Generalized polynomial Bezoutian with respect to a Jacobson chain basis over an arbitrary field

We introduce a so-called generalized polynomial Bezoutian with respect to a Jacobson chain basis over an arbitrary field. Some characterization of this kind of matrix, such as the Barnett-type factorization and the intertwining relation with generalized hypercompanion matrix, are obtained. The diago...

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Bibliographic Details
Published in:	Linear algebra and its applications Vol. 432; no. 12; pp. 3351 - 3360
Main Author:	Wu, Huazhang
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier Inc 01.07.2010 Elsevier
Subjects:	Algebra Barnett-type formula Diagonal reduction Exact sciences and technology Field theory and polynomials Generalized polynomial Bezoutian Jacobson chain basis Linear and multilinear algebra, matrix theory Mathematics Polynomial module Sciences and techniques of general use Diagonal reduction Barnett-type formula Jacobson chain basis 15A57 Polynomial module Generalized polynomial Bezoutian Bézout idendity Matrix polynomial Factorization Generalized Companion matrix Vandermonde matrix
ISSN:	0024-3795
Online Access:	Get full text
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