Classical orthogonal polynomials and Leverrier-Faddeev algorithm for the matrix pencils sE−A

Classical orthogonal polynomials and Leverrier-Faddeev algorithm for the matrix pencils sE−A

In this contribution we present an extension of the Leverrier-Faddeev algorithm for the simultaneous computation of the determinant and the adjoint matrix B(s) of a pencil sE−A where E is a singular matrix but det⁡(sE−A)≢0. Using a previous result by the authors we express B(s) and det⁡(sE−A) in ter...

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Bibliographic Details
Main Authors: Javier Hernández, Francisco Marcellán
Format: Article
Language:English
Published: Hindawi Limited 2006-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/IJMMS/2006/74507

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