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Please use this identifier to cite or link to this item:
http://hdl.handle.net/10016/5927
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| Title: | Spectral transformations for Hermitian Toeplitz matrices |
| Author(s): | Daruis, Leyla
Hernández, Javier
Marcellán, Francisco |
| Publisher: | Elsevier |
| Issued date: | 15-May-2007 |
| Citation: | Journal of Computational and Applied Mathematics, 2007, vol. 202, n. 2, p. 155-176 |
| URI: | http://hdl.handle.net/10016/5927 |
| ISSN: | 0377-0427 |
| DOI: | 10.1016/j.cam.2006.02.041 |
| Description: | 22 pages, no figures.-- MSC2000 codes: 42C05; 15A23.
MR#: MR2319946 (2008c:42025)
Zbl#: Zbl 1131.42301 |
| Abstract: | In this paper we deal with some perturbations of probability measures supported on the unit circle as well as, in a more general framework, with Hermitian linear functionals. We focus our attention in the Hessenberg matrix associated with the multiplication operator in terms of an orthogonal basis in the linear space of polynomials with complex coefficients. The LU and QR factorizations of such a matrix are introduced. Then, the connection between the above-mentioned perturbations and such factorizations is presented. |
| Sponsor: | The work of the first author (Leyla Daruis) was supported by Ministerio de Educación y Ciencia of Spain, under Grant MTM 2005-08571. The work of the of second author (Javier Hernández) was supported by Fundación Universidad Carlos III de Madrid. The work of the third author (Francisco Marcellán) was supported by Dirección General de Investigación, Ministerio de Educación 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.cam.2006.02.041 |
| Keywords: | Hermitian linear functionals
Generalized inner products
Laurent polynomials
Orthogonal polynomials
LU factorization
QR factorization |
| Rights: | © Elsevier |
| Appears in Collections: | DM - GAMA - Artículos de Revistas
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