The polynomial solution to the Sylvester matrix equation

被引：37
|
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
收藏
页码：859 / 864
页数：6
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