/*
SLEPc eigensolver: "arnoldi"
Method: Explicitly Restarted Arnoldi
Algorithm:
Arnoldi method with explicit restart and deflation.
References:
[1] "Arnoldi Methods in SLEPc", SLEPc Technical Report STR-4,
available at http://www.grycap.upv.es/slepc.
Last update: Feb 2009
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SLEPc - Scalable Library for Eigenvalue Problem Computations
Copyright (c) 2002-2011, Universitat Politecnica de Valencia, Spain
This file is part of SLEPc.
SLEPc is free software: you can redistribute it and/or modify it under the
terms of version 3 of the GNU Lesser General Public License as published by
the Free Software Foundation.
SLEPc is distributed in the hope that it will be useful, but WITHOUT ANY
WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for
more details.
You should have received a copy of the GNU Lesser General Public License
along with SLEPc. If not, see <http://www.gnu.org/licenses/>.
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*/
#include <private/epsimpl.h> /*I "slepceps.h" I*/
#include <slepcblaslapack.h>
PetscErrorCode EPSSolve_Arnoldi(EPS);
typedef struct {
PetscBool delayed;
} EPS_ARNOLDI;
#undef __FUNCT__
#define __FUNCT__ "EPSSetUp_Arnoldi"
PetscErrorCode EPSSetUp_Arnoldi(EPS eps)
{
PetscErrorCode ierr;
PetscFunctionBegin;
if (eps->ncv) { /* ncv set */
if (eps->ncv<eps->nev) SETERRQ(((PetscObject)eps)->comm,1,"The value of ncv must be at least nev");
}
else if (eps->mpd) { /* mpd set */
eps->ncv = PetscMin(eps->n,eps->nev+eps->mpd);
}
else { /* neither set: defaults depend on nev being small or large */
if (eps->nev<500) eps->ncv = PetscMin(eps->n,PetscMax(2*eps->nev,eps->nev+15));
else { eps->mpd = 500; eps->ncv = PetscMin(eps->n,eps->nev+eps->mpd); }
}
if (!eps->mpd) eps->mpd = eps->ncv;
if (eps->ncv>eps->nev+eps->mpd) SETERRQ(((PetscObject)eps)->comm,1,"The value of ncv must not be larger than nev+mpd");
if (!eps->max_it) eps->max_it = PetscMax(100,2*eps->n/eps->ncv);
if (!eps->which) { ierr = EPSDefaultSetWhich(eps);CHKERRQ(ierr); }
if (eps->ishermitian && (eps->which==EPS_LARGEST_IMAGINARY || eps->which==EPS_SMALLEST_IMAGINARY))
SETERRQ(((PetscObject)eps)->comm,1,"Wrong value of eps->which");
if (!eps->extraction) {
ierr = EPSSetExtraction(eps,EPS_RITZ);CHKERRQ(ierr);
}
ierr = EPSAllocateSolution(eps);CHKERRQ(ierr);
ierr = PetscFree(eps->T);CHKERRQ(ierr);
ierr = PetscMalloc(eps->ncv*eps->ncv*sizeof(PetscScalar),&eps->T);CHKERRQ(ierr);
if (eps->leftvecs) {
ierr = PetscFree(eps->Tl);CHKERRQ(ierr);
ierr = PetscMalloc(eps->ncv*eps->ncv*sizeof(PetscScalar),&eps->Tl);CHKERRQ(ierr);
ierr = PetscInfo(eps,"Warning: parameter mpd ignored\n");CHKERRQ(ierr);
ierr = EPSDefaultGetWork(eps,2);CHKERRQ(ierr);
} else {
ierr = EPSDefaultGetWork(eps,1);CHKERRQ(ierr);
}
/* dispatch solve method */
if (eps->leftvecs) SETERRQ(((PetscObject)eps)->comm,PETSC_ERR_SUP,"Left vectors not supported in this solver");
eps->ops->solve = EPSSolve_Arnoldi;
PetscFunctionReturn(0);
}
#undef __FUNCT__
#define __FUNCT__ "EPSDelayedArnoldi"
/*
EPSDelayedArnoldi - This function is equivalent to EPSBasicArnoldi but
performs the computation in a different way. The main idea is that
reorthogonalization is delayed to the next Arnoldi step. This version is
more scalable but in some cases convergence may stagnate.
*/
PetscErrorCode EPSDelayedArnoldi(EPS eps,PetscScalar *H,PetscInt ldh,Vec *V,PetscInt k,PetscInt *M,Vec f,PetscReal *beta,PetscBool *breakdown)
{
PetscErrorCode ierr;
PetscInt i,j,m=*M;
Vec u,t;
PetscScalar shh[100],*lhh,dot,dot2;
PetscReal norm1=0.0,norm2;
PetscFunctionBegin;
if (m<=100) lhh = shh;
else { ierr = PetscMalloc(m*sizeof(PetscScalar),&lhh);CHKERRQ(ierr); }
ierr = VecDuplicate(f,&u);CHKERRQ(ierr);
ierr = VecDuplicate(f,&t);CHKERRQ(ierr);
for (j=k;j<m;j++) {
ierr = STApply(eps->OP,V[j],f);CHKERRQ(ierr);
ierr = IPOrthogonalize(eps->ip,0,PETSC_NULL,eps->nds,PETSC_NULL,eps->DS,f,PETSC_NULL,PETSC_NULL,PETSC_NULL);CHKERRQ(ierr);
ierr = IPMInnerProductBegin(eps->ip,f,j+1,V,H+ldh*j);CHKERRQ(ierr);
if (j>k) {
ierr = IPMInnerProductBegin(eps->ip,V[j],j,V,lhh);CHKERRQ(ierr);
ierr = IPInnerProductBegin(eps->ip,V[j],V[j],&dot);CHKERRQ(ierr);
}
if (j>k+1) {
ierr = IPNormBegin(eps->ip,u,&norm2);CHKERRQ(ierr);
ierr = VecDotBegin(u,V[j-2],&dot2);CHKERRQ(ierr);
}
ierr = IPMInnerProductEnd(eps->ip,f,j+1,V,H+ldh*j);CHKERRQ(ierr);
if (j>k) {
ierr = IPMInnerProductEnd(eps->ip,V[j],j,V,lhh);CHKERRQ(ierr);
ierr = IPInnerProductEnd(eps->ip,V[j],V[j],&dot);CHKERRQ(ierr);
}
if (j>k+1) {
ierr = IPNormEnd(eps->ip,u,&norm2);CHKERRQ(ierr);
ierr = VecDotEnd(u,V[j-2],&dot2);CHKERRQ(ierr);
if (PetscAbsScalar(dot2/norm2) > PETSC_MACHINE_EPSILON) {
*breakdown = PETSC_TRUE;
*M = j-1;
*beta = norm2;
if (m>100) { ierr = PetscFree(lhh);CHKERRQ(ierr); }
ierr = VecDestroy(&u);CHKERRQ(ierr);
ierr = VecDestroy(&t);CHKERRQ(ierr);
PetscFunctionReturn(0);
}
}
if (j>k) {
norm1 = PetscSqrtReal(PetscRealPart(dot));
for (i=0;i<j;i++)
H[ldh*j+i] = H[ldh*j+i]/norm1;
H[ldh*j+j] = H[ldh*j+j]/dot;
ierr = VecCopy(V[j],t);CHKERRQ(ierr);
ierr = VecScale(V[j],1.0/norm1);CHKERRQ(ierr);
ierr = VecScale(f,1.0/norm1);CHKERRQ(ierr);
}
ierr = SlepcVecMAXPBY(f,1.0,-1.0,j+1,H+ldh*j,V);CHKERRQ(ierr);
if (j>k) {
ierr = SlepcVecMAXPBY(t,1.0,-1.0,j,lhh,V);CHKERRQ(ierr);
for (i=0;i<j;i++)
H[ldh*(j-1)+i] += lhh[i];
}
if (j>k+1) {
ierr = VecCopy(u,V[j-1]);CHKERRQ(ierr);
ierr = VecScale(V[j-1],1.0/norm2);CHKERRQ(ierr);
H[ldh*(j-2)+j-1] = norm2;
}
if (j<m-1) {
ierr = VecCopy(f,V[j+1]);CHKERRQ(ierr);
ierr = VecCopy(t,u);CHKERRQ(ierr);
}
}
ierr = IPNorm(eps->ip,t,&norm2);CHKERRQ(ierr);
ierr = VecScale(t,1.0/norm2);CHKERRQ(ierr);
ierr = VecCopy(t,V[m-1]);CHKERRQ(ierr);
H[ldh*(m-2)+m-1] = norm2;
ierr = IPMInnerProduct(eps->ip,f,m,V,lhh);CHKERRQ(ierr);
ierr = SlepcVecMAXPBY(f,1.0,-1.0,m,lhh,V);CHKERRQ(ierr);
for (i=0;i<m;i++)
H[ldh*(m-1)+i] += lhh[i];
ierr = IPNorm(eps->ip,f,beta);CHKERRQ(ierr);
ierr = VecScale(f,1.0 / *beta);CHKERRQ(ierr);
*breakdown = PETSC_FALSE;
if (m>100) { ierr = PetscFree(lhh);CHKERRQ(ierr); }
ierr = VecDestroy(&u);CHKERRQ(ierr);
ierr = VecDestroy(&t);CHKERRQ(ierr);
PetscFunctionReturn(0);
}
#undef __FUNCT__
#define __FUNCT__ "EPSDelayedArnoldi1"
/*
EPSDelayedArnoldi1 - This function is similar to EPSDelayedArnoldi1,
but without reorthogonalization (only delayed normalization).
*/
PetscErrorCode EPSDelayedArnoldi1(EPS eps,PetscScalar *H,PetscInt ldh,Vec *V,PetscInt k,PetscInt *M,Vec f,PetscReal *beta,PetscBool *breakdown)
{
PetscErrorCode ierr;
PetscInt i,j,m=*M;
PetscScalar dot;
PetscReal norm=0.0;
PetscFunctionBegin;
for (j=k;j<m;j++) {
ierr = STApply(eps->OP,V[j],f);CHKERRQ(ierr);
ierr = IPOrthogonalize(eps->ip,0,PETSC_NULL,eps->nds,PETSC_NULL,eps->DS,f,PETSC_NULL,PETSC_NULL,PETSC_NULL);CHKERRQ(ierr);
ierr = IPMInnerProductBegin(eps->ip,f,j+1,V,H+ldh*j);CHKERRQ(ierr);
if (j>k) {
ierr = IPInnerProductBegin(eps->ip,V[j],V[j],&dot);CHKERRQ(ierr);
}
ierr = IPMInnerProductEnd(eps->ip,f,j+1,V,H+ldh*j);CHKERRQ(ierr);
if (j>k) {
ierr = IPInnerProductEnd(eps->ip,V[j],V[j],&dot);CHKERRQ(ierr);
}
if (j>k) {
norm = PetscSqrtReal(PetscRealPart(dot));
ierr = VecScale(V[j],1.0/norm);CHKERRQ(ierr);
H[ldh*(j-1)+j] = norm;
for (i=0;i<j;i++)
H[ldh*j+i] = H[ldh*j+i]/norm;
H[ldh*j+j] = H[ldh*j+j]/dot;
ierr = VecScale(f,1.0/norm);CHKERRQ(ierr);
}
ierr = SlepcVecMAXPBY(f,1.0,-1.0,j+1,H+ldh*j,V);CHKERRQ(ierr);
if (j<m-1) {
ierr = VecCopy(f,V[j+1]);CHKERRQ(ierr);
}
}
ierr = IPNorm(eps->ip,f,beta);CHKERRQ(ierr);
ierr = VecScale(f,1.0 / *beta);CHKERRQ(ierr);
*breakdown = PETSC_FALSE;
PetscFunctionReturn(0);
}
#undef __FUNCT__
#define __FUNCT__ "EPSProjectedArnoldi"
/*
EPSProjectedArnoldi - Solves the projected eigenproblem.
On input:
S is the projected matrix (leading dimension is lds)
On output:
S has (real) Schur form with diagonal blocks sorted appropriately
Q contains the corresponding Schur vectors (order n, leading dimension n)
*/
PetscErrorCode EPSProjectedArnoldi(EPS eps,PetscScalar *S,PetscInt lds,PetscScalar *Q,PetscInt n)
{
PetscErrorCode ierr;
PetscInt i;
PetscFunctionBegin;
/* Initialize orthogonal matrix */
ierr = PetscMemzero(Q,n*n*sizeof(PetscScalar));CHKERRQ(ierr);
for (i=0;i<n;i++)
Q[i*(n+1)] = 1.0;
/* Reduce S to (quasi-)triangular form, S <- Q S Q' */
ierr = EPSDenseSchur(n,eps->nconv,S,lds,Q,eps->eigr,eps->eigi);CHKERRQ(ierr);
/* Sort the remaining columns of the Schur form */
ierr = EPSSortDenseSchur(eps,n,eps->nconv,S,lds,Q,eps->eigr,eps->eigi);CHKERRQ(ierr);
PetscFunctionReturn(0);
}
#undef __FUNCT__
#define __FUNCT__ "EPSUpdateVectors"
/*
EPSUpdateVectors - Computes approximate Schur vectors (or eigenvectors) by
either Ritz extraction (U=U*Q) or refined Ritz extraction
On input:
n is the size of U
U is the orthogonal basis of the subspace used for projecting
s is the index of the first vector computed
e+1 is the index of the last vector computed
Q contains the corresponding Schur vectors of the projected matrix (size n x n, leading dimension ldq)
H is the (extended) projected matrix (size n+1 x n, leading dimension ldh)
On output:
v is the resulting vector
*/
PetscErrorCode EPSUpdateVectors(EPS eps,PetscInt n_,Vec *U,PetscInt s,PetscInt e,PetscScalar *Q,PetscInt ldq,PetscScalar *H,PetscInt ldh_)
{
#if defined(PETSC_MISSING_LAPACK_GESVD)
SETERRQ(((PetscObject)eps)->comm,PETSC_ERR_SUP,"GESVD - Lapack routine is unavailable.");
#else
PetscErrorCode ierr;
PetscBool isrefined;
PetscInt i,j,k;
PetscBLASInt n1,lwork,idummy=1,info,n=n_,ldh=ldh_;
PetscScalar *B,sdummy,*work;
PetscReal *sigma;
PetscFunctionBegin;
isrefined = (eps->extraction==EPS_REFINED || eps->extraction==EPS_REFINED_HARMONIC)?PETSC_TRUE:PETSC_FALSE;
if (isrefined) {
/* Refined Ritz extraction */
n1 = n+1;
ierr = PetscMalloc(n1*n*sizeof(PetscScalar),&B);CHKERRQ(ierr);
ierr = PetscMalloc(6*n*sizeof(PetscReal),&sigma);CHKERRQ(ierr);
lwork = 10*n;
ierr = PetscMalloc(lwork*sizeof(PetscScalar),&work);CHKERRQ(ierr);
for (k=s;k<e;k++) {
/* copy H to B */
for (i=0;i<=n;i++) {
for (j=0;j<n;j++) {
B[i+j*n1] = H[i+j*ldh];
}
}
/* subtract ritz value from diagonal of B^ */
for (i=0;i<n;i++) {
B[i+i*n1] -= eps->eigr[k]; /* MISSING: complex case */
}
/* compute SVD of [H-mu*I] */
#if !defined(PETSC_USE_COMPLEX)
LAPACKgesvd_("N","O",&n1,&n,B,&n1,sigma,&sdummy,&idummy,&sdummy,&idummy,work,&lwork,&info);
#else
LAPACKgesvd_("N","O",&n1,&n,B,&n1,sigma,&sdummy,&idummy,&sdummy,&idummy,work,&lwork,sigma+n,&info);
#endif
if (info) SETERRQ1(((PetscObject)eps)->comm,PETSC_ERR_LIB,"Error in Lapack xGESVD %d",info);
/* the smallest singular value is the new error estimate */
eps->errest[k] = sigma[n-1];
/* update vector with right singular vector associated to smallest singular value */
for (i=0;i<n;i++)
Q[k*ldq+i] = B[n-1+i*n1];
}
/* free workspace */
ierr = PetscFree(B);CHKERRQ(ierr);
ierr = PetscFree(sigma);CHKERRQ(ierr);
ierr = PetscFree(work);CHKERRQ(ierr);
}
/* Ritz extraction: v = U*q */
ierr = SlepcUpdateVectors(n_,U,s,e,Q,ldq,PETSC_FALSE);CHKERRQ(ierr);
PetscFunctionReturn(0);
#endif
}
#undef __FUNCT__
#define __FUNCT__ "EPSSolve_Arnoldi"
PetscErrorCode EPSSolve_Arnoldi(EPS eps)
{
PetscErrorCode ierr;
PetscInt i,k,lwork,nv;
Vec f=eps->work[0];
PetscScalar *H=eps->T,*U,*g,*work,*Hcopy;
PetscReal beta,gnorm,corrf=1.0;
PetscBool breakdown;
IPOrthogRefineType orthog_ref;
EPS_ARNOLDI *arnoldi = (EPS_ARNOLDI *)eps->data;
PetscFunctionBegin;
ierr = PetscMemzero(eps->T,eps->ncv*eps->ncv*sizeof(PetscScalar));CHKERRQ(ierr);
ierr = PetscMalloc(eps->ncv*eps->ncv*sizeof(PetscScalar),&U);CHKERRQ(ierr);
lwork = PetscMax((eps->ncv+1)*eps->ncv,7*eps->ncv);
ierr = PetscMalloc(lwork*sizeof(PetscScalar),&work);CHKERRQ(ierr);
if (eps->extraction==EPS_HARMONIC || eps->extraction==EPS_REFINED_HARMONIC) {
ierr = PetscMalloc(eps->ncv*sizeof(PetscScalar),&g);CHKERRQ(ierr);
}
if (eps->extraction==EPS_REFINED || eps->extraction==EPS_REFINED_HARMONIC) {
ierr = PetscMalloc((eps->ncv+1)*eps->ncv*sizeof(PetscScalar),&Hcopy);CHKERRQ(ierr);
}
ierr = IPGetOrthogonalization(eps->ip,PETSC_NULL,&orthog_ref,PETSC_NULL);CHKERRQ(ierr);
/* Get the starting Arnoldi vector */
ierr = EPSGetStartVector(eps,0,eps->V[0],PETSC_NULL);CHKERRQ(ierr);
/* Restart loop */
while (eps->reason == EPS_CONVERGED_ITERATING) {
eps->its++;
/* Compute an nv-step Arnoldi factorization */
nv = PetscMin(eps->nconv+eps->mpd,eps->ncv);
if (!arnoldi->delayed) {
ierr = EPSBasicArnoldi(eps,PETSC_FALSE,H,eps->ncv,eps->V,eps->nconv,&nv,f,&beta,&breakdown);CHKERRQ(ierr);
} else if (orthog_ref == IP_ORTHOG_REFINE_NEVER) {
ierr = EPSDelayedArnoldi1(eps,H,eps->ncv,eps->V,eps->nconv,&nv,f,&beta,&breakdown);CHKERRQ(ierr);
} else {
ierr = EPSDelayedArnoldi(eps,H,eps->ncv,eps->V,eps->nconv,&nv,f,&beta,&breakdown);CHKERRQ(ierr);
}
if (eps->extraction==EPS_REFINED || eps->extraction==EPS_REFINED_HARMONIC) {
ierr = PetscMemcpy(Hcopy,H,eps->ncv*eps->ncv*sizeof(PetscScalar));CHKERRQ(ierr);
for (i=0;i<nv-1;i++) Hcopy[nv+i*eps->ncv] = 0.0;
Hcopy[nv+(nv-1)*eps->ncv] = beta;
}
/* Compute translation of Krylov decomposition if harmonic extraction used */
if (eps->extraction==EPS_HARMONIC || eps->extraction==EPS_REFINED_HARMONIC) {
ierr = EPSTranslateHarmonic(nv,H,eps->ncv,eps->target,(PetscScalar)beta,g,work);CHKERRQ(ierr);
gnorm = 0.0;
for (i=0;i<nv;i++)
gnorm = gnorm + PetscRealPart(g[i]*PetscConj(g[i]));
corrf = PetscSqrtReal(1.0+gnorm);
}
/* Solve projected problem */
ierr = EPSProjectedArnoldi(eps,H,eps->ncv,U,nv);CHKERRQ(ierr);
/* Check convergence */
ierr = EPSKrylovConvergence(eps,PETSC_FALSE,eps->trackall,eps->nconv,nv-eps->nconv,H,eps->ncv,U,eps->V,nv,beta,corrf,&k,work);CHKERRQ(ierr);
ierr = EPSUpdateVectors(eps,nv,eps->V,eps->nconv,PetscMin(k+1,nv),U,nv,Hcopy,eps->ncv);CHKERRQ(ierr);
eps->nconv = k;
ierr = EPSMonitor(eps,eps->its,eps->nconv,eps->eigr,eps->eigi,eps->errest,nv);CHKERRQ(ierr);
if (breakdown) {
ierr = PetscInfo2(eps,"Breakdown in Arnoldi method (it=%D norm=%G)\n",eps->its,beta);CHKERRQ(ierr);
ierr = EPSGetStartVector(eps,k,eps->V[k],&breakdown);CHKERRQ(ierr);
if (breakdown) {
eps->reason = EPS_DIVERGED_BREAKDOWN;
ierr = PetscInfo(eps,"Unable to generate more start vectors\n");CHKERRQ(ierr);
}
}
if (eps->its >= eps->max_it) eps->reason = EPS_DIVERGED_ITS;
if (eps->nconv >= eps->nev) eps->reason = EPS_CONVERGED_TOL;
}
ierr = PetscFree(U);CHKERRQ(ierr);
ierr = PetscFree(work);CHKERRQ(ierr);
if (eps->extraction==EPS_HARMONIC || eps->extraction==EPS_REFINED_HARMONIC) {
ierr = PetscFree(g);CHKERRQ(ierr);
}
if (eps->extraction==EPS_REFINED || eps->extraction==EPS_REFINED_HARMONIC) {
ierr = PetscFree(Hcopy);CHKERRQ(ierr);
}
PetscFunctionReturn(0);
}
#undef __FUNCT__
#define __FUNCT__ "EPSSetFromOptions_Arnoldi"
PetscErrorCode EPSSetFromOptions_Arnoldi(EPS eps)
{
PetscErrorCode ierr;
PetscBool set,val;
EPS_ARNOLDI *arnoldi = (EPS_ARNOLDI *)eps->data;
PetscFunctionBegin;
ierr = PetscOptionsHead("EPS Arnoldi Options");CHKERRQ(ierr);
ierr = PetscOptionsBool("-eps_arnoldi_delayed","Arnoldi with delayed reorthogonalization","EPSArnoldiSetDelayed",arnoldi->delayed,&val,&set);CHKERRQ(ierr);
if (set) {
ierr = EPSArnoldiSetDelayed(eps,val);CHKERRQ(ierr);
}
ierr = PetscOptionsTail();CHKERRQ(ierr);
PetscFunctionReturn(0);
}
EXTERN_C_BEGIN
#undef __FUNCT__
#define __FUNCT__ "EPSArnoldiSetDelayed_Arnoldi"
PetscErrorCode EPSArnoldiSetDelayed_Arnoldi(EPS eps,PetscBool delayed)
{
EPS_ARNOLDI *arnoldi = (EPS_ARNOLDI *)eps->data;
PetscFunctionBegin;
arnoldi->delayed = delayed;
PetscFunctionReturn(0);
}
EXTERN_C_END
#undef __FUNCT__
#define __FUNCT__ "EPSArnoldiSetDelayed"
/*@
EPSArnoldiSetDelayed - Activates or deactivates delayed reorthogonalization
in the Arnoldi iteration.
Logically Collective on EPS
Input Parameters:
+ eps - the eigenproblem solver context
- delayed - boolean flag
Options Database Key:
. -eps_arnoldi_delayed - Activates delayed reorthogonalization in Arnoldi
Note:
Delayed reorthogonalization is an aggressive optimization for the Arnoldi
eigensolver than may provide better scalability, but sometimes makes the
solver converge less than the default algorithm.
Level: advanced
.seealso: EPSArnoldiGetDelayed()
@*/
PetscErrorCode EPSArnoldiSetDelayed(EPS eps,PetscBool delayed)
{
PetscErrorCode ierr;
PetscFunctionBegin;
PetscValidHeaderSpecific(eps,EPS_CLASSID,1);
PetscValidLogicalCollectiveBool(eps,delayed,2);
ierr = PetscTryMethod(eps,"EPSArnoldiSetDelayed_C",(EPS,PetscBool),(eps,delayed));CHKERRQ(ierr);
PetscFunctionReturn(0);
}
EXTERN_C_BEGIN
#undef __FUNCT__
#define __FUNCT__ "EPSArnoldiGetDelayed_Arnoldi"
PetscErrorCode EPSArnoldiGetDelayed_Arnoldi(EPS eps,PetscBool *delayed)
{
EPS_ARNOLDI *arnoldi = (EPS_ARNOLDI *)eps->data;
PetscFunctionBegin;
*delayed = arnoldi->delayed;
PetscFunctionReturn(0);
}
EXTERN_C_END
#undef __FUNCT__
#define __FUNCT__ "EPSArnoldiGetDelayed"
/*@C
EPSArnoldiGetDelayed - Gets the type of reorthogonalization used during the Arnoldi
iteration.
Not Collective
Input Parameter:
. eps - the eigenproblem solver context
Input Parameter:
. delayed - boolean flag indicating if delayed reorthogonalization has been enabled
Level: advanced
.seealso: EPSArnoldiSetDelayed()
@*/
PetscErrorCode EPSArnoldiGetDelayed(EPS eps,PetscBool *delayed)
{
PetscErrorCode ierr;
PetscFunctionBegin;
PetscValidHeaderSpecific(eps,EPS_CLASSID,1);
PetscValidPointer(delayed,2);
ierr = PetscTryMethod(eps,"EPSArnoldiGetDelayed_C",(EPS,PetscBool*),(eps,delayed));CHKERRQ(ierr);
PetscFunctionReturn(0);
}
#undef __FUNCT__
#define __FUNCT__ "EPSReset_Arnoldi"
PetscErrorCode EPSReset_Arnoldi(EPS eps)
{
PetscErrorCode ierr;
PetscFunctionBegin;
ierr = PetscFree(eps->T);CHKERRQ(ierr);
ierr = PetscFree(eps->Tl);CHKERRQ(ierr);
ierr = EPSReset_Default(eps);CHKERRQ(ierr);
PetscFunctionReturn(0);
}
#undef __FUNCT__
#define __FUNCT__ "EPSDestroy_Arnoldi"
PetscErrorCode EPSDestroy_Arnoldi(EPS eps)
{
PetscErrorCode ierr;
PetscFunctionBegin;
ierr = PetscFree(eps->data);CHKERRQ(ierr);
ierr = PetscObjectComposeFunctionDynamic((PetscObject)eps,"EPSArnoldiSetDelayed_C","",PETSC_NULL);CHKERRQ(ierr);
ierr = PetscObjectComposeFunctionDynamic((PetscObject)eps,"EPSArnoldiGetDelayed_C","",PETSC_NULL);CHKERRQ(ierr);
PetscFunctionReturn(0);
}
#undef __FUNCT__
#define __FUNCT__ "EPSView_Arnoldi"
PetscErrorCode EPSView_Arnoldi(EPS eps,PetscViewer viewer)
{
PetscErrorCode ierr;
PetscBool isascii;
EPS_ARNOLDI *arnoldi = (EPS_ARNOLDI *)eps->data;
PetscFunctionBegin;
ierr = PetscTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&isascii);CHKERRQ(ierr);
if (!isascii) {
SETERRQ1(((PetscObject)eps)->comm,1,"Viewer type %s not supported for EPS Arnoldi",((PetscObject)viewer)->type_name);
}
if (arnoldi->delayed) {
ierr = PetscViewerASCIIPrintf(viewer," Arnoldi: using delayed reorthogonalization\n");CHKERRQ(ierr);
}
PetscFunctionReturn(0);
}
extern PetscErrorCode EPSSolve_TS_Arnoldi(EPS);
EXTERN_C_BEGIN
#undef __FUNCT__
#define __FUNCT__ "EPSCreate_Arnoldi"
PetscErrorCode EPSCreate_Arnoldi(EPS eps)
{
PetscErrorCode ierr;
PetscFunctionBegin;
ierr = PetscNewLog(eps,EPS_ARNOLDI,&eps->data);CHKERRQ(ierr);
eps->ops->setup = EPSSetUp_Arnoldi;
eps->ops->setfromoptions = EPSSetFromOptions_Arnoldi;
eps->ops->destroy = EPSDestroy_Arnoldi;
eps->ops->reset = EPSReset_Arnoldi;
eps->ops->view = EPSView_Arnoldi;
eps->ops->backtransform = EPSBackTransform_Default;
eps->ops->computevectors = EPSComputeVectors_Schur;
ierr = PetscObjectComposeFunctionDynamic((PetscObject)eps,"EPSArnoldiSetDelayed_C","EPSArnoldiSetDelayed_Arnoldi",EPSArnoldiSetDelayed_Arnoldi);CHKERRQ(ierr);
ierr = PetscObjectComposeFunctionDynamic((PetscObject)eps,"EPSArnoldiGetDelayed_C","EPSArnoldiGetDelayed_Arnoldi",EPSArnoldiGetDelayed_Arnoldi);CHKERRQ(ierr);
PetscFunctionReturn(0);
}
EXTERN_C_END