An algorithm for matrix polynomial eigenproblems
Author(s)
Date Issued
1992
Publisher
Elsevier
Journal
Journal of Sound and Vibration
Volume
158
Issue
2
Start page
363
End page
368
Abstract
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.
SFU Affiliated Publication
No
Availability at SFU Library
No database links found.