Computing the analytic singular value decomposition via a pathfollowing

被引：2

作者：

Janovsky, Vladimir ^{[1
]}

Janovska, Drahoslava ^{[2
]}

Tanabe, Kunio ^{[3
]}

机构：

[1] Charles Univ Prague, Fac Math & Phys, Prague, Czech Republic

[2] Inst Chem Technol, Prague, Czech Republic

[3] Inst Stat Math, Tokyo, Japan

来源：

NUMERICAL MATHEMATICS AND ADVANCED APPLICATIONS | 2006年

关键词：

D O I：

10.1007/978-3-540-34288-5_95

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim is to compute ASVD for large sparse matrices. In particular we will consider branches of selected singular values and the corresponding left/right singular vectors. We apply a predictor-corrector algorithm with an adaptive stepsize control.

引用

页码：954 / +

页数：3

共 50 条

[31] A NUMERICAL ALGORITHM FOR COMPUTING THE RESTRICTED SINGULAR VALUE DECOMPOSITION OF MATRIX TRIPLETS
ZHA, HY
LINEAR ALGEBRA AND ITS APPLICATIONS, 1992, 168 : 1 - 25
[32] NOTE ON THE QUADRATIC CONVERGENCE OF KOGBETLIANTZ ALGORITHM FOR COMPUTING THE SINGULAR VALUE DECOMPOSITION
BAI, ZJ
LINEAR ALGEBRA AND ITS APPLICATIONS, 1988, 104 : 131 - 140
[33] On the computation of the restricted singular value decomposition via the cosine-sine decomposition
Chu, DL
De Lathauwer, L
De Moor, B
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2000, 22 (02) : 580 - 601
[34] Computing the Spectral Decomposition of Symmetric Matrices and the Singular Value Decomposition of Nonsymmetric Matrices with Guaranteed Accuracy
Matsekh, A. M.
Shurina, E. P.
OPTOELECTRONICS INSTRUMENTATION AND DATA PROCESSING, 2007, 43 (02) : 159 - 169
[35] Computing the spectral decomposition of symmetric matrices and the singular value decomposition of nonsymmetric matrices with guaranteed accuracy
A. M. Matsekh
E. P. Shurina
Optoelectronics, Instrumentation and Data Processing, 2007, 43 (2)
[36] Automated system monitoring and diagnosis via singular value decomposition
Maryak, JL
Hunter, LW
Favin, S
AUTOMATICA, 1997, 33 (11) : 2059 - 2063
[37] Construction of finite tight frames via singular value decomposition
Ji, Jun
Wang, Long
LINEAR & MULTILINEAR ALGEBRA, 2022, 70 (19): : 4558 - 4567
[38] DISTURBANCE DECOUPLED OBSERVER DESIGN VIA SINGULAR VALUE DECOMPOSITION
FAIRMAN, FW
MAHIL, SS
LUK, L
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1984, 29 (01) : 85 - 86
[39] Reduction of fuzzy rule base via singular value decomposition
Yam, Y
Baranyi, P
Yang, CT
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 1999, 7 (02) : 120 - 132
[40] Computational spectroscopy via singular-value decomposition and regularization
Wang, Peng
Menon, Rajesh
OPTICS EXPRESS, 2014, 22 (18): : 21541 - 21550

← 1 2 3 4 5 →