/*
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/*
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|
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SLEPc eigensolver: "power"
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SLEPc eigensolver: "power"
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Method: Power Iteration
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Method: Power Iteration
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Algorithm:
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Algorithm:
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This solver implements the power iteration for finding dominant
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This solver implements the power iteration for finding dominant
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eigenpairs. It also includes the following well-known methods:
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eigenpairs. It also includes the following well-known methods:
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- Inverse Iteration: when used in combination with shift-and-invert
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- Inverse Iteration: when used in combination with shift-and-invert
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spectral transformation.
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spectral transformation.
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- Rayleigh Quotient Iteration (RQI): also with shift-and-invert plus
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- Rayleigh Quotient Iteration (RQI): also with shift-and-invert plus
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a variable shift.
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a variable shift.
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References:
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References:
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[1] "Single Vector Iteration Methods in SLEPc", SLEPc Technical Report STR-2,
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[1] "Single Vector Iteration Methods in SLEPc", SLEPc Technical Report STR-2,
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available at http://www.grycap.upv.es/slepc.
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available at http://www.grycap.upv.es/slepc.
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Last update: Feb 2009
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Last update: Feb 2009
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- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
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- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
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SLEPc - Scalable Library for Eigenvalue Problem Computations
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SLEPc - Scalable Library for Eigenvalue Problem Computations
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Copyright (c) 2002-2009, Universidad Politecnica de Valencia, Spain
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Copyright (c) 2002-2010, Universidad Politecnica de Valencia, Spain
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This file is part of SLEPc.
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This file is part of SLEPc.
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SLEPc is free software: you can redistribute it and/or modify it under the
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SLEPc is free software: you can redistribute it and/or modify it under the
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terms of version 3 of the GNU Lesser General Public License as published by
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terms of version 3 of the GNU Lesser General Public License as published by
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the Free Software Foundation.
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the Free Software Foundation.
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|
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SLEPc is distributed in the hope that it will be useful, but WITHOUT ANY
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SLEPc is distributed in the hope that it will be useful, but WITHOUT ANY
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WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
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WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
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FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for
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FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for
|
more details.
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more details.
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|
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You should have received a copy of the GNU Lesser General Public License
|
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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along with SLEPc. If not, see <http://www.gnu.org/licenses/>.
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- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
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- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
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*/
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*/
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#include "private/epsimpl.h" /*I "slepceps.h" I*/
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#include "private/epsimpl.h" /*I "slepceps.h" I*/
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#include "slepcblaslapack.h"
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#include "slepcblaslapack.h"
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PetscErrorCode EPSSolve_POWER(EPS);
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PetscErrorCode EPSSolve_POWER(EPS);
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PetscErrorCode EPSSolve_TS_POWER(EPS);
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PetscErrorCode EPSSolve_TS_POWER(EPS);
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typedef struct {
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typedef struct {
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EPSPowerShiftType shift_type;
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EPSPowerShiftType shift_type;
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} EPS_POWER;
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} EPS_POWER;
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#undef __FUNCT__
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#undef __FUNCT__
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#define __FUNCT__ "EPSSetUp_POWER"
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#define __FUNCT__ "EPSSetUp_POWER"
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PetscErrorCode EPSSetUp_POWER(EPS eps)
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PetscErrorCode EPSSetUp_POWER(EPS eps)
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{
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{
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PetscErrorCode ierr;
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PetscErrorCode ierr;
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EPS_POWER *power = (EPS_POWER *)eps->data;
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EPS_POWER *power = (EPS_POWER *)eps->data;
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PetscTruth flg;
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PetscTruth flg;
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STMatMode mode;
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STMatMode mode;
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PetscFunctionBegin;
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PetscFunctionBegin;
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if (eps->ncv) {
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if (eps->ncv) {
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if (eps->ncv<eps->nev) SETERRQ(1,"The value of ncv must be at least nev");
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if (eps->ncv<eps->nev) SETERRQ(1,"The value of ncv must be at least nev");
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}
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}
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else eps->ncv = eps->nev;
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else eps->ncv = eps->nev;
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if (eps->mpd) PetscInfo(eps,"Warning: parameter mpd ignored\n");
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if (eps->mpd) PetscInfo(eps,"Warning: parameter mpd ignored\n");
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if (!eps->max_it) eps->max_it = PetscMax(2000,100*eps->n);
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if (!eps->max_it) eps->max_it = PetscMax(2000,100*eps->n);
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if (!eps->which) eps->which = EPS_LARGEST_MAGNITUDE;
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if (!eps->which) eps->which = EPS_LARGEST_MAGNITUDE;
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if (eps->which!=EPS_LARGEST_MAGNITUDE)
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if (eps->which!=EPS_LARGEST_MAGNITUDE)
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SETERRQ(1,"Wrong value of eps->which");
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SETERRQ(1,"Wrong value of eps->which");
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if (power->shift_type != EPS_POWER_SHIFT_CONSTANT) {
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if (power->shift_type != EPS_POWER_SHIFT_CONSTANT) {
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ierr = PetscTypeCompare((PetscObject)eps->OP,STSINVERT,&flg);CHKERRQ(ierr);
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ierr = PetscTypeCompare((PetscObject)eps->OP,STSINVERT,&flg);CHKERRQ(ierr);
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if (!flg)
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if (!flg)
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SETERRQ(PETSC_ERR_SUP,"Variable shifts only allowed in shift-and-invert ST");
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SETERRQ(PETSC_ERR_SUP,"Variable shifts only allowed in shift-and-invert ST");
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ierr = STGetMatMode(eps->OP,&mode);CHKERRQ(ierr);
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ierr = STGetMatMode(eps->OP,&mode);CHKERRQ(ierr);
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if (mode == ST_MATMODE_INPLACE)
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if (mode == ST_MATMODE_INPLACE)
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SETERRQ(PETSC_ERR_SUP,"ST matrix mode inplace does not work with variable shifts");
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SETERRQ(PETSC_ERR_SUP,"ST matrix mode inplace does not work with variable shifts");
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}
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}
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if (eps->extraction) {
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if (eps->extraction) {
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ierr = PetscInfo(eps,"Warning: extraction type ignored\n");CHKERRQ(ierr);
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ierr = PetscInfo(eps,"Warning: extraction type ignored\n");CHKERRQ(ierr);
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}
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}
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if (eps->balance!=EPS_BALANCE_NONE)
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if (eps->balance!=EPS_BALANCE_NONE)
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SETERRQ(PETSC_ERR_SUP,"Balancing not supported in this solver");
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SETERRQ(PETSC_ERR_SUP,"Balancing not supported in this solver");
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ierr = EPSAllocateSolution(eps);CHKERRQ(ierr);
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ierr = EPSAllocateSolution(eps);CHKERRQ(ierr);
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if (eps->leftvecs) {
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if (eps->leftvecs) {
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ierr = EPSDefaultGetWork(eps,3);CHKERRQ(ierr);
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ierr = EPSDefaultGetWork(eps,3);CHKERRQ(ierr);
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} else {
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} else {
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ierr = EPSDefaultGetWork(eps,2);CHKERRQ(ierr);
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ierr = EPSDefaultGetWork(eps,2);CHKERRQ(ierr);
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}
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}
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/* dispatch solve method */
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/* dispatch solve method */
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if (eps->leftvecs) eps->ops->solve = EPSSolve_TS_POWER;
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if (eps->leftvecs) eps->ops->solve = EPSSolve_TS_POWER;
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else eps->ops->solve = EPSSolve_POWER;
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else eps->ops->solve = EPSSolve_POWER;
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PetscFunctionReturn(0);
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PetscFunctionReturn(0);
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}
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}
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#undef __FUNCT__
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#undef __FUNCT__
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#define __FUNCT__ "EPSSolve_POWER"
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#define __FUNCT__ "EPSSolve_POWER"
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PetscErrorCode EPSSolve_POWER(EPS eps)
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PetscErrorCode EPSSolve_POWER(EPS eps)
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{
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{
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PetscErrorCode ierr;
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PetscErrorCode ierr;
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EPS_POWER *power = (EPS_POWER *)eps->data;
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EPS_POWER *power = (EPS_POWER *)eps->data;
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PetscInt i;
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PetscInt i;
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Vec v, y, e;
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Vec v, y, e;
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Mat A;
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Mat A;
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PetscReal relerr, norm, rt1, rt2, cs1, anorm;
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PetscReal relerr, norm, rt1, rt2, cs1, anorm;
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PetscScalar theta, rho, delta, sigma, alpha2, beta1, sn1;
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PetscScalar theta, rho, delta, sigma, alpha2, beta1, sn1;
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PetscTruth breakdown,*select = PETSC_NULL,hasnorm;
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PetscTruth breakdown,*select = PETSC_NULL,hasnorm;
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PetscFunctionBegin;
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PetscFunctionBegin;
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v = eps->V[0];
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v = eps->V[0];
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y = eps->work[1];
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y = eps->work[1];
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e = eps->work[0];
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e = eps->work[0];
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/* prepare for selective orthogonalization of converged vectors */
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/* prepare for selective orthogonalization of converged vectors */
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if (power->shift_type != EPS_POWER_SHIFT_CONSTANT && eps->nev>1) {
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if (power->shift_type != EPS_POWER_SHIFT_CONSTANT && eps->nev>1) {
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ierr = STGetOperators(eps->OP,&A,PETSC_NULL);CHKERRQ(ierr);
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ierr = STGetOperators(eps->OP,&A,PETSC_NULL);CHKERRQ(ierr);
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ierr = MatHasOperation(A,MATOP_NORM,&hasnorm);CHKERRQ(ierr);
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ierr = MatHasOperation(A,MATOP_NORM,&hasnorm);CHKERRQ(ierr);
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if (hasnorm) {
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if (hasnorm) {
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ierr = MatNorm(A,NORM_INFINITY,&anorm);CHKERRQ(ierr);
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ierr = MatNorm(A,NORM_INFINITY,&anorm);CHKERRQ(ierr);
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ierr = PetscMalloc(eps->nev*sizeof(PetscTruth),&select);CHKERRQ(ierr);
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ierr = PetscMalloc(eps->nev*sizeof(PetscTruth),&select);CHKERRQ(ierr);
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}
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}
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}
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}
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ierr = EPSGetStartVector(eps,0,v,PETSC_NULL);CHKERRQ(ierr);
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ierr = EPSGetStartVector(eps,0,v,PETSC_NULL);CHKERRQ(ierr);
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ierr = STGetShift(eps->OP,&sigma);CHKERRQ(ierr); /* original shift */
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ierr = STGetShift(eps->OP,&sigma);CHKERRQ(ierr); /* original shift */
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rho = sigma;
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rho = sigma;
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while (eps->reason == EPS_CONVERGED_ITERATING) {
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while (eps->reason == EPS_CONVERGED_ITERATING) {
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eps->its = eps->its + 1;
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eps->its = eps->its + 1;
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/* y = OP v */
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/* y = OP v */
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ierr = STApply(eps->OP,v,y);CHKERRQ(ierr);
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ierr = STApply(eps->OP,v,y);CHKERRQ(ierr);
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/* theta = (v,y)_B */
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/* theta = (v,y)_B */
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ierr = IPInnerProduct(eps->ip,v,y,&theta);CHKERRQ(ierr);
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ierr = IPInnerProduct(eps->ip,v,y,&theta);CHKERRQ(ierr);
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if (power->shift_type == EPS_POWER_SHIFT_CONSTANT) { /* direct & inverse iteration */
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if (power->shift_type == EPS_POWER_SHIFT_CONSTANT) { /* direct & inverse iteration */
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/* approximate eigenvalue is the Rayleigh quotient */
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/* approximate eigenvalue is the Rayleigh quotient */
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eps->eigr[eps->nconv] = theta;
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eps->eigr[eps->nconv] = theta;
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/* compute relative error as ||y-theta v||_2/|theta| */
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/* compute relative error as ||y-theta v||_2/|theta| */
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ierr = VecCopy(y,e);CHKERRQ(ierr);
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ierr = VecCopy(y,e);CHKERRQ(ierr);
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ierr = VecAXPY(e,-theta,v);CHKERRQ(ierr);
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ierr = VecAXPY(e,-theta,v);CHKERRQ(ierr);
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ierr = VecNorm(e,NORM_2,&norm);CHKERRQ(ierr);
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ierr = VecNorm(e,NORM_2,&norm);CHKERRQ(ierr);
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relerr = norm / PetscAbsScalar(theta);
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relerr = norm / PetscAbsScalar(theta);
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} else { /* RQI */
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} else { /* RQI */
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/* delta = ||y||_B */
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/* delta = ||y||_B */
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ierr = IPNorm(eps->ip,y,&norm);CHKERRQ(ierr);
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ierr = IPNorm(eps->ip,y,&norm);CHKERRQ(ierr);
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delta = norm;
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delta = norm;
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/* compute relative error */
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/* compute relative error */
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if (rho == 0.0) relerr = PETSC_MAX;
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if (rho == 0.0) relerr = PETSC_MAX;
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else relerr = 1.0 / (norm*PetscAbsScalar(rho));
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else relerr = 1.0 / (norm*PetscAbsScalar(rho));
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/* approximate eigenvalue is the shift */
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/* approximate eigenvalue is the shift */
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eps->eigr[eps->nconv] = rho;
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eps->eigr[eps->nconv] = rho;
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/* compute new shift */
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/* compute new shift */
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if (relerr<eps->tol) {
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if (relerr<eps->tol) {
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rho = sigma; /* if converged, restore original shift */
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rho = sigma; /* if converged, restore original shift */
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ierr = STSetShift(eps->OP,rho);CHKERRQ(ierr);
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ierr = STSetShift(eps->OP,rho);CHKERRQ(ierr);
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} else {
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} else {
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rho = rho + theta/(delta*delta); /* Rayleigh quotient R(v) */
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rho = rho + theta/(delta*delta); /* Rayleigh quotient R(v) */
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if (power->shift_type == EPS_POWER_SHIFT_WILKINSON) {
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if (power->shift_type == EPS_POWER_SHIFT_WILKINSON) {
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#if defined(SLEPC_MISSING_LAPACK_LAEV2)
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#if defined(SLEPC_MISSING_LAPACK_LAEV2)
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SETERRQ(PETSC_ERR_SUP,"LAEV2 - Lapack routine is unavailable.");
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SETERRQ(PETSC_ERR_SUP,"LAEV2 - Lapack routine is unavailable.");
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#else
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#else
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/* beta1 is the norm of the residual associated to R(v) */
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/* beta1 is the norm of the residual associated to R(v) */
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ierr = VecAXPY(v,-theta/(delta*delta),y);CHKERRQ(ierr);
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ierr = VecAXPY(v,-theta/(delta*delta),y);CHKERRQ(ierr);
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ierr = VecScale(v,1.0/delta);CHKERRQ(ierr);
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ierr = VecScale(v,1.0/delta);CHKERRQ(ierr);
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ierr = IPNorm(eps->ip,v,&norm);CHKERRQ(ierr);
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ierr = IPNorm(eps->ip,v,&norm);CHKERRQ(ierr);
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beta1 = norm;
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beta1 = norm;
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/* alpha2 = (e'*A*e)/(beta1*beta1), where e is the residual */
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/* alpha2 = (e'*A*e)/(beta1*beta1), where e is the residual */
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ierr = STGetOperators(eps->OP,&A,PETSC_NULL);CHKERRQ(ierr);
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ierr = STGetOperators(eps->OP,&A,PETSC_NULL);CHKERRQ(ierr);
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ierr = MatMult(A,v,e);CHKERRQ(ierr);
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ierr = MatMult(A,v,e);CHKERRQ(ierr);
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ierr = VecDot(v,e,&alpha2);CHKERRQ(ierr);
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ierr = VecDot(v,e,&alpha2);CHKERRQ(ierr);
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alpha2 = alpha2 / (beta1 * beta1);
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alpha2 = alpha2 / (beta1 * beta1);
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|
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/* choose the eigenvalue of [rho beta1; beta1 alpha2] closest to rho */
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/* choose the eigenvalue of [rho beta1; beta1 alpha2] closest to rho */
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LAPACKlaev2_(&rho,&beta1,&alpha2,&rt1,&rt2,&cs1,&sn1);
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LAPACKlaev2_(&rho,&beta1,&alpha2,&rt1,&rt2,&cs1,&sn1);
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if (PetscAbsScalar(rt1-rho) < PetscAbsScalar(rt2-rho)) rho = rt1;
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if (PetscAbsScalar(rt1-rho) < PetscAbsScalar(rt2-rho)) rho = rt1;
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else rho = rt2;
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else rho = rt2;
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#endif
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#endif
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}
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}
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/* update operator according to new shift */
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/* update operator according to new shift */
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PetscPushErrorHandler(PetscIgnoreErrorHandler,PETSC_NULL);
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PetscPushErrorHandler(PetscIgnoreErrorHandler,PETSC_NULL);
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ierr = STSetShift(eps->OP,rho);
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ierr = STSetShift(eps->OP,rho);
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PetscPopErrorHandler();
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PetscPopErrorHandler();
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if (ierr) {
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if (ierr) {
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eps->eigr[eps->nconv] = rho;
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eps->eigr[eps->nconv] = rho;
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relerr = PETSC_MACHINE_EPSILON;
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relerr = PETSC_MACHINE_EPSILON;
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rho = sigma;
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rho = sigma;
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ierr = STSetShift(eps->OP,rho);CHKERRQ(ierr);
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ierr = STSetShift(eps->OP,rho);CHKERRQ(ierr);
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}
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}
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}
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}
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}
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}
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|
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eps->errest[eps->nconv] = relerr;
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eps->errest[eps->nconv] = relerr;
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EPSMonitor(eps,eps->its,eps->nconv,eps->eigr,eps->eigi,eps->errest,eps->nconv+1);
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EPSMonitor(eps,eps->its,eps->nconv,eps->eigr,eps->eigi,eps->errest,eps->nconv+1);
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|
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/* purge previously converged eigenvectors */
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/* purge previously converged eigenvectors */
|
if (select) {
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if (select) {
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for (i=0;i<eps->nconv;i++) {
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for (i=0;i<eps->nconv;i++) {
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if(PetscAbsScalar(rho-eps->eigr[i])>eps->its*anorm/1000) select[i] = PETSC_TRUE;
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if(PetscAbsScalar(rho-eps->eigr[i])>eps->its*anorm/1000) select[i] = PETSC_TRUE;
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else select[i] = PETSC_FALSE;
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else select[i] = PETSC_FALSE;
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}
|
}
|
ierr = IPOrthogonalize(eps->ip,eps->nds,eps->DS,eps->nconv,select,eps->V,y,PETSC_NULL,&norm,PETSC_NULL);CHKERRQ(ierr);
|
ierr = IPOrthogonalize(eps->ip,eps->nds,eps->DS,eps->nconv,select,eps->V,y,PETSC_NULL,&norm,PETSC_NULL);CHKERRQ(ierr);
|
} else {
|
} else {
|
ierr = IPOrthogonalize(eps->ip,eps->nds,eps->DS,eps->nconv,PETSC_NULL,eps->V,y,PETSC_NULL,&norm,PETSC_NULL);CHKERRQ(ierr);
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ierr = IPOrthogonalize(eps->ip,eps->nds,eps->DS,eps->nconv,PETSC_NULL,eps->V,y,PETSC_NULL,&norm,PETSC_NULL);CHKERRQ(ierr);
|
}
|
}
|
|
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/* v = y/||y||_B */
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/* v = y/||y||_B */
|
ierr = VecCopy(y,v);CHKERRQ(ierr);
|
ierr = VecCopy(y,v);CHKERRQ(ierr);
|
ierr = VecScale(v,1.0/norm);CHKERRQ(ierr);
|
ierr = VecScale(v,1.0/norm);CHKERRQ(ierr);
|
|
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/* if relerr<tol, accept eigenpair */
|
/* if relerr<tol, accept eigenpair */
|
if (relerr<eps->tol) {
|
if (relerr<eps->tol) {
|
eps->nconv = eps->nconv + 1;
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eps->nconv = eps->nconv + 1;
|
if (eps->nconv==eps->nev) eps->reason = EPS_CONVERGED_TOL;
|
if (eps->nconv==eps->nev) eps->reason = EPS_CONVERGED_TOL;
|
else {
|
else {
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v = eps->V[eps->nconv];
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v = eps->V[eps->nconv];
|
ierr = EPSGetStartVector(eps,eps->nconv,v,&breakdown);CHKERRQ(ierr);
|
ierr = EPSGetStartVector(eps,eps->nconv,v,&breakdown);CHKERRQ(ierr);
|
if (breakdown) {
|
if (breakdown) {
|
eps->reason = EPS_DIVERGED_BREAKDOWN;
|
eps->reason = EPS_DIVERGED_BREAKDOWN;
|
PetscInfo(eps,"Unable to generate more start vectors\n");
|
PetscInfo(eps,"Unable to generate more start vectors\n");
|
}
|
}
|
}
|
}
|
}
|
}
|
|
|
if (eps->its >= eps->max_it) eps->reason = EPS_DIVERGED_ITS;
|
if (eps->its >= eps->max_it) eps->reason = EPS_DIVERGED_ITS;
|
}
|
}
|
|
|
ierr = PetscFree(select);CHKERRQ(ierr);
|
ierr = PetscFree(select);CHKERRQ(ierr);
|
|
|
PetscFunctionReturn(0);
|
PetscFunctionReturn(0);
|
}
|
}
|
|
|
#undef __FUNCT__
|
#undef __FUNCT__
|
#define __FUNCT__ "EPSSolve_TS_POWER"
|
#define __FUNCT__ "EPSSolve_TS_POWER"
|
PetscErrorCode EPSSolve_TS_POWER(EPS eps)
|
PetscErrorCode EPSSolve_TS_POWER(EPS eps)
|
{
|
{
|
PetscErrorCode ierr;
|
PetscErrorCode ierr;
|
EPS_POWER *power = (EPS_POWER *)eps->data;
|
EPS_POWER *power = (EPS_POWER *)eps->data;
|
Vec v, w, y, z, e;
|
Vec v, w, y, z, e;
|
Mat A;
|
Mat A;
|
PetscReal relerr, norm, rt1, rt2, cs1;
|
PetscReal relerr, norm, rt1, rt2, cs1;
|
PetscScalar theta, alpha, beta, rho, delta, sigma, alpha2, beta1, sn1;
|
PetscScalar theta, alpha, beta, rho, delta, sigma, alpha2, beta1, sn1;
|
|
|
PetscFunctionBegin;
|
PetscFunctionBegin;
|
v = eps->V[0];
|
v = eps->V[0];
|
y = eps->work[1];
|
y = eps->work[1];
|
e = eps->work[0];
|
e = eps->work[0];
|
w = eps->W[0];
|
w = eps->W[0];
|
z = eps->work[2];
|
z = eps->work[2];
|
|
|
ierr = EPSGetStartVector(eps,0,v,PETSC_NULL);CHKERRQ(ierr);
|
ierr = EPSGetStartVector(eps,0,v,PETSC_NULL);CHKERRQ(ierr);
|
ierr = EPSGetStartVectorLeft(eps,0,w,PETSC_NULL);CHKERRQ(ierr);
|
ierr = EPSGetStartVectorLeft(eps,0,w,PETSC_NULL);CHKERRQ(ierr);
|
ierr = STGetShift(eps->OP,&sigma);CHKERRQ(ierr); /* original shift */
|
ierr = STGetShift(eps->OP,&sigma);CHKERRQ(ierr); /* original shift */
|
rho = sigma;
|
rho = sigma;
|
|
|
while (eps->its<eps->max_it) {
|
while (eps->its<eps->max_it) {
|
eps->its++;
|
eps->its++;
|
|
|
/* y = OP v, z = OP' w */
|
/* y = OP v, z = OP' w */
|
ierr = STApply(eps->OP,v,y);CHKERRQ(ierr);
|
ierr = STApply(eps->OP,v,y);CHKERRQ(ierr);
|
ierr = STApplyTranspose(eps->OP,w,z);CHKERRQ(ierr);
|
ierr = STApplyTranspose(eps->OP,w,z);CHKERRQ(ierr);
|
|
|
/* theta = (v,z)_B */
|
/* theta = (v,z)_B */
|
ierr = IPInnerProduct(eps->ip,v,z,&theta);CHKERRQ(ierr);
|
ierr = IPInnerProduct(eps->ip,v,z,&theta);CHKERRQ(ierr);
|
|
|
if (power->shift_type == EPS_POWER_SHIFT_CONSTANT) { /* direct & inverse iteration */
|
if (power->shift_type == EPS_POWER_SHIFT_CONSTANT) { /* direct & inverse iteration */
|
|
|
/* approximate eigenvalue is the Rayleigh quotient */
|
/* approximate eigenvalue is the Rayleigh quotient */
|
eps->eigr[eps->nconv] = theta;
|
eps->eigr[eps->nconv] = theta;
|
|
|
/* compute relative errors (right and left) */
|
/* compute relative errors (right and left) */
|
ierr = VecCopy(y,e);CHKERRQ(ierr);
|
ierr = VecCopy(y,e);CHKERRQ(ierr);
|
ierr = VecAXPY(e,-theta,v);CHKERRQ(ierr);
|
ierr = VecAXPY(e,-theta,v);CHKERRQ(ierr);
|
ierr = VecNorm(e,NORM_2,&norm);CHKERRQ(ierr);
|
ierr = VecNorm(e,NORM_2,&norm);CHKERRQ(ierr);
|
relerr = norm / PetscAbsScalar(theta);
|
relerr = norm / PetscAbsScalar(theta);
|
eps->errest[eps->nconv] = relerr;
|
eps->errest[eps->nconv] = relerr;
|
ierr = VecCopy(z,e);CHKERRQ(ierr);
|
ierr = VecCopy(z,e);CHKERRQ(ierr);
|
ierr = VecAXPY(e,-theta,w);CHKERRQ(ierr);
|
ierr = VecAXPY(e,-theta,w);CHKERRQ(ierr);
|
ierr = VecNorm(e,NORM_2,&norm);CHKERRQ(ierr);
|
ierr = VecNorm(e,NORM_2,&norm);CHKERRQ(ierr);
|
relerr = norm / PetscAbsScalar(theta);
|
relerr = norm / PetscAbsScalar(theta);
|
eps->errest_left[eps->nconv] = relerr;
|
eps->errest_left[eps->nconv] = relerr;
|
|
|
} else { /* RQI */
|
} else { /* RQI */
|
|
|
/* delta = sqrt(y,z)_B */
|
/* delta = sqrt(y,z)_B */
|
ierr = IPInnerProduct(eps->ip,y,z,&alpha);CHKERRQ(ierr);
|
ierr = IPInnerProduct(eps->ip,y,z,&alpha);CHKERRQ(ierr);
|
if (alpha==0.0) SETERRQ(1,"Breakdown in two-sided Power/RQI");
|
if (alpha==0.0) SETERRQ(1,"Breakdown in two-sided Power/RQI");
|
delta = PetscSqrtScalar(alpha);
|
delta = PetscSqrtScalar(alpha);
|
|
|
/* compute relative error */
|
/* compute relative error */
|
if (rho == 0.0) relerr = PETSC_MAX;
|
if (rho == 0.0) relerr = PETSC_MAX;
|
else relerr = 1.0 / (PetscAbsScalar(delta*rho));
|
else relerr = 1.0 / (PetscAbsScalar(delta*rho));
|
eps->errest[eps->nconv] = relerr;
|
eps->errest[eps->nconv] = relerr;
|
eps->errest_left[eps->nconv] = relerr;
|
eps->errest_left[eps->nconv] = relerr;
|
|
|
/* approximate eigenvalue is the shift */
|
/* approximate eigenvalue is the shift */
|
eps->eigr[eps->nconv] = rho;
|
eps->eigr[eps->nconv] = rho;
|
|
|
/* compute new shift */
|
/* compute new shift */
|
if (eps->errest[eps->nconv]<eps->tol && eps->errest_left[eps->nconv]<eps->tol) {
|
if (eps->errest[eps->nconv]<eps->tol && eps->errest_left[eps->nconv]<eps->tol) {
|
rho = sigma; /* if converged, restore original shift */
|
rho = sigma; /* if converged, restore original shift */
|
ierr = STSetShift(eps->OP,rho);CHKERRQ(ierr);
|
ierr = STSetShift(eps->OP,rho);CHKERRQ(ierr);
|
} else {
|
} else {
|
rho = rho + theta/(delta*delta); /* Rayleigh quotient R(v,w) */
|
rho = rho + theta/(delta*delta); /* Rayleigh quotient R(v,w) */
|
if (power->shift_type == EPS_POWER_SHIFT_WILKINSON) {
|
if (power->shift_type == EPS_POWER_SHIFT_WILKINSON) {
|
#if defined(SLEPC_MISSING_LAPACK_LAEV2)
|
#if defined(SLEPC_MISSING_LAPACK_LAEV2)
|
SETERRQ(PETSC_ERR_SUP,"LAEV2 - Lapack routine is unavailable.");
|
SETERRQ(PETSC_ERR_SUP,"LAEV2 - Lapack routine is unavailable.");
|
#else
|
#else
|
/* beta1 is the norm of the residual associated to R(v,w) */
|
/* beta1 is the norm of the residual associated to R(v,w) */
|
ierr = VecAXPY(v,-theta/(delta*delta),y);CHKERRQ(ierr);
|
ierr = VecAXPY(v,-theta/(delta*delta),y);CHKERRQ(ierr);
|
ierr = VecScale(v,1.0/delta);CHKERRQ(ierr);
|
ierr = VecScale(v,1.0/delta);CHKERRQ(ierr);
|
ierr = IPNorm(eps->ip,v,&norm);CHKERRQ(ierr);
|
ierr = IPNorm(eps->ip,v,&norm);CHKERRQ(ierr);
|
beta1 = norm;
|
beta1 = norm;
|
|
|
/* alpha2 = (e'*A*e)/(beta1*beta1), where e is the residual */
|
/* alpha2 = (e'*A*e)/(beta1*beta1), where e is the residual */
|
ierr = STGetOperators(eps->OP,&A,PETSC_NULL);CHKERRQ(ierr);
|
ierr = STGetOperators(eps->OP,&A,PETSC_NULL);CHKERRQ(ierr);
|
ierr = MatMult(A,v,e);CHKERRQ(ierr);
|
ierr = MatMult(A,v,e);CHKERRQ(ierr);
|
ierr = VecDot(v,e,&alpha2);CHKERRQ(ierr);
|
ierr = VecDot(v,e,&alpha2);CHKERRQ(ierr);
|
alpha2 = alpha2 / (beta1 * beta1);
|
alpha2 = alpha2 / (beta1 * beta1);
|
|
|
/* choose the eigenvalue of [rho beta1; beta1 alpha2] closest to rho */
|
/* choose the eigenvalue of [rho beta1; beta1 alpha2] closest to rho */
|
LAPACKlaev2_(&rho,&beta1,&alpha2,&rt1,&rt2,&cs1,&sn1);
|
LAPACKlaev2_(&rho,&beta1,&alpha2,&rt1,&rt2,&cs1,&sn1);
|
if (PetscAbsScalar(rt1-rho) < PetscAbsScalar(rt2-rho)) rho = rt1;
|
if (PetscAbsScalar(rt1-rho) < PetscAbsScalar(rt2-rho)) rho = rt1;
|
else rho = rt2;
|
else rho = rt2;
|
#endif
|
#endif
|
}
|
}
|
/* update operator according to new shift */
|
/* update operator according to new shift */
|
PetscPushErrorHandler(PetscIgnoreErrorHandler,PETSC_NULL);
|
PetscPushErrorHandler(PetscIgnoreErrorHandler,PETSC_NULL);
|
ierr = STSetShift(eps->OP,rho);
|
ierr = STSetShift(eps->OP,rho);
|
PetscPopErrorHandler();
|
PetscPopErrorHandler();
|
if (ierr) {
|
if (ierr) {
|
eps->eigr[eps->nconv] = rho;
|
eps->eigr[eps->nconv] = rho;
|
eps->errest[eps->nconv] = PETSC_MACHINE_EPSILON;
|
eps->errest[eps->nconv] = PETSC_MACHINE_EPSILON;
|
eps->errest_left[eps->nconv] = PETSC_MACHINE_EPSILON;
|
eps->errest_left[eps->nconv] = PETSC_MACHINE_EPSILON;
|
rho = sigma;
|
rho = sigma;
|
ierr = STSetShift(eps->OP,rho);CHKERRQ(ierr);
|
ierr = STSetShift(eps->OP,rho);CHKERRQ(ierr);
|
}
|
}
|
}
|
}
|
}
|
}
|
|
|
EPSMonitor(eps,eps->its,eps->nconv,eps->eigr,eps->eigi,eps->errest,eps->nconv+1);
|
EPSMonitor(eps,eps->its,eps->nconv,eps->eigr,eps->eigi,eps->errest,eps->nconv+1);
|
EPSMonitor(eps,eps->its,eps->nconv,eps->eigr,eps->eigi,eps->errest_left,eps->nconv+1);
|
EPSMonitor(eps,eps->its,eps->nconv,eps->eigr,eps->eigi,eps->errest_left,eps->nconv+1);
|
|
|
/* purge previously converged eigenvectors */
|
/* purge previously converged eigenvectors */
|
ierr = IPBiOrthogonalize(eps->ip,eps->nconv,eps->V,eps->W,z,PETSC_NULL,PETSC_NULL);CHKERRQ(ierr);
|
ierr = IPBiOrthogonalize(eps->ip,eps->nconv,eps->V,eps->W,z,PETSC_NULL,PETSC_NULL);CHKERRQ(ierr);
|
ierr = IPBiOrthogonalize(eps->ip,eps->nconv,eps->W,eps->V,y,PETSC_NULL,PETSC_NULL);CHKERRQ(ierr);
|
ierr = IPBiOrthogonalize(eps->ip,eps->nconv,eps->W,eps->V,y,PETSC_NULL,PETSC_NULL);CHKERRQ(ierr);
|
|
|
/* normalize so that (y,z)_B=1 */
|
/* normalize so that (y,z)_B=1 */
|
ierr = VecCopy(y,v);CHKERRQ(ierr);
|
ierr = VecCopy(y,v);CHKERRQ(ierr);
|
ierr = VecCopy(z,w);CHKERRQ(ierr);
|
ierr = VecCopy(z,w);CHKERRQ(ierr);
|
ierr = IPInnerProduct(eps->ip,y,z,&alpha);CHKERRQ(ierr);
|
ierr = IPInnerProduct(eps->ip,y,z,&alpha);CHKERRQ(ierr);
|
if (alpha==0.0) SETERRQ(1,"Breakdown in two-sided Power/RQI");
|
if (alpha==0.0) SETERRQ(1,"Breakdown in two-sided Power/RQI");
|
delta = PetscSqrtScalar(PetscAbsScalar(alpha));
|
delta = PetscSqrtScalar(PetscAbsScalar(alpha));
|
beta = 1.0/PetscConj(alpha/delta);
|
beta = 1.0/PetscConj(alpha/delta);
|
delta = 1.0/delta;
|
delta = 1.0/delta;
|
ierr = VecScale(w,beta);CHKERRQ(ierr);
|
ierr = VecScale(w,beta);CHKERRQ(ierr);
|
ierr = VecScale(v,delta);CHKERRQ(ierr);
|
ierr = VecScale(v,delta);CHKERRQ(ierr);
|
|
|
/* if relerr<tol (both right and left), accept eigenpair */
|
/* if relerr<tol (both right and left), accept eigenpair */
|
if (eps->errest[eps->nconv]<eps->tol && eps->errest_left[eps->nconv]<eps->tol) {
|
if (eps->errest[eps->nconv]<eps->tol && eps->errest_left[eps->nconv]<eps->tol) {
|
eps->nconv = eps->nconv + 1;
|
eps->nconv = eps->nconv + 1;
|
if (eps->nconv==eps->nev) break;
|
if (eps->nconv==eps->nev) break;
|
v = eps->V[eps->nconv];
|
v = eps->V[eps->nconv];
|
ierr = EPSGetStartVector(eps,eps->nconv,v,PETSC_NULL);CHKERRQ(ierr);
|
ierr = EPSGetStartVector(eps,eps->nconv,v,PETSC_NULL);CHKERRQ(ierr);
|
w = eps->W[eps->nconv];
|
w = eps->W[eps->nconv];
|
ierr = EPSGetStartVectorLeft(eps,eps->nconv,w,PETSC_NULL);CHKERRQ(ierr);
|
ierr = EPSGetStartVectorLeft(eps,eps->nconv,w,PETSC_NULL);CHKERRQ(ierr);
|
}
|
}
|
}
|
}
|
|
|
if( eps->nconv == eps->nev ) eps->reason = EPS_CONVERGED_TOL;
|
if( eps->nconv == eps->nev ) eps->reason = EPS_CONVERGED_TOL;
|
else eps->reason = EPS_DIVERGED_ITS;
|
else eps->reason = EPS_DIVERGED_ITS;
|
|
|
PetscFunctionReturn(0);
|
PetscFunctionReturn(0);
|
}
|
}
|
|
|
#undef __FUNCT__
|
#undef __FUNCT__
|
#define __FUNCT__ "EPSBackTransform_POWER"
|
#define __FUNCT__ "EPSBackTransform_POWER"
|
PetscErrorCode EPSBackTransform_POWER(EPS eps)
|
PetscErrorCode EPSBackTransform_POWER(EPS eps)
|
{
|
{
|
PetscErrorCode ierr;
|
PetscErrorCode ierr;
|
EPS_POWER *power = (EPS_POWER *)eps->data;
|
EPS_POWER *power = (EPS_POWER *)eps->data;
|
|
|
PetscFunctionBegin;
|
PetscFunctionBegin;
|
if (power->shift_type == EPS_POWER_SHIFT_CONSTANT) {
|
if (power->shift_type == EPS_POWER_SHIFT_CONSTANT) {
|
ierr = EPSBackTransform_Default(eps);CHKERRQ(ierr);
|
ierr = EPSBackTransform_Default(eps);CHKERRQ(ierr);
|
}
|
}
|
PetscFunctionReturn(0);
|
PetscFunctionReturn(0);
|
}
|
}
|
|
|
#undef __FUNCT__
|
#undef __FUNCT__
|
#define __FUNCT__ "EPSSetFromOptions_POWER"
|
#define __FUNCT__ "EPSSetFromOptions_POWER"
|
PetscErrorCode EPSSetFromOptions_POWER(EPS eps)
|
PetscErrorCode EPSSetFromOptions_POWER(EPS eps)
|
{
|
{
|
PetscErrorCode ierr;
|
PetscErrorCode ierr;
|
EPS_POWER *power = (EPS_POWER *)eps->data;
|
EPS_POWER *power = (EPS_POWER *)eps->data;
|
PetscTruth flg;
|
PetscTruth flg;
|
PetscInt i;
|
PetscInt i;
|
const char *shift_list[3] = { "constant", "rayleigh", "wilkinson" };
|
const char *shift_list[3] = { "constant", "rayleigh", "wilkinson" };
|
|
|
PetscFunctionBegin;
|
PetscFunctionBegin;
|
ierr = PetscOptionsBegin(((PetscObject)eps)->comm,((PetscObject)eps)->prefix,"POWER Options","EPS");CHKERRQ(ierr);
|
ierr = PetscOptionsBegin(((PetscObject)eps)->comm,((PetscObject)eps)->prefix,"POWER Options","EPS");CHKERRQ(ierr);
|
ierr = PetscOptionsEList("-eps_power_shift_type","Shift type","EPSPowerSetShiftType",shift_list,3,shift_list[power->shift_type],&i,&flg);CHKERRQ(ierr);
|
ierr = PetscOptionsEList("-eps_power_shift_type","Shift type","EPSPowerSetShiftType",shift_list,3,shift_list[power->shift_type],&i,&flg);CHKERRQ(ierr);
|
if (flg ) power->shift_type = (EPSPowerShiftType)i;
|
if (flg ) power->shift_type = (EPSPowerShiftType)i;
|
if (power->shift_type != EPS_POWER_SHIFT_CONSTANT) {
|
if (power->shift_type != EPS_POWER_SHIFT_CONSTANT) {
|
ierr = STSetType(eps->OP,STSINVERT);CHKERRQ(ierr);
|
ierr = STSetType(eps->OP,STSINVERT);CHKERRQ(ierr);
|
}
|
}
|
ierr = PetscOptionsEnd();CHKERRQ(ierr);
|
ierr = PetscOptionsEnd();CHKERRQ(ierr);
|
PetscFunctionReturn(0);
|
PetscFunctionReturn(0);
|
}
|
}
|
|
|
EXTERN_C_BEGIN
|
EXTERN_C_BEGIN
|
#undef __FUNCT__
|
#undef __FUNCT__
|
#define __FUNCT__ "EPSPowerSetShiftType_POWER"
|
#define __FUNCT__ "EPSPowerSetShiftType_POWER"
|
PetscErrorCode EPSPowerSetShiftType_POWER(EPS eps,EPSPowerShiftType shift)
|
PetscErrorCode EPSPowerSetShiftType_POWER(EPS eps,EPSPowerShiftType shift)
|
{
|
{
|
EPS_POWER *power = (EPS_POWER *)eps->data;
|
EPS_POWER *power = (EPS_POWER *)eps->data;
|
|
|
PetscFunctionBegin;
|
PetscFunctionBegin;
|
switch (shift) {
|
switch (shift) {
|
case EPS_POWER_SHIFT_CONSTANT:
|
case EPS_POWER_SHIFT_CONSTANT:
|
case EPS_POWER_SHIFT_RAYLEIGH:
|
case EPS_POWER_SHIFT_RAYLEIGH:
|
case EPS_POWER_SHIFT_WILKINSON:
|
case EPS_POWER_SHIFT_WILKINSON:
|
power->shift_type = shift;
|
power->shift_type = shift;
|
break;
|
break;
|
default:
|
default:
|
SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,"Invalid shift type");
|
SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,"Invalid shift type");
|
}
|
}
|
PetscFunctionReturn(0);
|
PetscFunctionReturn(0);
|
}
|
}
|
EXTERN_C_END
|
EXTERN_C_END
|
|
|
#undef __FUNCT__
|
#undef __FUNCT__
|
#define __FUNCT__ "EPSPowerSetShiftType"
|
#define __FUNCT__ "EPSPowerSetShiftType"
|
/*@
|
/*@
|
EPSPowerSetShiftType - Sets the type of shifts used during the power
|
EPSPowerSetShiftType - Sets the type of shifts used during the power
|
iteration. This can be used to emulate the Rayleigh Quotient Iteration
|
iteration. This can be used to emulate the Rayleigh Quotient Iteration
|
(RQI) method.
|
(RQI) method.
|
|
|
Collective on EPS
|
Collective on EPS
|
|
|
Input Parameters:
|
Input Parameters:
|
+ eps - the eigenproblem solver context
|
+ eps - the eigenproblem solver context
|
- shift - the type of shift
|
- shift - the type of shift
|
|
|
Options Database Key:
|
Options Database Key:
|
. -eps_power_shift_type - Sets the shift type (either 'constant' or
|
. -eps_power_shift_type - Sets the shift type (either 'constant' or
|
'rayleigh' or 'wilkinson')
|
'rayleigh' or 'wilkinson')
|
|
|
Notes:
|
Notes:
|
By default, shifts are constant (EPS_POWER_SHIFT_CONSTANT) and the iteration
|
By default, shifts are constant (EPS_POWER_SHIFT_CONSTANT) and the iteration
|
is the simple power method (or inverse iteration if a shift-and-invert
|
is the simple power method (or inverse iteration if a shift-and-invert
|
transformation is being used).
|
transformation is being used).
|
|
|
A variable shift can be specified (EPS_POWER_SHIFT_RAYLEIGH or
|
A variable shift can be specified (EPS_POWER_SHIFT_RAYLEIGH or
|
EPS_POWER_SHIFT_WILKINSON). In this case, the iteration behaves rather like
|
EPS_POWER_SHIFT_WILKINSON). In this case, the iteration behaves rather like
|
a cubic converging method as RQI. See the users manual for details.
|
a cubic converging method as RQI. See the users manual for details.
|
|
|
Level: advanced
|
Level: advanced
|
|
|
.seealso: EPSPowerGetShiftType(), STSetShift(), EPSPowerShiftType
|
.seealso: EPSPowerGetShiftType(), STSetShift(), EPSPowerShiftType
|
@*/
|
@*/
|
PetscErrorCode EPSPowerSetShiftType(EPS eps,EPSPowerShiftType shift)
|
PetscErrorCode EPSPowerSetShiftType(EPS eps,EPSPowerShiftType shift)
|
{
|
{
|
PetscErrorCode ierr, (*f)(EPS,EPSPowerShiftType);
|
PetscErrorCode ierr, (*f)(EPS,EPSPowerShiftType);
|
|
|
PetscFunctionBegin;
|
PetscFunctionBegin;
|
PetscValidHeaderSpecific(eps,EPS_COOKIE,1);
|
PetscValidHeaderSpecific(eps,EPS_COOKIE,1);
|
ierr = PetscObjectQueryFunction((PetscObject)eps,"EPSPowerSetShiftType_C",(void (**)())&f);CHKERRQ(ierr);
|
ierr = PetscObjectQueryFunction((PetscObject)eps,"EPSPowerSetShiftType_C",(void (**)())&f);CHKERRQ(ierr);
|
if (f) {
|
if (f) {
|
ierr = (*f)(eps,shift);CHKERRQ(ierr);
|
ierr = (*f)(eps,shift);CHKERRQ(ierr);
|
}
|
}
|
PetscFunctionReturn(0);
|
PetscFunctionReturn(0);
|
}
|
}
|
|
|
EXTERN_C_BEGIN
|
EXTERN_C_BEGIN
|
#undef __FUNCT__
|
#undef __FUNCT__
|
#define __FUNCT__ "EPSPowerGetShiftType_POWER"
|
#define __FUNCT__ "EPSPowerGetShiftType_POWER"
|
PetscErrorCode EPSPowerGetShiftType_POWER(EPS eps,EPSPowerShiftType *shift)
|
PetscErrorCode EPSPowerGetShiftType_POWER(EPS eps,EPSPowerShiftType *shift)
|
{
|
{
|
EPS_POWER *power = (EPS_POWER *)eps->data;
|
EPS_POWER *power = (EPS_POWER *)eps->data;
|
PetscFunctionBegin;
|
PetscFunctionBegin;
|
*shift = power->shift_type;
|
*shift = power->shift_type;
|
PetscFunctionReturn(0);
|
PetscFunctionReturn(0);
|
}
|
}
|
EXTERN_C_END
|
EXTERN_C_END
|
|
|
#undef __FUNCT__
|
#undef __FUNCT__
|
#define __FUNCT__ "EPSPowerGetShiftType"
|
#define __FUNCT__ "EPSPowerGetShiftType"
|
/*@C
|
/*@C
|
EPSPowerGetShiftType - Gets the type of shifts used during the power
|
EPSPowerGetShiftType - Gets the type of shifts used during the power
|
iteration.
|
iteration.
|
|
|
Collective on EPS
|
Collective on EPS
|
|
|
Input Parameter:
|
Input Parameter:
|
. eps - the eigenproblem solver context
|
. eps - the eigenproblem solver context
|
|
|
Input Parameter:
|
Input Parameter:
|
. shift - the type of shift
|
. shift - the type of shift
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Level: advanced
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Level: advanced
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.seealso: EPSPowerSetShiftType(), EPSPowerShiftType
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.seealso: EPSPowerSetShiftType(), EPSPowerShiftType
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@*/
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@*/
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PetscErrorCode EPSPowerGetShiftType(EPS eps,EPSPowerShiftType *shift)
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PetscErrorCode EPSPowerGetShiftType(EPS eps,EPSPowerShiftType *shift)
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{
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{
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PetscErrorCode ierr, (*f)(EPS,EPSPowerShiftType*);
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PetscErrorCode ierr, (*f)(EPS,EPSPowerShiftType*);
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PetscFunctionBegin;
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PetscFunctionBegin;
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PetscValidHeaderSpecific(eps,EPS_COOKIE,1);
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PetscValidHeaderSpecific(eps,EPS_COOKIE,1);
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ierr = PetscObjectQueryFunction((PetscObject)eps,"EPSPowerGetShiftType_C",(void (**)())&f);CHKERRQ(ierr);
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ierr = PetscObjectQueryFunction((PetscObject)eps,"EPSPowerGetShiftType_C",(void (**)())&f);CHKERRQ(ierr);
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if (f) {
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if (f) {
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ierr = (*f)(eps,shift);CHKERRQ(ierr);
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ierr = (*f)(eps,shift);CHKERRQ(ierr);
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}
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}
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PetscFunctionReturn(0);
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PetscFunctionReturn(0);
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}
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}
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#undef __FUNCT__
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#undef __FUNCT__
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#define __FUNCT__ "EPSDestroy_POWER"
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#define __FUNCT__ "EPSDestroy_POWER"
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PetscErrorCode EPSDestroy_POWER(EPS eps)
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PetscErrorCode EPSDestroy_POWER(EPS eps)
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{
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{
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PetscErrorCode ierr;
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PetscErrorCode ierr;
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PetscFunctionBegin;
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PetscFunctionBegin;
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PetscValidHeaderSpecific(eps,EPS_COOKIE,1);
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PetscValidHeaderSpecific(eps,EPS_COOKIE,1);
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ierr = EPSDestroy_Default(eps);CHKERRQ(ierr);
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ierr = EPSDestroy_Default(eps);CHKERRQ(ierr);
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ierr = PetscObjectComposeFunctionDynamic((PetscObject)eps,"EPSPowerSetShiftType_C","",PETSC_NULL);CHKERRQ(ierr);
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ierr = PetscObjectComposeFunctionDynamic((PetscObject)eps,"EPSPowerSetShiftType_C","",PETSC_NULL);CHKERRQ(ierr);
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ierr = PetscObjectComposeFunctionDynamic((PetscObject)eps,"EPSPowerGetShiftType_C","",PETSC_NULL);CHKERRQ(ierr);
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ierr = PetscObjectComposeFunctionDynamic((PetscObject)eps,"EPSPowerGetShiftType_C","",PETSC_NULL);CHKERRQ(ierr);
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PetscFunctionReturn(0);
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PetscFunctionReturn(0);
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}
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}
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#undef __FUNCT__
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#undef __FUNCT__
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#define __FUNCT__ "EPSView_POWER"
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#define __FUNCT__ "EPSView_POWER"
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PetscErrorCode EPSView_POWER(EPS eps,PetscViewer viewer)
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PetscErrorCode EPSView_POWER(EPS eps,PetscViewer viewer)
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{
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{
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PetscErrorCode ierr;
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PetscErrorCode ierr;
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EPS_POWER *power = (EPS_POWER *)eps->data;
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EPS_POWER *power = (EPS_POWER *)eps->data;
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PetscTruth isascii;
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PetscTruth isascii;
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const char *shift_list[3] = { "constant", "rayleigh", "wilkinson" };
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const char *shift_list[3] = { "constant", "rayleigh", "wilkinson" };
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PetscFunctionBegin;
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PetscFunctionBegin;
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ierr = PetscTypeCompare((PetscObject)viewer,PETSC_VIEWER_ASCII,&isascii);CHKERRQ(ierr);
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ierr = PetscTypeCompare((PetscObject)viewer,PETSC_VIEWER_ASCII,&isascii);CHKERRQ(ierr);
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if (!isascii) {
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if (!isascii) {
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SETERRQ1(1,"Viewer type %s not supported for EPS_POWER",((PetscObject)viewer)->type_name);
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SETERRQ1(1,"Viewer type %s not supported for EPS_POWER",((PetscObject)viewer)->type_name);
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}
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}
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ierr = PetscViewerASCIIPrintf(viewer,"shift type: %s\n",shift_list[power->shift_type]);CHKERRQ(ierr);
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ierr = PetscViewerASCIIPrintf(viewer,"shift type: %s\n",shift_list[power->shift_type]);CHKERRQ(ierr);
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PetscFunctionReturn(0);
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PetscFunctionReturn(0);
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}
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}
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EXTERN_C_BEGIN
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EXTERN_C_BEGIN
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#undef __FUNCT__
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#undef __FUNCT__
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#define __FUNCT__ "EPSCreate_POWER"
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#define __FUNCT__ "EPSCreate_POWER"
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PetscErrorCode EPSCreate_POWER(EPS eps)
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PetscErrorCode EPSCreate_POWER(EPS eps)
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{
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{
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PetscErrorCode ierr;
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PetscErrorCode ierr;
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EPS_POWER *power;
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EPS_POWER *power;
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PetscFunctionBegin;
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PetscFunctionBegin;
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ierr = PetscNew(EPS_POWER,&power);CHKERRQ(ierr);
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ierr = PetscNew(EPS_POWER,&power);CHKERRQ(ierr);
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PetscLogObjectMemory(eps,sizeof(EPS_POWER));
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PetscLogObjectMemory(eps,sizeof(EPS_POWER));
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eps->data = (void *) power;
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eps->data = (void *) power;
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eps->ops->setup = EPSSetUp_POWER;
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eps->ops->setup = EPSSetUp_POWER;
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eps->ops->setfromoptions = EPSSetFromOptions_POWER;
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eps->ops->setfromoptions = EPSSetFromOptions_POWER;
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eps->ops->destroy = EPSDestroy_POWER;
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eps->ops->destroy = EPSDestroy_POWER;
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eps->ops->view = EPSView_POWER;
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eps->ops->view = EPSView_POWER;
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eps->ops->backtransform = EPSBackTransform_POWER;
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eps->ops->backtransform = EPSBackTransform_POWER;
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eps->ops->computevectors = EPSComputeVectors_Default;
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eps->ops->computevectors = EPSComputeVectors_Default;
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power->shift_type = EPS_POWER_SHIFT_CONSTANT;
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power->shift_type = EPS_POWER_SHIFT_CONSTANT;
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ierr = PetscObjectComposeFunctionDynamic((PetscObject)eps,"EPSPowerSetShiftType_C","EPSPowerSetShiftType_POWER",EPSPowerSetShiftType_POWER);CHKERRQ(ierr);
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ierr = PetscObjectComposeFunctionDynamic((PetscObject)eps,"EPSPowerSetShiftType_C","EPSPowerSetShiftType_POWER",EPSPowerSetShiftType_POWER);CHKERRQ(ierr);
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ierr = PetscObjectComposeFunctionDynamic((PetscObject)eps,"EPSPowerGetShiftType_C","EPSPowerGetShiftType_POWER",EPSPowerGetShiftType_POWER);CHKERRQ(ierr);
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ierr = PetscObjectComposeFunctionDynamic((PetscObject)eps,"EPSPowerGetShiftType_C","EPSPowerGetShiftType_POWER",EPSPowerGetShiftType_POWER);CHKERRQ(ierr);
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PetscFunctionReturn(0);
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PetscFunctionReturn(0);
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}
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}
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EXTERN_C_END
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EXTERN_C_END
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