Some methods for generating both an NT-net and the uniform distribution on a Stiefel manifold and their applications
文献类型：期刊论文
| 作者 | Fang, KT; Li, RZ |
| 刊名 | COMPUTATIONAL STATISTICS & DATA ANALYSIS
 |
| 出版日期 | 1997-03-06 |
| 卷号 | 24期号:1页码:29-46 |
| ISSN号 | 0167-9473 |
| 关键词 | Givens transform householder transform number-theoretic method spherical distribution Stiefel manifold test of spherical symmetry |
| 英文摘要 | 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. |
| WOS研究方向 | Computer Science ; Mathematics |
| 语种 | 英语 |
| 出版者 | ELSEVIER SCIENCE BV |
| WOS记录号 | WOS:A1997WK87400003 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/28961]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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