Characteristic polynomials of some perturbed matrices

doi:10.1016/j.amc.2007.10.024

	Characteristic polynomials of some perturbed matrices
	Ding, Jiu 1; Zhou, Aihui2
	2008-06-01
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	199 期号:2 页码:631-636
摘要	Using a determinant identity, we establish an algebraic relation between the characteristic polynomial of a matrix and its perturbation of special structure. When the perturbation satisfies some linear independence condition, the factored expression of the characteristic polynomial of the perturbed matrix is obtained. Some known eigenvalue theorems in the literature can be derived directly as corollaries of the new result. (c) 2007 Elsevier Inc. All rights reserved.
关键词	eigenvalue characteristic polynomial perturbation
DOI	10.1016/j.amc.2007.10.024
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000255320900023
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/6872
专题	计算数学与科学工程计算研究所
通讯作者	Ding, Jiu
作者单位	1.Univ So Mississippi, Dept Math, Hattiesburg, MS 39406 USA 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci & Engn Comp, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Ding, Jiu,Zhou, Aihui. Characteristic polynomials of some perturbed matrices[J]. APPLIED MATHEMATICS AND COMPUTATION,2008,199(2):631-636.
APA	Ding, Jiu,&Zhou, Aihui.(2008).Characteristic polynomials of some perturbed matrices.APPLIED MATHEMATICS AND COMPUTATION,199(2),631-636.
MLA	Ding, Jiu,et al."Characteristic polynomials of some perturbed matrices".APPLIED MATHEMATICS AND COMPUTATION 199.2(2008):631-636.