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.
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页码：143 / 176
页数：34
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