mfem::HypreLOBPCG Class Reference

#include <hypre.hpp>

Public Member Functions
	HypreLOBPCG (MPI_Comm comm)
	~HypreLOBPCG ()
void	SetTol (double tol)
void	SetMaxIter (int max_iter)
void	SetPrintLevel (int logging)
void	SetNumModes (int num_eigs)
void	SetPrecondUsageMode (int pcg_mode)
void	SetRandomSeed (int s)
void	SetPreconditioner (Solver &precond)
void	SetOperator (Operator &A)
void	SetMassMatrix (Operator &M)
void	Solve ()
	Solve the eigenproblem. More...
void	GetEigenvalues (Array< double > &eigenvalues)
	Collect the converged eigenvalues. More...
HypreParVector &	GetEigenvector (unsigned int i)
	Extract a single eigenvector. More...
HypreParVector **	StealEigenvectors ()
	Transfer ownership of the converged eigenvectors. More...

Detailed Description

LOBPCG eigenvalue solver in hypre

The Locally Optimal Block Preconditioned Conjugate Gradient (LOBPCG) eigenvalue solver is designed to find the lowest eigenmodes of the generalized eigenvalue problem: A x = lambda M x where A is symmetric, potentially indefinite and M is symmetric positive definite. The eigenvectors are M-orthonormal, meaning that x^T M x = 1 and x^T M y = 0, if x and y are distinct eigenvectors. The matrix M is optional and is assumed to be the identity if left unset.

The efficiency of LOBPCG relies on the availability of a suitable preconditioner for the matrix A. The preconditioner is supplied through the SetPreconditioner() method. It should be noted that the operator used with the preconditioner need not be A itself.

For more information regarding LOBPCG see "Block Locally Optimal Preconditioned Eigenvalue Xolvers (BLOPEX) in Hypre and PETSc" by A. Knyazev, M. Argentati, I. Lashuk, and E. Ovtchinnikov, SISC, 29(5), 2224-2239, 2007.

Definition at line 847 of file hypre.hpp.

Constructor & Destructor Documentation

mfem::HypreLOBPCG::HypreLOBPCG

(

MPI_Comm

comm

)

Definition at line 2969 of file hypre.cpp.

mfem::HypreLOBPCG::~HypreLOBPCG

(

)

Definition at line 2988 of file hypre.cpp.

Member Function Documentation

void mfem::HypreLOBPCG::GetEigenvalues

(

Array< double > &

eigenvalues

)

Collect the converged eigenvalues.

Definition at line 3090 of file hypre.cpp.

HypreParVector & mfem::HypreLOBPCG::GetEigenvector

(

unsigned int

i

)

Extract a single eigenvector.

Definition at line 3102 of file hypre.cpp.

void mfem::HypreLOBPCG::SetMassMatrix

(

Operator &

M

)

Definition at line 3080 of file hypre.cpp.

void mfem::HypreLOBPCG::SetMaxIter

(

int

max_iter

)

Definition at line 3004 of file hypre.cpp.

void mfem::HypreLOBPCG::SetNumModes ( int  num_eigs )

inline

Definition at line 937 of file hypre.hpp.

void mfem::HypreLOBPCG::SetOperator

(

Operator &

A

)

Definition at line 3034 of file hypre.cpp.

void mfem::HypreLOBPCG::SetPreconditioner

(

Solver &

precond

)

Definition at line 3025 of file hypre.cpp.

void mfem::HypreLOBPCG::SetPrecondUsageMode

(

int

pcg_mode

)

Definition at line 3019 of file hypre.cpp.

void mfem::HypreLOBPCG::SetPrintLevel

(

int

logging

)

Definition at line 3010 of file hypre.cpp.

void mfem::HypreLOBPCG::SetRandomSeed ( int  s )

inline

Definition at line 939 of file hypre.hpp.

void mfem::HypreLOBPCG::SetTol

(

double

tol

)

Definition at line 2998 of file hypre.cpp.

void mfem::HypreLOBPCG::Solve

(

)

Solve the eigenproblem.

Definition at line 3108 of file hypre.cpp.

HypreParVector** mfem::HypreLOBPCG::StealEigenvectors ( )

inline

Transfer ownership of the converged eigenvectors.

Definition at line 956 of file hypre.hpp.

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The documentation for this class was generated from the following files:

• hypre.hpp
• hypre.cpp