| Status | 已发表Published |
| Title | Some methods for generating both an NT-net and the uniform distribution on a Stiefel manifold and their applications |
| Creator | |
| Date Issued | 1997 |
| Source Publication | Computational Statistics and Data Analysis
 |
| ISSN | 0167-9473 |
| Volume | 24Issue:1Pages:29-46 |
| Abstract | 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×m matrix and H′H =Im}. 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. |
| Keyword | Givens transform Householder transform Number-theoretic method Spherical distribution Stiefel manifold Test of spherical symmetry |
| DOI | 10.1016/s0167-9473(96)00057-6 |
| URL | View source |
| Indexed By | SCIE |
| Language | 英语English |
| WOS Research Area | Computer Science ; Mathematics |
| WOS Subject | Computer Science, Interdisciplinary Applications ; Statistics & Probability |
| WOS ID | WOS:A1997WK87400003 |
| Scopus ID | 2-s2.0-0031555842 |
| Citation statistics | |
| Document Type | Journal article |
| Identifier | http://repository.uic.edu.cn/handle/39GCC9TT/2510 |
| Collection | Research outside affiliated institution |
| Affiliation | 1.Hong Kong Baptist University, Department of Mathematics, Kowloon Tong, 224 Waterloo Road, Hong Kong 2.Institute of Applied Mathematics, Chinese Academy of Sciences, Beijing 100080, China 3.Department of Statistics, University of North Carolina, Chapel Hill, NC 27514, United States |
| Recommended Citation GB/T 7714 | Fang, Kaitai,Li, Runze. Some methods for generating both an NT-net and the uniform distribution on a Stiefel manifold and their applications[J]. Computational Statistics and Data Analysis, 1997, 24(1): 29-46. |
| APA | Fang, Kaitai, & Li, Runze. (1997). Some methods for generating both an NT-net and the uniform distribution on a Stiefel manifold and their applications. Computational Statistics and Data Analysis, 24(1), 29-46. |
| MLA | Fang, Kaitai,et al."Some methods for generating both an NT-net and the uniform distribution on a Stiefel manifold and their applications". Computational Statistics and Data Analysis 24.1(1997): 29-46. |
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