Sensitivity analysis of nonnegative irreducible matirces

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	Sensitivity analysis of nonnegative irreducible matirces
	Liu, SL; Wang, SY
	1999-03-01
发表期刊	APPLIED MATHEMATICS LETTERS
ISSN	0893-9659
卷号	12 期号:2 页码:121-124
摘要	We develop a method based on the additive perturbation of a nonnegative irreducible matrix to analyze its sensitivity. Bounds for the norm of the difference between the perturbed right eigenvector and the initial one, and bounds for the difference between the perturbed principal eigenvalue and the initial one are obtained without any additional assumption on the nonnegative irreducible matrix. (C) 1998 Elsevier Science Ltd. All rights reserved.
关键词	nonnegative irreducible matrix sensitivity analysis principle eigenvalue principal eigenvector
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000077810700021
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/14793
专题	中国科学院数学与系统科学研究院
通讯作者	Liu, SL
作者单位	Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Liu, SL,Wang, SY. Sensitivity analysis of nonnegative irreducible matirces[J]. APPLIED MATHEMATICS LETTERS,1999,12(2):121-124.
APA	Liu, SL,&Wang, SY.(1999).Sensitivity analysis of nonnegative irreducible matirces.APPLIED MATHEMATICS LETTERS,12(2),121-124.
MLA	Liu, SL,et al."Sensitivity analysis of nonnegative irreducible matirces".APPLIED MATHEMATICS LETTERS 12.2(1999):121-124.