ILNumerics Ultimate VS

ILMatheig Method (InArrayDouble, OutArraycomplex)

ILNumerics Ultimate VS Documentation
ILNumerics - Technical Application Development
Computes eigenvalues and eigenvectors of general square matrix A.

[ILNumerics Computing Engine]

Namespace:  ILNumerics
Assembly:  ILNumerics.Computing (in ILNumerics.Computing.dll) Version: 5.5.0.0 (5.5.7503.3146)
Syntax

public static RetArray<complex> eig(
	InArray<double> A,
	OutArray<complex> V
)

Parameters

A
Type: ILNumericsInArrayDouble
Input matrix. Size [n x n].
V
Type: ILNumericsOutArraycomplex
[Optional] Output, matrix of eigenvectors of A. Size [n x n]. Default: (null) do not compute. If not null on entry V returns the Eigenvectors.

Return Value

Type: RetArraycomplex
Diagonal matrix with eigenvalues of A. Size [n x n].
Remarks

The eigenvalues of A are found by use of the Lapack functions dgeevx, sgeevx, cgeevx and zgeevx.

The matrices returned will be complex, since A may be nonsymmetric. Use eigSymm(InArrayDouble) for computing real eigenvalues of symmetric matrices.

A is internally balanced first. This includes permutations and scaling of A in order to improve the conditioning of the eigenvalues.

[ILNumerics Computing Engine]

See Also

Reference

MathInternal.eig(InArrayDouble)
MathInternal.eig(InArrayDouble, OutArraycomplex, MatrixProperties, Boolean)