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Please use this identifier to cite or link to this item:
http://hdl.handle.net/10016/5963
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| Title: | An extension of Leverrier-Faddeev algorithm using a basis of classical orthogonal polynomials |
| Author(s): | Hernández, Javier
Marcellán, Francisco |
| Publisher: | University of Niš |
| Issued date: | 2004 |
| Citation: | Facta Universitatis Series Mathematics and Informatics, 2004, vol. 19, p. 73-92 |
| URI: | http://hdl.handle.net/10016/5963 |
| ISSN: | 0352-9665 |
| Description: | 20 pages, no figures.-- MSC2000 codes: Primary 42C05; Secondary 33C45, 15A15.
MR#: MR2122756 (2005i:42040)
Zbl#: Zbl 1088.42015 |
| Abstract: | In this paper, the Leverrier-Faddeev algorithm is extended in order to compute both the determinant a(s) and the adjoint B(s) of the polynomial matrix s A_p + s -1A_p-1 + ... + sA_1 + A_0, where A_i ∈ Cnxn; i = 1, 2, ..., p. B(s) and a(s) are expressed in terms of a basis of classical orthogonal polynomials. |
| Sponsor: | The work of the second author (F. Marcellán) was supported by Dirección General de Investigación, Ministerio de Ciencia y Tecnología of Spain, under grant BFM2003-06335-C03-02. The work of the first author (J. Hernández) has been supported by Fundación Universidad Carlos III de Madrid. |
| Review: | PeerReviewed |
| Publisher version: | http://facta.junis.ni.ac.rs/mai/mai19/f19-073-092.pdf |
| Rights: | © University of Niš |
| Appears in Collections: | DM - GAMA - Artículos de Revistas
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