Componentwise condition numbers of random sparse matrices

doi:10.1137/080729463

科研成果详情

发表状态	已发表Published
题名	Componentwise condition numbers of random sparse matrices
作者	Cheung, Dennis1 ; Cucker, Felipe 2
发表日期	2009
发表期刊	SIAM Journal on Matrix Analysis and Applications
ISSN/eISSN	0895-4798
卷号	31 期号:2 页码:721-731
摘要	We prove an 0(log n) bound for the expected value of the logarithm of the componentwise (and, a fortiori, the mixed) condition number of a random sparse n X n matrix. As a consequence, small bounds on the average loss of accuracy for t riangular linear systems follow. © 2009 Society for Industrial and Applied Mathematics.
关键词	Average loss of precision Sparse matrices Triangular systems
DOI	10.1137/080729463
URL	查看来源
收录类别	SCIE
语种	英语English
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000267745500026
Scopus入藏号	2-s2.0-72449192637
引用统计	被引频次：2[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	https://repository.uic.edu.cn/handle/39GCC9TT/6641
专题	理工科技学院
通讯作者	Cheung, Dennis
作者单位	1.BNU-HKBU United International College,Tang Jia Wan,Zhuhai, Guandong Province,China 2.Department of Mathematics,City University of Hong Kong,83 Tat Chee Avenue,Hong Kong,China
第一作者单位	北师香港浸会大学
通讯作者单位	北师香港浸会大学
推荐引用方式 GB/T 7714	Cheung, Dennis,Cucker, Felipe. Componentwise condition numbers of random sparse matrices[J]. SIAM Journal on Matrix Analysis and Applications, 2009, 31(2): 721-731.
APA	Cheung, Dennis, & Cucker, Felipe. (2009). Componentwise condition numbers of random sparse matrices. SIAM Journal on Matrix Analysis and Applications, 31(2), 721-731.
MLA	Cheung, Dennis,et al."Componentwise condition numbers of random sparse matrices". SIAM Journal on Matrix Analysis and Applications 31.2(2009): 721-731.