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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
Source PublicationCOMPUTATIONAL STATISTICS & DATA ANALYSIS
ISSN0167-9473
Volume24Issue:1Pages:29-46
AbstractWe 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.
KeywordGivens transform householder transform number-theoretic method spherical distribution Stiefel manifold test of spherical symmetry
Language英语
WOS Research AreaComputer Science ; Mathematics
WOS SubjectComputer Science, Interdisciplinary Applications ; Statistics & Probability
WOS IDWOS:A1997WK87400003
PublisherELSEVIER SCIENCE BV
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/28962
Collection中国科学院数学与系统科学研究院
Affiliation1.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
Recommended Citation
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.
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