ILNumerics Ultimate VSILMatheig Method (InArrayfcomplex, OutArrayfcomplex, MatrixProperties, Boolean)ILNumerics Ultimate VS Documentation
ILNumerics - Technical Application Development
Find eigenvalues and eigenvectors of square matrix A.

[ILNumerics Computing Engine]

Namespace: ILNumerics
Assembly: ILNumerics.Computing (in ILNumerics.Computing.dll) Version: 5.3.0.0 (5.3.7131.2749)
Syntax

public static RetArray<fcomplex> eig(
	InArray<fcomplex> A,
	OutArray<fcomplex> V,
	ref MatrixProperties propsA,
	bool balance
)

Parameters

A
Type: ILNumericsInArrayfcomplex
Input: square matrix, size [n x n].
V
Type: ILNumericsOutArrayfcomplex
[Optional] Output, matrix of eigenvectors of A. Size [n x n]. If null: do not compute. If not null on entry V returns the Eigenvectors.
propsA
Type: ILNumericsMatrixProperties
Matrix properties, on input - if specified, will be used to choose an advantageous path to the solution. On exit will be filled according to the properties of A (symmetric | hermitian).
balance
Type: SystemBoolean
True: permute A in order to increase the numerical stability, false: do not permute A.

Return Value

Type: RetArrayfcomplex
Eigenvalues as vector (if V is null) or as diagonoal matrix (if V was not null).
Exceptions

ExceptionCondition
ArgumentExceptionif A is not a square matrix.
Remarks

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

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

Depending on the parameter balanceA will be 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(InArrayfcomplex)
MathInternal.eig(InArrayfcomplex, OutArrayfcomplex, MatrixProperties, Boolean)