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3.8 Pole/Zero Analysis 307
3.8.1 GeneralizedEigensystem
GeneralizedEigensystem[A, B]
Command structure of GeneralizedEigensystem.
computes the eigenvalues and the corresponding left and
right eigenvectors of the matrix pencil A B
GeneralizedEigensytem computes the eigenvalues and the corresponding left and right eigenvectors
of a matrix pencil A B by the QZ algorithm. The function returns a list of lists of the form
{{lambda, v, u, iter}, † † † }, where lambda denotes a finite eigenvalue of A B, v and
u the corresponding left and right eigenvectors, and iter the number of iterations the QZ algorithm
needed to compute lambda.
Note that this function is accessible only if the global Analog Insydes option UseExternals is set to
True and if a native version of the external MathLink module QZ.exe is available for your machine
(see Section 3.13.4).
GeneralizedEigensystem has the following option:
option name
default value
Normalize True whether to normalize the eigenvectors
Option for GeneralizedEigensystem.
Unless you specify Normalize −> False, the eigenvectors are scaled such that v i
⩵ u i
⩵ .
See also: GeneralizedEigenvalues (Section 3.8.2), UseExternals (Section 3.14.7).
Examples
Load Analog Insydes.
Define two square
real-valued matrices.
Compute the eigenvalues
and eigenvectors of A B.
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