CxGenEigenAB

Advanced Analysis Library Only

AnalysisLibErrType CxGenEigenAB (void *inputMatrixA, void *inputMatrixB, int matrixSize, NIComplexNumber eigenvalues[], void *leftEigenvectors, void *rightEigenvectors);

Purpose

Computes the generalized eigenvalues, and optionally the left and/or right generalized eigenvectors, for a pair of complex matrices (A,B). The function computes the following generalized eigenproblems:

where V is the right eigenvectors matrix.

where U is the left eigenvectors matrix.

represents the generalized eigenvalues of (A,B).

Parameters

Input
Name Type Description
inputMatrixA numeric array The input matrix A.
inputMatrixB numeric array The input matrix B.
matrixSize integer The order of inputMatrixA and inputMatrixB.
Output
Name Type Description
eigenvalues complex number array The generalized eigenvalues of (inputMatrixA, inputMatrixB).
leftEigenvectors numeric array The left generalized eigenvectors of (inputMatrixA, inputMatrixB). If leftEigenvectors is NULL, the left generalized eigenvectors are not computed. Each column of leftEigenvectors is a left generalized eigenvector.
rightEigenvectors numeric array The right generalized eigenvectors of (inputMatrixA, inputMatrixB). If rightEigenvectors is NULL, the right generalized eigenvectors are not computed. Each column of rightEigenvectors is a right generalized eigenvector.

Return Value

Name Type Description
status AnalysisLibErrType A value that specifies the type of error that occurred. Refer to analysis.h for definitions of these constants.