ArnoldiEigenvalueOptions Class

Options for solving symmetric eigenvalue problems using the shift and invert spectral transformation.

Inheritance Hierarchy

SystemObject
CenterSpace.NMath.CoreArnoldiEigenvalueOptions

Namespace: CenterSpace.NMath.Core
Assembly: NMath (in NMath.dll) Version: 7.4

Syntax

public class ArnoldiEigenvalueOptions : ICloneable

Public Class ArnoldiEigenvalueOptions
	Implements ICloneable

public ref class ArnoldiEigenvalueOptions : ICloneable

type ArnoldiEigenvalueOptions = 
    class
        interface ICloneable
    end

The ArnoldiEigenvalueOptions type exposes the following members.

Constructors

	Name	Description
	ArnoldiEigenvalueOptions	Create an ArnoldiEigenvalueOptions using default values.

Properties

	Name	Description
	ComputeEigenvectors	Gets and sets a boolean specifying whether or not eigenvectors are computed. The default value is true.
	InitialResiduals	Array of length equal to the order of the poblem. Contains the initial residual vector, possibly from a previous run. If empty or null a ranodm initial residual vector is used. Default is empty.
	MaxNumArnoldiUpdates	Gets and sets the value of maximum number of Arnoldi update iterations allowed. Default value is 300.
	NumEigenvalues	Gets and sets the number of eigenvalues to compute.
	NumLanczosVectors	Gets and sets a number indicating how many Lanczos vectors are generated at each iteration. After the startup phase in which NumEigenvectors Lanczos vectors are generated, the algorithm generates NumLanczosVectors - NumEigenvectors Lanczos vectors at each subsequent update iteration. The default value is Min( 2 * nev, n) where nev is the number of requested eigenvalues and n is the dimension of the problem.
	SelectedEigenvectors	Logical array of dimension NumEigenvalues. To select the Ritz vector corresponding to a Ritz value D(j), SelectedEigenvectors[j] must be set to true. By default the array is empty and all NumEigenvalues are computed.
	Tolerance	Gets and sets the tolerance used in the iteration stopping criterion. Iteration stops when the relative accuracy of the Ritz value satifies BOUNDS(I) less than or equal to Bounds(i) <= Tolerance * \|Ritz(i)\| TOL*ABS(RITZ(I)). The default value is computed machine precision.

Methods

	Name	Description
	Clone	Creates a deep copy of this object.
	FindEigenvalueInRange	Find all eigenvalues in the given range.
	FindEigenvaluesGreaterThan	Find eigenvalues that are just to the right of the given lower bound. By default eigenvalues of largest magnitude are computed.
	FindEigenvaluesLessThan	Find eigenvalues that are just to the left of the given upper bound. By default eigenvalues of largest magnitude are computed.
	FindEigenvaluesNear	Find eigenvalues near a specified value. An attempt will be made to find equal number of eigenvalues on either side of the specified value. By default eigenvalues of largest magnitude are computed.
	FindEigenvaluesOfLargestMagnitude	Find eigenvalues with largest absolute values.
	FindEigenvaluesOfSmallestMagnitude	Find eigenvalues with smallest absolute values.