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

共 50 条

[21] PFAFFIANS AND SKEW-SYMMETRIC MATRICES
HEYMANS, P
[J]. PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1969, 19 : 730 - &
[22] Almost skew-symmetric matrices
McDonald, JJ
Psarrakos, PJ
Tsatsomeros, MJ
[J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2004, 34 (01) : 269 - 288
[23] COMPOUNDS OF SKEW-SYMMETRIC MATRICES
MARCUS, M
YAQUB, A
[J]. CANADIAN JOURNAL OF MATHEMATICS, 1964, 16 (03): : 473 - &
[24] PRODUCTS OF SKEW-SYMMETRIC MATRICES
LAFFEY, TJ
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1985, 68 (JUL) : 249 - 251
[25] Commutators of skew-symmetric matrices
Bloch, AM
Iserles, A
[J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2005, 15 (03): : 793 - 801
[26] Accurately counting singular values of bidiagonal matrices and eigenvalues of skew-symmetric tridiagonal matrices
Fernando, KV
[J]. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1998, 20 (02) : 373 - 399
[27] Miniversal deformations of pairs of skew-symmetric matrices under congruence
Dmytryshyn, Andrii
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2016, 506 : 506 - 534
[28] On the geometry of varieties of invertible symmetric and skew-symmetric matrices
Jones, O
[J]. PACIFIC JOURNAL OF MATHEMATICS, 1997, 180 (01) : 89 - 100
[29] Maximal annihilating spaces of symmetric and skew-symmetric matrices
Gainov A.T.
[J]. Algebra and Logic, 1998, 37 (3) : 164 - 169
[30] Symmetric powers of symmetric bilinear forms
McGarraghy, S
[J]. ALGEBRA COLLOQUIUM, 2005, 12 (01) : 41 - 57

← 1 2 3 4 5 →