Miniversal deformations of matrices of bilinear forms


Autoria(s): Dmytryshyn, Andrii R.; Futorny, Vyacheslav; Sergeichuk, Vladimir V.
Contribuinte(s)

UNIVERSIDADE DE SÃO PAULO

Data(s)

30/10/2013

30/10/2013

2012

Resumo

Arnold [V.I. Arnold, On matrices depending on parameters, Russian Math. Surveys 26 (2) (1971) 29-43] constructed miniversal deformations of square complex matrices under similarity; that is, a simple normal form to which not only a given square matrix A but all matrices B close to it can be reduced by similarity transformations that smoothly depend on the entries of B. We construct miniversal deformations of matrices under congruence. (C) 2011 Elsevier Inc. All rights reserved.

CNPq [301743/2007-0]

CNPq

FAPESP

Fapesp [2010/50347-9, 05/59407-6, 2010/07278-6]

Identificador

LINEAR ALGEBRA AND ITS APPLICATIONS, NEW YORK, v. 436, n. 7, supl. 1, Part 3, pp. 2670-2700, APR 1, 2012

0024-3795

http://www.producao.usp.br/handle/BDPI/36681

10.1016/j.laa.2011.11.010

http://dx.doi.org/10.1016/j.laa.2011.11.010

Idioma(s)

eng

Publicador

ELSEVIER SCIENCE INC

NEW YORK

Relação

LINEAR ALGEBRA AND ITS APPLICATIONS

Direitos

restrictedAccess

Copyright ELSEVIER SCIENCE INC

Palavras-Chave #BILINEAR FORMS #MINIVERSAL DEFORMATIONS #VERSAL DEFORMATIONS #SESQUILINEAR FORMS #JORDAN ALGEBRAS #PENCILS #FAMILIES #TRANSFORMATION #ELEMENTS #MATHEMATICS, APPLIED
Tipo

article

original article

publishedVersion