Tridiagonal canonical matrices of bilinear or sesquilinear forms and of pairs of symmetric, skew-symmetric, or Hermitian forms

被引：3

作者：

Futorny, Vyacheslav ^{[3
]}

Horn, Roger A. ^{[2
]}

Sergeichuk, Vladimir V. ^{[1
]}

机构：

[1] Inst Math, Kiev, Ukraine

[2] Univ Utah, Dept Math, Salt Lake City, UT 84112 USA

[3] Univ Sao Paulo, Dept Math, Sao Paulo, Brazil

来源：

JOURNAL OF ALGEBRA | 2008年 / 319卷 / 06期

基金：

巴西圣保罗研究基金会;

关键词：

tridiagonal form; canonical matrices; congruence; bilinear forms; symmetric forms; Hermitian forms;

D O I：

10.1016/j.jalgebra.2008.01.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Tridiagonal canonical forms of square matrices under congruence or *congruence, pairs of symmetric or skew-symmetric matrices under congruence, and pairs of Hermitian matrices under *congruence are given over an algebraically closed field of characteristic different from 2. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：2351 / 2371

页数：21

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