lanczos1.h File Reference

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

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

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Classes
class	myra::CMatrixRange< Number >
	Represents a const MatrixRange. More...
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...

Functions
std::pair< Vector< float >, float >	myra::lanczos1 (const Action< float > &A, float tolerance, int iterations)
	Finds one dominant eigenpair of A.
std::pair< Vector< double >, double >	myra::lanczos1 (const Action< double > &A, double tolerance, int iterations)
std::pair< Vector< float >, float >	myra::lanczos1 (const Action< float > &A, const CMatrixRange< float > &Q, float tolerance, int iterations)
	Given operator A (and deflation space Q) find the next dominant eigenvector of A. More...
std::pair< Vector< double >, double >	myra::lanczos1 (const Action< double > &A, const CMatrixRange< double > &Q, double tolerance, int iterations)

Detailed Description

Finds one dominant eigenpair of a real symmetric Action.

Function Documentation

lanczos1()

std::pair< Vector< float >, float > myra::lanczos1	(	const Action< float > &	A,
		const CMatrixRange< float > &	Q,
		float	tolerance,
		int	iterations
	)

Given operator A (and deflation space Q) find the next dominant eigenvector of A.

Given operator A (and deflation space Q) find the next dominant eigenpair of A.