scholarly journals A splitting method for complex symmetric indefinite linear system

2017 ◽  
Vol 313 ◽  
pp. 343-354 ◽  
Author(s):  
Shi-Liang Wu ◽  
Cui-Xia Li
Keyword(s):  
Linear System ◽  
Splitting Method ◽  
Complex Symmetric

Accelerated GPMHSS Method for Solving Complex Systems of Linear Equations

2017 ◽  
Vol 7 (1) ◽  
pp. 143-155 ◽  
Author(s):  
Jing Wang ◽  
Xue-Ping Guo ◽  
Hong-Xiu Zhong
Keyword(s):  
Complex Systems ◽  
Linear Systems ◽  
Iteration Method ◽  
Numerical Experiments ◽  
Linear Equations ◽  
Splitting Method ◽  
Complex Symmetric Linear Systems ◽  
Systems Of Linear Equations ◽  
Complex Symmetric ◽  
Symmetric Systems

AbstractPreconditioned modified Hermitian and skew-Hermitian splitting method (PMHSS) is an unconditionally convergent iteration method for solving large sparse complex symmetric systems of linear equations, and uses one parameter α. Adding another parameter β, the generalized PMHSS method (GPMHSS) is essentially a twoparameter iteration method. In order to accelerate the GPMHSS method, using an unexpected way, we propose an accelerated GPMHSS method (AGPMHSS) for large complex symmetric linear systems. Numerical experiments show the numerical behavior of our new method.

scholarly journals A splitting method for shifted skew-Hermitian linear system

2016 ◽  
Vol 2016 (1) ◽  
Author(s):  
Angang Cui ◽  
Haiyang Li ◽  
Chengyi Zhang
Keyword(s):  
Linear System ◽  
Splitting Method

scholarly journals Block Preconditioners for Complex Symmetric Linear System with Two-by-Two Block Form

2015 ◽  
Vol 2015 ◽  
pp. 1-9
Author(s):  
Shi-Liang Wu ◽  
Cui-Xia Li
Keyword(s):  
Linear System ◽  
Spectral Properties ◽  
Numerical Experiments ◽  
Complex Symmetric Linear Systems ◽  
Block Form ◽  
Complex Symmetric Linear System ◽  
Splitting Iteration Method ◽  
Complex Symmetric ◽  
Block Preconditioners ◽  
Appl Math

Based on the previous work by Zhang and Zheng (A parameterized splitting iteration method for complex symmetric linear systems, Japan J. Indust. Appl. Math., 31 (2014) 265–278), three block preconditioners for complex symmetric linear system with two-by-two block form are presented. Spectral properties of the preconditioned matrices are discussed in detail. It is shown that all the eigenvalues of the preconditioned matrices are well-clustered. Numerical experiments are reported to illustrate the efficiency of the proposed preconditioners.

Sign in / Sign up

Export Citation Format

Share Document