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Please use this identifier to cite or link to this item:
http://hdl.handle.net/10016/5941
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| Title: | Polynomial perturbations of bilinear functionals and Hessenberg matrices |
| Author(s): | Bueno, M. Isabel
Marcellán, Francisco |
| Publisher: | Elsevier |
| Issued date: | 1-Apr-2006 |
| Citation: | Linear Algebra and its Applications, 2006, vol. 141, n. 1, p. 64-83 |
| URI: | http://hdl.handle.net/10016/5941 |
| ISSN: | 0024-3795 |
| DOI: | 10.1016/j.laa.2005.09.010 |
| Description: | 20 pages, no figures.-- MSC2000 codes: 42C05; 15A23.
MR#: MR2209234 (2008c:42024)
Zbl#: Zbl 1134.42015 |
| Abstract: | This paper deals with symmetric and non-symmetric polynomial perturbations of symmetric quasi-definite bilinear functionals. We establish a relation between the Hessenberg matrices associated with the initial and the perturbed functionals using LU and QR factorizations. Moreover we give an explicit algebraic relation between the sequences of orthogonal polynomials associated with both functionals. |
| Sponsor: | The work of the authors has been partially supported by Dirección General de Investigación (Ministerio de Educacion y Ciencia) of Spain under Grant BFM 2003-06335-C03-02 and INTAS Research Network NeCCA INTAS 03-51-6637. |
| Review: | PeerReviewed |
| Publisher version: | http://dx.doi.org/10.1016/j.laa.2005.09.010 |
| Keywords: | Perturbation of a bilinear functional
Hessenberg matrix
LU factorization
QR factorization |
| Rights: | © Elsevier |
| Appears in Collections: | DM - GAMA - Artículos de Revistas
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