The polynomial solution to the Sylvester matrix equation

doi:10.1016/j.aml.2005.09.005

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	The polynomial solution to the Sylvester matrix equation
	Hu, Qingxi; Cheng, Daizhan
	2006-09-01
发表期刊	APPLIED MATHEMATICS LETTERS
ISSN	0893-9659
卷号	19 期号:9 页码:859-864
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.
关键词	Sylvester equation characteristic polynomial spectrum
DOI	10.1016/j.aml.2005.09.005
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000238827800004
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/2546
专题	中国科学院数学与系统科学研究院
通讯作者	Cheng, Daizhan
作者单位	Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Hu, Qingxi,Cheng, Daizhan. The polynomial solution to the Sylvester matrix equation[J]. APPLIED MATHEMATICS LETTERS,2006,19(9):859-864.
APA	Hu, Qingxi,&Cheng, Daizhan.(2006).The polynomial solution to the Sylvester matrix equation.APPLIED MATHEMATICS LETTERS,19(9),859-864.
MLA	Hu, Qingxi,et al."The polynomial solution to the Sylvester matrix equation".APPLIED MATHEMATICS LETTERS 19.9(2006):859-864.