A note on the hyperbolic singular value decomposition

被引：7
|
作者：
Levy, BC [1 ]
机构：
[1] Univ Calif Davis, Dept Elect & Comp Engn, Davis, CA 95616 USA
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 1998年 / 277卷 / 1-3期
关键词：
hyperbolic singular value decomposition; isotropic subspace;
D O I：
10.1016/S0024-3795(98)10055-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A procedure is presented for constructing the hyperbolic singular value decomposition of a matrix A with respect to a signature matrix Phi. When the rank of A is less than the rank of A(H)Phi A, the decomposition preserves the structure of the isotropic subspace of the column space of A. (C) 1998 Elsevier Science Inc. All rights reserved.
引用
收藏
页码：135 / 142
页数：8
相关论文
共 50 条
  • [21] Visualizing singular value decomposition
    Zhang, Lingsong
    Wang, Yao
    WILEY INTERDISCIPLINARY REVIEWS-COMPUTATIONAL STATISTICS, 2014, 6 (03): : 197 - 201
  • [22] A multilinear singular value decomposition
    De Lathauwer, L
    De Moor, B
    Vandewalle, J
    SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2000, 21 (04) : 1253 - 1278
  • [23] SINGULAR VALUE DECOMPOSITION OF AN IMAGE
    WANG, TH
    SMPTE JOURNAL, 1985, 94 (01): : 166 - 166
  • [24] Singular Value Decomposition of Complexes
    Brake, Danielle A.
    Hauenstein, Jonathan D.
    Schreyer, Frank-Olaf
    Sommese, Andrew J.
    Stillman, Michael E.
    SIAM JOURNAL ON APPLIED ALGEBRA AND GEOMETRY, 2019, 3 (03) : 507 - 522
  • [25] Downdating the Singular Value Decomposition
    1600, (16):
  • [26] GENERALIZING SINGULAR VALUE DECOMPOSITION
    VANLOAN, CF
    SIAM JOURNAL ON NUMERICAL ANALYSIS, 1976, 13 (01) : 76 - 83
  • [27] Singular value decomposition in AHP
    Gass, SI
    Rapcsák, T
    EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2004, 154 (03) : 573 - 584
  • [28] Simultaneous singular value decomposition
    Maehara, Takanori
    Murota, Kazuo
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2011, 435 (01) : 106 - 116
  • [29] UPDATING SINGULAR VALUE DECOMPOSITION
    BUNCH, JR
    NIELSEN, CP
    NUMERISCHE MATHEMATIK, 1978, 31 (02) : 111 - 129
  • [30] Updating the singular value decomposition
    Davies, PI
    Smith, MI
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2004, 170 (01) : 145 - 167
12345