Miniversal deformations of matrices of bilinear forms

被引：19

作者：

Dmytryshyn, Andrii R. ^{[2
,3
]}

Futorny, Vyacheslav ^{[4
]}

Sergeichuk, Vladimir V. ^{[1
]}

机构：

[1] Ukrainian Acad Sci, Inst Math, Kiev, Ukraine

[2] Umea Univ, Dept Comp Sci, SE-90187 Umea, Sweden

[3] Ukrainian Acad Sci, HPC2N, Kiev, Ukraine

[4] Univ Sao Paulo, Dept Math, BR-05508 Sao Paulo, Brazil

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2012年 / 436卷 / 07期

基金：

巴西圣保罗研究基金会;

关键词：

Bilinear forms; Miniversal deformations; VERSAL DEFORMATIONS; SESQUILINEAR FORMS; JORDAN ALGEBRAS; PENCILS; FAMILIES; TRANSFORMATION; ELEMENTS;

D O I：

10.1016/j.laa.2011.11.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：2670 / 2700

页数：31

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