A class for computing eigen bounds matrices. More...

Inheritance diagram for NTPoly::EigenBounds:

Static Public Member Functions
static void	GershgorinBounds (const DistributedSparseMatrix &matrix, double min_ger_eig, double max_ger_eig)

static void	PowerBounds (const DistributedSparseMatrix &matrix, double *max_power_eig, const IterativeSolverParameters &solver_parameters)

Additional Inherited Members
Static Protected Member Functions inherited from NTPoly::SolverBase
static const int *	GetIH (const DistributedSparseMatrix &dsm)

static int *	GetIH (DistributedSparseMatrix &dsm)

static const int *	GetIH (const IterativeSolverParameters &csp)

static int *	GetIH (IterativeSolverParameters &csp)

static const int *	GetIH (const FixedSolverParameters &csp)

static int *	GetIH (FixedSolverParameters &csp)

Detailed Description

A class for computing eigen bounds matrices.

Member Function Documentation

void NTPoly::EigenBounds::GershgorinBounds	(	const DistributedSparseMatrix &	matrix,
		double *	min_ger_eig,
		double *	max_ger_eig
	)

static

Compute a bounds on the minimum and maximum eigenvalue of a matrix. Uses Gershgorin's theorem.

Parameters

matrix	the matrix to compute the min/max of.
min_ger_eig	a lower bound on the eigenspectrum.
max_ger_eig	an uppder bound on the eigenspectrum.

void NTPoly::EigenBounds::PowerBounds	(	const DistributedSparseMatrix &	matrix,
		double *	max_power_eig,
		const IterativeSolverParameters &	solver_parameters
	)

static

Compute a bounds on and maximum eigenvalue of a matrix. Uses The Power Method.

Parameters

matrix	the matrix to compute the min/max of.
max_power_eig	an upper bound on the eigenspectrum.
solver_parameters	parameters for the solver

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