Some methods for generating both an NT-net and the uniform distribution on a Stiefel manifold and their applications

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	Some methods for generating both an NT-net and the uniform distribution on a Stiefel manifold and their applications
	Fang, KT ; Li, RZ
	1997-03-06
发表期刊	COMPUTATIONAL STATISTICS & DATA ANALYSIS
ISSN	0167-9473
卷号	24 期号:1 页码:29-46
摘要	We propose in this paper two methods for generating both an NT-net (see below) and the uniform distribution on a Stiefel manifold O(n, m), where O(n, m) = {H : H is an n x m matrix and H'H = I-m}. One method is based on the Householder transform while another is based on the Givens transform. Some applications of these two algorithms are presented and some numerical comparisons among these methods are given also.
关键词	Givens transform householder transform number-theoretic method spherical distribution Stiefel manifold test of spherical symmetry
语种	英语
WOS研究方向	Computer Science ; Mathematics
WOS类目	Computer Science, Interdisciplinary Applications ; Statistics & Probability
WOS记录号	WOS:A1997WK87400003
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/28962
专题	中国科学院数学与系统科学研究院
作者单位	1.HONG KONG BAPTIST UNIV,DEPT MATH,KOWLOON,HONG KONG 2.CHINESE ACAD SCI,INST APPL MATH,BEIJING 100080,PEOPLES R CHINA 3.UNIV N CAROLINA,DEPT STAT,CHAPEL HILL,NC 27514
推荐引用方式 GB/T 7714	Fang, KT,Li, RZ. Some methods for generating both an NT-net and the uniform distribution on a Stiefel manifold and their applications[J]. COMPUTATIONAL STATISTICS & DATA ANALYSIS,1997,24(1):29-46.
APA	Fang, KT,&Li, RZ.(1997).Some methods for generating both an NT-net and the uniform distribution on a Stiefel manifold and their applications.COMPUTATIONAL STATISTICS & DATA ANALYSIS,24(1),29-46.
MLA	Fang, KT,et al."Some methods for generating both an NT-net and the uniform distribution on a Stiefel manifold and their applications".COMPUTATIONAL STATISTICS & DATA ANALYSIS 24.1(1997):29-46.