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

JOURNAL OF ALGEBRA

卷:319

Article

Futorny, Vyacheslav³  Horn, Roger A.²  Sergeichuk, Vladimir V.¹ 

[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

关键词: tridiagonal form;    canonical matrices;    congruence;    bilinear forms;    symmetric forms;    Hermitian forms;   

DOI  :  10.1016/j.jalgebra.2008.01.002

来源: Elsevier

【 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.

【 授权许可】

Free