Title :
SVD-based computation of zeros of polynomial matrices
Author :
Holzel, Matthew S. ; Bernstein, Dennis S.
Author_Institution :
Dept. of Aerosp. Eng., Univ. of Michigan, Ann Arbor, MI, USA
Abstract :
We present an algorithm for determining the zeros of polynomial matrices of arbitrary order, normal rank, and dimension. Specifically, we use the singular value decomposition to reduce the problem to an eigenvalue problem.
Keywords :
eigenvalues and eigenfunctions; polynomial matrices; singular value decomposition; SVD based computation; arbitrary order; dimension; eigenvalue problem; normal rank; polynomial matrices; singular value decomposition; Educational institutions; Eigenvalues and eigenfunctions; Matrix decomposition; Polynomials; Singular value decomposition; Symmetric matrices;
Conference_Titel :
Decision and Control and European Control Conference (CDC-ECC), 2011 50th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
978-1-61284-800-6
Electronic_ISBN :
0743-1546
DOI :
10.1109/CDC.2011.6161141
