eigenboundsmodule Module Reference

A module for computing estimates of the bounds of a matrix's spectrum. More...

Functions/Subroutines
subroutine, public	gershgorinbounds (this, min_value, max_value)
	Compute a bounds on the minimum and maximum eigenvalue of a matrix. Uses Gershgorin's theorem. More...
subroutine, public	powerbounds (this, max_value, solver_parameters_in)
	Compute a bounds on the maximum eigenvalue of a matrix. Uses The Power Method. More...

Detailed Description

A module for computing estimates of the bounds of a matrix's spectrum.

Function/Subroutine Documentation

gershgorinbounds()

subroutine, public eigenboundsmodule::gershgorinbounds	(	type(distributedsparsematrix_t), intent(in)	this,
		real(ntreal), intent(out)	min_value,
		real(ntreal), intent(out)	max_value
	)

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

Parameters

[in]	this	the matrix to compute the min/max of.
[out]	min_value	a lower bound on the eigenspectrum.
[out]	max_value	an uppder bound on the eigenspectrum.

powerbounds()

subroutine, public eigenboundsmodule::powerbounds	(	type(distributedsparsematrix_t), intent(in)	this,
		real(ntreal), intent(out)	max_value,
		type(iterativesolverparameters_t), intent(in), optional	solver_parameters_in
	)

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

Parameters

[in]	this	the matrix to compute the min/max of.
[out]	max_value	an upper bound on the eigenspectrum.
[in,out]	solver_parameters_in	solver parameters (optional).