GENERALIZED COMPANION MATRICES AND MATRIX REPRESENTATIONS FOR GENERALIZED BEZOUTIANS

Authors
ROST K
Citation
K. Rost, GENERALIZED COMPANION MATRICES AND MATRIX REPRESENTATIONS FOR GENERALIZED BEZOUTIANS, Linear algebra and its applications, 193, 1993, pp. 151-172
Citations number
20
Categorie Soggetti
Mathematics,Mathematics
Journal title
Linear algebra and its applications → ACNP
ISSN journal
00243795
Volume
193
Year of publication
1993
Pages
151 - 172
Database
ISI
SICI code
0024-3795(1993)193:<151:GCMAMR>2.0.ZU;2-6
Abstract
A generalization of companion matrices is presented as the starting po int for developing a unified algebraic method to get matrix representa tions for generalized Bezoutians. Special cases are discussed. In part icular, well-known formulas for Hankel and Toeplitz Bezoutians are obt ained; also, new matrix representations are given, for example in a ba sis of orthogonal polynomials, using corresponding Christoffel-Darboux formulas.