International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 74507, 13 pages
Classical orthogonal polynomials and Leverrier-Faddeev algorithm
for the matrix pencils
Departamento de Matemáticas, Universidad Carlos III de Madrid, Leganés 28911, Spain
Received 16 May 2005; Revised 27 March 2006; Accepted 25 April 2006
Copyright © 2006 Javier Hernández and Francisco Marcellán. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
In this contribution we present an extension of the
Leverrier-Faddeev algorithm for the simultaneous computation of the
determinant and the adjoint matrix of a pencil where is a singular matrix but . Using a previous result by the authors we express and in terms of classical orthogonal polynomials.