameters:
    106: +  nep - the nonlinear eigensolver context
    107: .  j0  - initial index
    108: -  j1  - final index

    110:    Notes:
    111:    This is available for split operator only.

    113:    The nonlinear operator T(lambda) is projected onto span(V), where V is
    114:    an orthonormal basis built internally by the solver. The projected
    115:    operator is equal to sum_i V'*A_i*V*f_i(lambda), so this function
    116:    computes all matrices Ei = V'*A_i*V, and stores them in the extra
    117:    matrices inside DS. Only rows/columns in the range [j0,j1-1] are computed,
    118:    the previous ones are assumed to be available already.

    120:    Level: developer

    122: .seealso: NEPSetSplitOperator()
    123: @*/
    124: PetscErrorCode NEPProjectOperator(NEP nep,PetscInt j0,PetscInt j1)
    125: {
    127:   PetscInt       k;
    128:   Mat            G;

    134:   NEPCheckProblem(nep,1);
    135:   NEPCheckSplit(nep,1);
    136:   BVSetActiveColumns(nep->V,j0,j1);
    137:   for (k=0;k<nep->nt;k++) {
    138:     DSGetMat(nep->ds,DSMatExtra[k],&G);
    139:     BVMatProject(nep->V,nep->A[k],nep->V,G);
    140:     DSRestoreMat(nep->ds,DSMatExtra[k],&G);
    141:   }
    142:   return(0);
    143: }

    145: /*@
    146:    NEPApplyFunction - Applies the nonlinear function T(lambda) to a given vector.

    148:    Collective on NEP

    150:    Input Parameters:
    151: +  nep    - the nonlinear eigensolver context
    152: .  lambda - scalar argument
    153: .  x      - vector to be multiplied against
    154: -  v      - workspace vector (used only in the case of split form)

    156:    Output Parameters:
    157: +  y   - result vector
    158: .  A   - Function matrix
    159: -  B   - optional preconditioning matrix

    161:    Note:
    162:    If the nonlinear operator is represented in split form, the result
    163:    y = T(lambda)*x is computed without building T(lambda) explicitly. In
    164:    that case, parameters A and B are not used. Otherwise, the matrix
    165:    T(lambda) is built and the effect is the same as a call to
    166:    NEPComputeFunction() followed by a MatMult().

    168:    Level: developer

    170: .seealso: NEPSetSplitOperator(), NEPComputeFunction()
    171: @*/
    172: PetscErrorCode NEPApplyFunction(NEP nep,PetscScalar lambda,Vec x,Vec v,Vec y,Mat A,Mat B)
    173: {
    175:   PetscInt       i;
    176:   PetscScalar    alpha;

    187:   if (nep->fui==NEP_USER_INTERFACE_SPLIT) {
    188:     VecSet(y,0.0);
    189:     for (i=0;i<nep->nt;i++) {
    190:       FNEvaluateFunction(nep->f[i],lambda,&alpha);
    191:       MatMult(nep->A[i],x,v);
    192:       VecAXPY(y,alpha,v);
    193:     }
    194:   } else {
    195:     NEPComputeFunction(nep,lambda,A,B);
    196:     MatMult(A,x,y);
    197:   }
    198:   return(0);
    199: }

    201: /*@
    202:    NEPApplyJacobian - Applies the nonlinear Jacobian T'(lambda) to a given vector.

    204:    Collective on NEP

    206:    Input Parameters:
    207: +  nep    - the nonlinear eigensolver context
    208: .  lambda - scalar argument
    209: .  x      - vector to be multiplied against
    210: -  v      - workspace vector (used only in the case of split form)

    212:    Output Parameters:
    213: +  y   - result vector
    214: -  A   - Jacobian matrix

    216:    Note:
    217:    If the nonlinear operator is represented in split form, the result
    218:    y = T'(lambda)*x is computed without building T'(lambda) explicitly. In
    219:    that case, parameter A is not used. Otherwise, the matrix
    220:    T'(lambda) is built and the effect is the same as a call to
    221:    NEPComputeJacobian() followed by a MatMult().

    223:    Level: developer

    225: .seealso: NEPSetSplitOperator(), NEPComputeJacobian()
    226: @*/
    227: PetscErrorCode NEPApplyJacobian(NEP nep,PetscScalar lambda,Vec x,Vec v,Vec y,Mat A)
    228: {
    230:   PetscInt       i;
    231:   PetscScalar    alpha;

    241:   if (nep->fui==NEP_USER_INTERFACE_SPLIT) {
    242:     VecSet(y,0.0);
    243:     for (i=0;i<nep->nt;i++) {
    244:       FNEvaluateDerivative(nep->f[i],lambda,&alpha);
    245:       MatMult(nep->A[i],x,v);
    246:       VecAXPY(y,alpha,v);
    247:     }
    248:   } else {
    249:     NEPComputeJacobian(nep,lambda,A);
    250:     MatMult(A,x,y);
    251:   }
    252:   return(0);
    253: }

    255: /*@
    256:    NEPGetIterationNumber - Gets the current iteration number. If the
    257:    call to NEPSolve() is complete, then it returns the number of iterations
    258:    carried out by the solution method.

    260:    Not Collective

    262:    Input Parameter:
    263: .  nep - the nonlinear eigensolver context

    265:    Output Parameter:
    266: .  its - number of iterations

    268:    Note:
    269:    During the i-th iteration this call returns i-1. If NEPSolve() is
    270:    complete, then parameter "its" contains either the iteration number at
    271:    which convergence was successfully reached, or failure was detected.
    272:    Call NEPGetConvergedReason() to determine if the solver converged or
    273:    failed and why.

    275:    Level: intermediate

    277: .seealso: NEPGetConvergedReason(), NEPSetTolerances()
    278: @*/
    279: PetscErrorCode NEPGetIterationNumber(NEP nep,PetscInt *its)
    280: {
    284:   *its = nep->its;
    285:   return(0);
    286: }

    288: /*@
    289:    NEPGetConverged - Gets the number of converged eigenpairs.

    291:    Not Collective

    293:    Input Parameter:
    294: .  nep - the nonlinear eigensolver context

    296:    Output Parameter:
    297: .  nconv - number of converged eigenpairs

    299:    Note:
    300:    This function should be called after NEPSolve() has finished.

    302:    Level: beginner

    304: .seealso: NEPSetDimensions(), NEPSolve()
    305: @*/
    306: PetscErrorCode NEPGetConverged(NEP nep,PetscInt *nconv)
    307: {
    311:   NEPCheckSolved(nep,1);
    312:   *nconv = nep->nconv;
    313:   return(0);
    314: }

    316: /*@
    317:    NEPGetConvergedReason - Gets the reason why the NEPSolve() iteration was
    318:    stopped.

    320:    Not Collective

    322:    Input Parameter:
    323: .  nep - the nonlinear eigensolver context

    325:    Output Parameter:
    326: .  reason - negative value indicates diverged, positive value converged

    328:    Notes:

    330:    Possible values for reason are
    331: +  NEP_CONVERGED_TOL - converged up to tolerance
    332: .  NEP_CONVERGED_USER - converged due to a user-defined condition
    333: .  NEP_DIVERGED_ITS - required more than max_it iterations to reach convergence
    334: .  NEP_DIVERGED_BREAKDOWN - generic breakdown in method
    335: .  NEP_DIVERGED_LINEAR_SOLVE - inner linear solve failed
    336: -  NEP_DIVERGED_SUBSPACE_EXHAUSTED - run out of space for the basis in an
    337:    unrestarted solver

    339:    Can only be called after the call to NEPSolve() is complete.

    341:    Level: intermediate

    343: .seealso: NEPSetTolerances(), NEPSolve(), NEPConvergedReason
    344: @*/
    345: PetscErrorCode NEPGetConvergedReason(NEP nep,NEPConvergedReason *reason)
    346: {
    350:   NEPCheckSolved(nep,1);
    351:   *reason = nep->reason;
    352:   return(0);
    353: }

    355: /*@C
    356:    NEPGetEigenpair - Gets the i-th solution of the eigenproblem as computed by
    357:    NEPSolve(). The solution consists in both the eigenvalue and the eigenvector.

    359:    Logically Collective on NEP

    361:    Input Parameters:
    362: +  nep - nonlinear eigensolver context
    363: -  i   - index of the solution

    365:    Output Parameters:
    366: +  eigr - real part of eigenvalue
    367: .  eigi - imaginary part of eigenvalue
    368: .  Vr   - real part of eigenvector
    369: -  Vi   - imaginary part of eigenvector

    371:    Notes:
    372:    It is allowed to pass NULL for Vr and Vi, if the eigenvector is not
    373:    required. Otherwise, the caller must provide valid Vec objects, i.e.,
    374:    they must be created by the calling program with e.g. MatCreateVecs().

    376:    If the eigenvalue is real, then eigi and Vi are set to zero. If PETSc is
    377:    configured with complex scalars the eigenvalue is stored
    378:    directly in eigr (eigi is set to zero) and the eigenvector in Vr (Vi is
    379:    set to zero). In both cases, the user can pass NULL in eigi and Vi.

    381:    The index i should be a value between 0 and nconv-1 (see NEPGetConverged()).
    382:    Eigenpairs are indexed according to the ordering criterion established
    383:    with NEPSetWhichEigenpairs().

    385:    Level: beginner

    387: .seealso: NEPSolve(), NEPGetConverged(), NEPSetWhichEigenpairs()
    388: @*/
    389: PetscErrorCode NEPGetEigenpair(NEP nep,PetscInt i,PetscScalar *eigr,PetscScalar *eigi,Vec Vr,Vec Vi)
    390: {
    391:   PetscInt       k;

    399:   NEPCheckSolved(nep,1);
    400:   if (i<0 || i>=nep->nconv) SETERRQ(PetscObjectComm((PetscObject)nep),PETSC_ERR_ARG_OUTOFRANGE,"Argument 2 out of range");

    402:   NEPComputeVectors(nep);
    403:   k = nep->perm[i];

    405:   /* eigenvalue */
    406: #if defined(PETSC_USE_COMPLEX)
    407:   if (eigr) *eigr = nep->eigr[k];
    408:   if (eigi) *eigi = 0;
    409: #else
    410:   if (eigr) *eigr = nep->eigr[k];
    411:   if (eigi) *eigi = nep->eigi[k];
    412: #endif

    414:   /* eigenvector */
    415: #if defined(PETSC_USE_COMPLEX)
    416:   if (Vr) { BVCopyVec(nep->V,k,Vr); }
    417:   if (Vi) { VecSet(Vi,0.0); }
    418: #else
    419:   if (nep->eigi[k]>0) { /* first value of conjugate pair */
    420:     if (Vr) { BVCopyVec(nep->V,k,Vr); }
    421:     if (Vi) { BVCopyVec(nep->V,k+1,Vi); }
    422:   } else if (nep->eigi[k]<0) { /* second value of conjugate pair */
    423:     if (Vr) { BVCopyVec(nep->V,k-1,Vr); }
    424:     if (Vi) {
    425:       BVCopyVec(nep->V,k,Vi);
    426:       VecScale(Vi,-1.0);
    427:     }
    428:   } else { /* real eigenvalue */
    429:     if (Vr) { BVCopyVec(nep->V,k,Vr); }
    430:     if (Vi) { VecSet(Vi,0.0); }
    431:   }
    432: #endif
    433:   return(0);
    434: }

    436: /*@
    437:    NEPGetErrorEstimate - Returns the error estimate associated to the i-th
    438:    computed eigenpair.

    440:    Not Collective

    442:    Input Parameter:
    443: +  nep - nonlinear eigensolver context
    444: -  i   - index of eigenpair

    446:    Output Parameter:
    447: .  errest - the error estimate

    449:    Notes:
    450:    This is the error estimate used internally by the eigensolver. The actual
    451:    error bound can be computed with NEPComputeRelativeError().

    453:    Level: advanced

    455: .seealso: NEPComputeRelativeError()
    456: @*/
    457: PetscErrorCode NEPGetErrorEstimate(NEP nep,PetscInt i,PetscReal *errest)
    458: {
    462:   NEPCheckSolved(nep,1);
    463:   if (i<0 || i>=nep->nconv) SETERRQ(PetscObjectComm((PetscObject)nep),PETSC_ERR_ARG_OUTOFRANGE,"Argument 2 out of range");
    464:   *errest = nep->errest[nep->perm[i]];
    465:   return(0);
    466: }

    468: /*
    469:    NEPComputeResidualNorm_Private - Computes the norm of the residual vector
    470:    associated with an eigenpair.

    472:    Input Parameters:
    473:      lambda - eigenvalue
    474:      x      - eigenvector
    475:      w      - array of work vectors (two vectors in split form, one vector otherwise)
    476: */
    477: PetscErrorCode NEPComputeResidualNorm_Private(NEP nep,PetscScalar lambda,Vec x,Vec *w,PetscReal *norm)
    478: {
    480:   Vec            y,z=NULL;

    483:   y = w[0];
    484:   if (nep->fui==NEP_USER_INTERFACE_SPLIT) z = w[1];
    485:   NEPApplyFunction(nep,lambda,x,z,y,nep->function,nep->function_pre);
    486:   VecNorm(y,NORM_2,norm);
    487:   return(0);
    488: }

    490: /*@
    491:    NEPComputeError - Computes the error (based on the residual norm) associated
    492:    with the i-th computed eigenpair.

    494:    Collective on NEP

    496:    Input Parameter:
    497: +  nep  - the nonlinear eigensolver context
    498: .  i    - the solution index
    499: -  type - the type of error to compute

    501:    Output Parameter:
    502: .  error - the error

    504:    Notes:
    505:    The error can be computed in various ways, all of them based on the residual
    506:    norm computed as ||T(lambda)x||_2 where lambda is the eigenvalue and x is the
    507:    eigenvector.

    509:    Level: beginner

    511: .seealso: NEPErrorType, NEPSolve(), NEPGetErrorEstimate()
    512: @*/
    513: PetscErrorCode NEPComputeError(NEP nep,PetscInt i,NEPErrorType type,PetscReal *error)
    514: {
    516:   Vec            xr,xi=NULL;
    517:   PetscInt       j,nwork,issplit=0;
    518:   PetscScalar    kr,ki,s;
    519:   PetscReal      er,z=0.0;
    520:   PetscBool      flg;

    527:   NEPCheckSolved(nep,1);

    529:   /* allocate work vectors */
    530: #if defined(PETSC_USE_COMPLEX)
    531:   nwork = 2;
    532: #else
    533:   nwork = 3;
    534: #endif
    535:   if (nep->fui==NEP_USER_INTERFACE_SPLIT) {
    536:     issplit = 1;
    537:     nwork++;  /* need an extra work vector for NEPComputeResidualNorm_Private */
    538:   }
    539:   NEPSetWorkVecs(nep,nwork);
    540:   xr = nep->work[issplit+1];
    541: #if !defined(PETSC_USE_COMPLEX)
    542:   xi = nep->work[issplit+2];
    543: #endif

    545:   /* compute residual norms */
    546:   NEPGetEigenpair(nep,i,&kr,&ki,xr,xi);
    547: #if !defined(PETSC_USE_COMPLEX)
    548:   if (ki) SETERRQ(PetscObjectComm((PetscObject)nep),1,"Not implemented for complex eigenvalues with real scalars");
    549: #endif
    550:   NEPComputeResidualNorm_Private(nep,kr,xr,nep->work,error);
    551:   VecNorm(xr,NORM_2,&er);

    553:   /* compute error */
    554:   switch (type) {
    555:     case NEP_ERROR_ABSOLUTE:
    556:       break;
    557:     case NEP_ERROR_RELATIVE:
    558:       *error /= PetscAbsScalar(kr)*er;
    559:       break;
    560:     case NEP_ERROR_BACKWARD:
    561:       if (nep->fui!=NEP_USER_INTERFACE_SPLIT) {
    562:         *error = 0.0;
    563:         PetscInfo(nep,"Backward error only available in split form\n");
    564:         break;
    565:       }
    566:       /* initialization of matrix norms */
    567:       if (!nep->nrma[0]) {
    568:         for (j=0;j<nep->nt;j++) {
    569:           MatHasOperation(nep->A[j],MATOP_NORM,&flg);
    570:           if (!flg) SETERRQ(PetscObjectComm((PetscObject)nep),PETSC_ERR_ARG_WRONG,"The computation of backward errors requires a matrix norm operation");
    571:           MatNorm(nep->A[j],NORM_INFINITY,&nep->nrma[j]);
    572:         }
    573:       }
    574:       for (j=0;j<nep->nt;j++) {
    575:         FNEvaluateFunction(nep->f[j],kr,&s);
    576:         z = z + nep->nrma[j]*PetscAbsScalar(s);
    577:       }
    578:       *error /= z;
    579:       break;
    580:     default:
    581:       SETERRQ(PetscObjectComm((PetscObject)nep),PETSC_ERR_ARG_OUTOFRANGE,"Invalid error type");
    582:   }
    583:   return(0);
    584: }

    586: /*@
    587:    NEPComputeFunction - Computes the function matrix T(lambda) that has been
    588:    set with NEPSetFunction().

    590:    Collective on NEP and Mat

    592:    Input Parameters:
    593: +  nep    - the NEP context
    594: -  lambda - the scalar argument

    596:    Output Parameters:
    597: +  A   - Function matrix
    598: -  B   - optional preconditioning matrix

    600:    Notes:
    601:    NEPComputeFunction() is typically used within nonlinear eigensolvers
    602:    implementations, so most users would not generally call this routine
    603:    themselves.

    605:    Level: developer

    607: .seealso: NEPSetFunction(), NEPGetFunction()
    608: @*/
    609: PetscErrorCode NEPComputeFunction(NEP nep,PetscScalar lambda,Mat A,Mat B)
    610: {
    612:   PetscInt       i;
    613:   PetscScalar    alpha;

    617:   NEPCheckProblem(nep,1);
    618:   switch (nep->fui) {
    619:   case NEP_USER_INTERFACE_CALLBACK:
    620:     if (!nep->computefunction) SETERRQ(PetscObjectComm((PetscObject)nep),PETSC_ERR_USER,"Must call NEPSetFunction() first");
    621:     PetscLogEventBegin(NEP_FunctionEval,nep,A,B,0);
    622:     PetscStackPush("NEP user Function function");
    623:     (*nep->computefunction)(nep,lambda,A,B,nep->functionctx);
    624:     PetscStackPop;
    625:     PetscLogEventEnd(NEP_FunctionEval,nep,A,B,0);
    626:     break;
    627:   case NEP_USER_INTERFACE_SPLIT:
    628:     MatZeroEntries(A);
    629:     for (i=0;i<nep->nt;i++) {
    630:       FNEvaluateFunction(nep->f[i],lambda,&alpha);
    631:       MatAXPY(A,alpha,nep->A[i],nep->mstr);
    632:     }
    633:     if (A != B) SETERRQ(PetscObjectComm((PetscObject)nep),1,"Not implemented");
    634:     break;
    635:   case NEP_USER_INTERFACE_DERIVATIVES:
    636:     PetscLogEventBegin(NEP_DerivativesEval,nep,A,B,0);
    637:     PetscStackPush("NEP user Derivatives function");
    638:     (*nep->computederivatives)(nep,lambda,0,A,nep->derivativesctx);
    639:     PetscStackPop;
    640:     PetscLogEventEnd(NEP_DerivativesEval,nep,A,B,0);
    641:     break;
    642:   }
    643:   return(0);
    644: }

    646: /*@
    647:    NEPComputeJacobian - Computes the Jacobian matrix T'(lambda) that has been
    648:    set with NEPSetJacobian().

    650:    Collective on NEP and Mat

    652:    Input Parameters:
    653: +  nep    - the NEP context
    654: -  lambda - the scalar argument

    656:    Output Parameters:
    657: .  A   - Jacobian matrix

    659:    Notes:
    660:    Most users should not need to explicitly call this routine, as it
    661:    is used internally within the nonlinear eigensolvers.

    663:    Level: developer

    665: .seealso: NEPSetJacobian(), NEPGetJacobian()
    666: @*/
    667: PetscErrorCode NEPComputeJacobian(NEP nep,PetscScalar lambda,Mat A)
    668: {
    670:   PetscInt       i;
    671:   PetscScalar    alpha;

    675:   NEPCheckProblem(nep,1);
    676:   switch (nep->fui) {
    677:   case NEP_USER_INTERFACE_CALLBACK:
    678:     if (!nep->computejacobian) SETERRQ(PetscObjectComm((PetscObject)nep),PETSC_ERR_USER,"Must call NEPSetJacobian() first");
    679:     PetscLogEventBegin(NEP_JacobianEval,nep,A,0,0);
    680:     PetscStackPush("NEP user Jacobian function");
    681:     (*nep->computejacobian)(nep,lambda,A,nep->jacobianctx);
    682:     PetscStackPop;
    683:     PetscLogEventEnd(NEP_JacobianEval,nep,A,0,0);
    684:     break;
    685:   case NEP_USER_INTERFACE_SPLIT:
    686:     MatZeroEntries(A);
    687:     for (i=0;i<nep->nt;i++) {
    688:       FNEvaluateDerivative(nep->f[i],lambda,&alpha);
    689:       MatAXPY(A,alpha,nep->A[i],nep->mstr);
    690:     }
    691:     break;
    692:   case NEP_USER_INTERFACE_DERIVATIVES:
    693:     PetscLogEventBegin(NEP_DerivativesEval,nep,A,0,0);
    694:     PetscStackPush("NEP user Derivatives function");
    695:     (*nep->computederivatives)(nep,lambda,1,A,nep->derivativesctx);
    696:     PetscStackPop;
    697:     PetscLogEventEnd(NEP_DerivativesEval,nep,A,0,0);
    698:     break;
    699:   }
    700:   return(0);
    701: }