Anti-triangular and anti-m-Hessenberg forms for Hermitian matrices and pencils

被引：4

作者：

Mehl, C ^{[1
]}

机构：

[1] TU Chemnitz, Fak Math, D-09107 Chemnitz, Germany

[2] Coll William & Mary, Dept Math, Williamsburg, VA 23187 USA

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2000年 / 317卷 / 1-3期

关键词：

D O I：

10.1016/S0024-3795(00)00156-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Hermitian pencils, i.e., pairs of Hermitian matrices, arise in many applications, such as linear quadratic optimal control or quadratic eigenvalue problems. We derive conditions from which anti-triangular and anti-m-Hessenberg forms for general (including singular) Hermitian pencils can be obtained under unitary equivalence transformations. (C) 2000 Elsevier Science Inc. All rights reserved.

引用

页码：143 / 176

页数：34

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