ILNumerics - Technical Application Development
Assembly: ILNumerics.Computing (in ILNumerics.Computing.dll) Version: 5.5.0.0 (5.5.7503.3146)
Diagonal matrix with eigenvalues of A. Size [n x n].
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
Parameters
- A
- Type: ILNumericsInArraycomplex
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: RetArraycomplexDiagonal 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(InArraycomplex) 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(InArraycomplex)
MathInternal.eig(InArraycomplex, OutArraycomplex, MatrixProperties, Boolean)