The polynomial solution to the Sylvester matrix equation

被引：40

作者：

Hu, Qingxi ^{[1
]}

Cheng, Daizhan ^{[1
]}

机构：

[1] Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2006年 / 19卷 / 09期

关键词：

Sylvester equation; characteristic polynomial; spectrum;

D O I：

10.1016/j.aml.2005.09.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For when the Sylvester matrix equation has a unique solution, this work provides a closed form solution, which is expressed as a polynomial of known matrices. In the case of non-uniqueness, the solution set of the Sylvester matrix equation is a subset of that of a deduced equation, which is a system of linear algebraic equations. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：859 / 864

页数：6

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