On the solution of skew-symmetric shifted linear systems

被引：0

作者：

Politi, T.

Pugliese, A.

机构：

[1] Politecn Bari, Dipartimento Matemat, I-70126 Bari, Italy

[2] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA

来源：

COMPUTATIONAL SCIENCE - ICCS 2006, PT 4, PROCEEDINGS | 2006年 / 3994卷

关键词：

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper we consider the problem of solving a sequence of linear systems with coefficient matrix A(alpha) = I + alpha A (or A(alpha) = alpha I + A), where a is a real paramater and A is skew-symmetric matrix. We propose to solve this problem exploiting the structure of the Schur decomposition of the skew-symmetric matrix and computing the Singular Value Decomposition of a bidiagonal matrix of halved size.

引用

页码：732 / 739

页数：8

共 50 条

[1] On Krylov subspace methods for skew-symmetric and shifted skew-symmetric linear systems
Du, Kui
Fan, Jia-Jun
Sun, Xiao-Hui
Wang, Fang
Zhang, Ya-Lan
[J]. ADVANCES IN COMPUTATIONAL MATHEMATICS, 2024, 50 (04)
[2] ITERATIVE SOLUTION OF SKEW-SYMMETRIC LINEAR SYSTEMS
Greif, Chen
Varah, James M.
[J]. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2009, 31 (02) : 584 - 601
[3] Algorithm for solving shifted skew-symmetric linear system
Jiang E.
[J]. Frontiers of Mathematics in China, 2007, 2 (2) : 227 - 242
[4] Shifted skew-symmetric iteration methods for nonsymmetric linear complementarity problems
Dong, Jun-Liang
[J]. NUMERICAL ALGORITHMS, 2010, 54 (03) : 343 - 357
[5] Shifted skew-symmetric iteration methods for nonsymmetric linear complementarity problems
Jun-Liang Dong
[J]. Numerical Algorithms, 2010, 54 : 343 - 357
[6] USING THE SKEW-SYMMETRIC ITERATIVE METHODS FOR SOLUTION OF AN INDEFINITE NONSYMMETRIC LINEAR SYSTEMS
Krukier, B. L.
Krukier, L. A.
[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS, 2014, 32 (03) : 266 - 271
[7] Construction of integrals of skew-symmetric linear differential systems
Izobov, N. A.
Karpovich, S. E.
Krasnevskii, L. G.
Lipnitskii, A. V.
[J]. DIFFERENTIAL EQUATIONS, 2010, 46 (12) : 1694 - 1700
[8] Shifted skew-symmetric/skew-symmetric splitting method and its application to generalized saddle point problems
Salkuyeh, Davod Khojasteh
[J]. APPLIED MATHEMATICS LETTERS, 2020, 103
[9] Construction of integrals of skew-symmetric linear differential systems
N. A. Izobov
S. E. Karpovich
L. G. Krasnevskii
A. V. Lipnitskii
[J]. Differential Equations, 2010, 46 : 1694 - 1700
[10] On skew-symmetric preconditioning for strongly non-symmetric linear systems
Krukier, LA
Botchev, MA
[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1996, 76 : 483 - 484

← 1 2 3 4 5 →