Polynomial perturbations of bilinear functionals and Hessenberg matrices

Bueno Cachadiña, María Isabel; Marcellán Español, Francisco José

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Polynomial perturbations of bilinear functionals and Hessenberg matrices

Author(s): Bueno Cachadiña, María Isabel; Marcellán Español, Francisco José

Publisher: Elsevier

Issued date: 2006-04-01

Citation: Linear Algebra and its Applications, 2006, vol. 141, n. 1, p. 64-83

ISSN: 0024-3795

DOI: 10.1016/j.laa.2005.09.010

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

URI: http://hdl.handle.net/10016/5941

Rights: © Elsevier

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 facto [+]