Pairs of hermitian and skew-hermitian quaternionic matrices: Canonical forms and their applications

被引：8
|
作者：
Rodman, Leiba [1 ]
机构：
[1] Coll William & Mary, Dept Math, Williamsburg, VA 23187 USA
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2008年 / 429卷 / 5-6期
基金：
美国国家科学基金会;
关键词：
hermitian; skew-hermitian; quaternionic matrices; canonical forms; congruence; strict equivalence;
D O I：
10.1016/j.laa.2006.12.017
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Canonical forms are described for pairs of quaternionic matrices, or equivalently matrix pencils, where each one of the matrices is either hermitian or skew-hermitian, under strict equivalence and simultaneous congruence. Several applications are developed, including structure of selfadjoint and skew-adjoint matrices with respect to a regular sesquilinear quaternion valued form, or with respect to a regular skew-sesquilinear form. Another application gives canonical forms for quaternionic matrices under congruence. (c) 2007 Elsevier Inc. All rights reserved.
引用
收藏
页码：981 / 1019
页数：39
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