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Please use this identifier to cite or link to this item:
http://hdl.handle.net/10016/5937
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| Title: | Classical orthogonal polynomials and Leverrier-Faddeev algorithm for the matrix pencils $sE−A$ |
| Author(s): | Hernández, Javier
Marcellán, Francisco |
| Publisher: | Hindawi |
| Issued date: | 2006 |
| Citation: | International Journal of Mathematics and Mathematical Sciences, 2006, Article ID 74507 |
| URI: | http://hdl.handle.net/10016/5937 |
| ISSN: | 0161-1712 |
| DOI: | 10.1155/IJMMS/2006/74507 |
| Description: | 13 pages, no figures.-- MSC2000 codes: 33C45, 15A22, 65F40, 65F30.
MR#: MR2251717 (2007f:33012)
Zbl#: Zbl 1113.33009 |
| Abstract: | 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 terms of classical orthogonal polynomials. |
| Sponsor: | The work of the second author (Francisco Marcellán) has received the financial support from Dirección General de Investigación (Ministerio de Educación y Ciencia) of Spain, Grant BFM2003-06335-C03-02, and INTAS Research Network NeCCA INTAS 03-51-6637. The work of the first author (Javier Hernández) has been supported by Fundación Universidad Carlos III de Madrid. |
| Review: | PeerReviewed |
| Publisher version: | http://dx.doi.org/10.1155/IJMMS/2006/74507 |
| Rights: | © Hindawi |
| Appears in Collections: | DM - GAMA - Artículos de Revistas
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