Cayley transform and the Kronecker product of Hermitian matrices

被引：1

作者：

Hardy, Yorick ^{[1
]}

Fosner, Ajda ^{[2
]}

Steeb, Willi-Hans ^{[3
]}

机构：

[1] Univ S Africa, Dept Math Sci, ZA-0001 Pretoria, South Africa

[2] Univ Primorska, Fac Management, SI-6104 Koper, Slovenia

[3] Univ Johannesburg, Int Sch Sci Comp, ZA-2006 Auckland Pk, South Africa

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2013年 / 439卷 / 12期

基金：

新加坡国家研究基金会;

关键词：

Cayley transform; Hermitian matrix; Kronecker product;

D O I：

10.1016/j.laa.2013.09.043

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the conditions under which the Cayley transform of the Kronecker product of two Hermitian matrices can be again presented as a Kronecker product of two matrices and, if so, if it is a product of the Cayley transforms of the two Hermitian matrices. We also study the related question: given two matrices, which matrix under the Cayley transform yields the Kronecker product of their Cayley transforms. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：4023 / 4031

页数：9

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