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Title: An algorithm for matrix polynomial eigenproblems
Author(s): Leung, Andrew Yee Tak 
Issue Date: 1992
Publisher: Elsevier
Journal: Journal of Sound and Vibration 
Volume: 158
Issue: 2
Start page: 363
End page: 368
When a system is described by higher order differential equations with time as the independent variable, the solution for the homogeneous system is defined by a matrix polynomial eigenproblem. A method alternative to the classical companion matrix method is introduced to expand the determinant algebraically to result in a scalar polynomial equation for the eigenvalues. The eigenvectors are obtained by inverse iteration. It is shown that the new method is computationally more advantageous than the conventional companion matrix method. A computer program is given for general matrix polynomials as well as Hermitian matrix polynomials. Defective eigenproblems can be handled without special attention.
DOI: 10.1016/0022-460X(92)90057-5
CIHE Affiliated Publication: No
Appears in Collections:CIS Publication

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