Miniversal deformations of matrices of bilinear forms
Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
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Data(s) |
30/10/2013
30/10/2013
2012
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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 |
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 |