Spectral transformations for Hermitian Toeplitz matrices

Daruis, Leyla; Hernández, Javier; Marcellán Español, Francisco José

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Spectral transformations for Hermitian Toeplitz matrices

Author(s): Daruis, Leyla; Hernández, Javier; Marcellán Español, Francisco José

Publisher: Elsevier

Issued date: 2007-05-15

Citation: Journal of Computational and Applied Mathematics, 2007, vol. 202, n. 2, p. 155-176

ISSN: 0377-0427

DOI: 10.1016/j.cam.2006.02.041

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

URI: http://hdl.handle.net/10016/5927

Rights: © Elsevier

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 op [+]