lopcg1.h File Reference

Finds one small eigenpair of a real symmetric Action. More...

#include <myramath/MYRAMATH_EXPORT.h>
#include <utility>

Include dependency graph for lopcg1.h:

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Classes
class	myra::Action< Number >
	Applies the "Action" of a linear operator, b := A*x. More...
class	myra::Vector< Number >
	Tabulates a vector of length N, allows random access. More...
class	myra::CMatrixRange< Number >
	Represents a const MatrixRange. More...
class	myra::CVectorRange< Number >
	Represents a const VectorRange. More...

Functions
std::pair< Vector< float >, float >	myra::lopcg1 (const Action< float > &M, const Action< float > &A, float tolerance=1.0e-4, int iterations=100)
	Finds one small eigenvector of a symmetric matrix A, requires preconditioner M. Returns the eigenpair, (x,1/lambda)
std::pair< Vector< double >, double >	myra::lopcg1 (const Action< double > &M, const Action< double > &A, double tolerance, int iterations)
std::pair< Vector< float >, float >	myra::lopcg1 (const Action< float > &M, const Action< float > &A, const CMatrixRange< float > &Q, float tolerance=1.0e-4, int iterations=100)
	Finds one small eigenvector of a symmetric matrix A, requires preconditioner M. Returns the eigenpair, (x,1/lambda)
std::pair< Vector< double >, double >	myra::lopcg1 (const Action< double > &M, const Action< double > &A, const CMatrixRange< double > &Q, double tolerance, int iterations)
std::pair< Vector< float >, float >	myra::lopcg1 (const Action< float > &M, const Action< float > &A, const CMatrixRange< float > &Q, const CVectorRange< float > &s, float tolerance=1.0e-4, int iterations=100)
	Finds one small eigenvector of a symmetric matrix A, requires preconditioner M. Returns the eigenpair, (x,1/lambda)
std::pair< Vector< double >, double >	myra::lopcg1 (const Action< double > &M, const Action< double > &A, const CMatrixRange< double > &Q, const CVectorRange< double > &s, double tolerance, int iterations)

Detailed Description

Finds one small eigenpair of a real symmetric Action.

TODO block version of this algorithm, refactor to have same semantics on lanczos and lopcg (some missing pieces): lanczos1, (lanczosN), blanczos, lopcg1, lopcgN, (blopcg)