Eigenvalues of rank-one updated matrices with some applications

doi:10.1016/j.aml.2006.11.016

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	Eigenvalues of rank-one updated matrices with some applications
	Ding, Jiu ; Zhou, Aihui
	2007-12-01
发表期刊	APPLIED MATHEMATICS LETTERS
ISSN	0893-9659
卷号	20 期号:12 页码:1223-1226
摘要	We prove a spectral perturbation theorem for rank-one updated matrices of special structure. Two applications of the result are given to illustrate the usefulness of the theorem. One is for the spectrum of the Google matrix and the other is for the algebraic simplicity of the maximal eigenvalue of a positive matrix. (c) 2007 Elsevier Ltd. All rights reserved.
关键词	rank-one update determinant spectrum
DOI	10.1016/j.aml.2006.11.016
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000251048100010
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/4824
专题	中国科学院数学与系统科学研究院
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, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Ding, Jiu,Zhou, Aihui. Eigenvalues of rank-one updated matrices with some applications[J]. APPLIED MATHEMATICS LETTERS,2007,20(12):1223-1226.
APA	Ding, Jiu,&Zhou, Aihui.(2007).Eigenvalues of rank-one updated matrices with some applications.APPLIED MATHEMATICS LETTERS,20(12),1223-1226.
MLA	Ding, Jiu,et al."Eigenvalues of rank-one updated matrices with some applications".APPLIED MATHEMATICS LETTERS 20.12(2007):1223-1226.