laneig.h File Reference

#include <math.h>
#include <iostream>

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Classes
struct	LanczosOptions
	An instance of this class, taken by LanczosEigenSolver(), is a collection of options for the Lanczos procedure to solve symmetric eigenvalue problems. More...
struct	LanczosInfo
	LanczosEigenSolver() returns an instance of this class which gives the information of the Lanczos procedure. More...

Typedefs
typedef Vector(*	NEXT_VECTOR) (const Vector &)

Functions
LanczosInfo	LanczosEigenSolver (Vector &eigVal, Matrix &eigVec, NEXT_VECTOR NextKrylovVector, mkIndex n, mkIndex neigWanted, const char eigPart[], LanczosOptions &opts)
	Lanczos eigensolver, the most general form. More...
LanczosInfo	LanczosEigenSolver (Vector &eigVal, Matrix &eigVec, NEXT_VECTOR NextKrylovVector, mkIndex n, mkIndex neigWanted, const char eigPart[])
	The same as LanczosEigenSolver(), but with the default LanczosOptions.
LanczosInfo	LanczosEigenSolver (Vector &eigVal, Matrix &eigVec, const SymmetricMatrix &A, mkIndex neigWanted, const char eigPart[], LanczosOptions &opts)
	The same as LanczosEigenSolver(), but with the NextKrylovVector() defined as A*v.
LanczosInfo	LanczosEigenSolver (Vector &eigVal, Matrix &eigVec, const SymmetricMatrix &A, mkIndex neigWanted, const char eigPart[])
	The same as LanczosEigenSolver(), but with the NextKrylovVector() defined as A*v and with default LanczosOptions.
LanczosInfo	LanczosEigenSolver (Vector &eigVal, Matrix &eigVec, const SparseMatrix &A, mkIndex neigWanted, const char eigPart[], LanczosOptions &opts)
	The same as LanczosEigenSolver(), but with the NextKrylovVector() defined as A*v.
LanczosInfo	LanczosEigenSolver (Vector &eigVal, Matrix &eigVec, const SparseMatrix &A, mkIndex neigWanted, const char eigPart[])
	The same as LanczosEigenSolver(), but with the NextKrylovVector() defined as A*v and with default LanczosOptions.

Detailed Description

Routines for the Lanczos method for extreme eigenvalues (and optionally the corresponding eigenvectors) of a symmetric matrix.