Probabilistic analysis of condition numbers for linear programming

doi:10.1023/A:1015460004163

科研成果详情

发表状态	已发表Published
题名	Probabilistic analysis of condition numbers for linear programming
作者	Cheung, Dennis; Cucker, Felipe
发表日期	2002
发表期刊	Journal of Optimization Theory and Applications
ISSN/eISSN	0022-3239
卷号	114 期号:1 页码:55-67
摘要	In this paper, we provide bounds for the expected value of the log of the condition number {\cal C}(A) of a linear feasibility problem given by a n × m matrix A (Ref. 1). We show that this expected value is {\cal O}(min{n, m log n}) if n > m and is {\cat O}(log n) otherwise. A similar bound applies for the log of the condition number C (A) introduced by Renegar (Ref. 2).
关键词	condition numbers linear programming probabilistic analysis of algorithms
DOI	10.1023/A:1015460004163
URL	查看来源
收录类别	SCIE
语种	英语English
WOS研究方向	Operations Research & Management Science ; Mathematics
WOS类目	Operations Research & Management Science ; Mathematics, Applied
WOS记录号	WOS:000175545200003
Scopus入藏号	2-s2.0-0036262238
引用统计	被引频次：14[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/7781
专题	个人在本单位外知识产出
作者单位	Department of Mathematics,City University of Hong Kong,Kowloon, Hong Kong, PRC
推荐引用方式 GB/T 7714	Cheung, Dennis,Cucker, Felipe. Probabilistic analysis of condition numbers for linear programming[J]. Journal of Optimization Theory and Applications, 2002, 114(1): 55-67.
APA	Cheung, Dennis, & Cucker, Felipe. (2002). Probabilistic analysis of condition numbers for linear programming. Journal of Optimization Theory and Applications, 114(1), 55-67.
MLA	Cheung, Dennis,et al."Probabilistic analysis of condition numbers for linear programming". Journal of Optimization Theory and Applications 114.1(2002): 55-67.