scholarly journals A Generalized Preconditioned MPHSS Method for a Class of Complex Symmetric Linear System

2013 ◽  
Author(s):  
Zhongshe Gao
Keyword(s):  
Linear System ◽  
Complex Symmetric Linear System ◽  
Complex Symmetric

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.

scholarly journals A GENERALIZED PRECONDITIONED MHSS METHOD FOR A CLASS OF COMPLEX SYMMETRIC LINEAR SYSTEMS

2013 ◽  
Vol 18 (4) ◽  
pp. 561-576 ◽  
Author(s):  
Mehdi Dehghan ◽  
Marzieh Dehghani-Madiseh ◽  
Masoud Hajarian
Keyword(s):  
Linear System ◽  
Linear Systems ◽  
Iteration Method ◽  
New Method ◽  
Iterative Sequence ◽  
Parameter Region ◽  
System A ◽  
Complex Symmetric Linear Systems ◽  
Complex Symmetric ◽  
Two Parameter

Based on the MHSS (Modified Hermitian and skew-Hermitian splitting) and preconditioned MHSS methods, we will present a generalized preconditioned MHSS method for solving a class of complex symmetric linear systems. The new method (GPMHSS) is essentially a two-parameter iteration method where the iterative sequence is unconditionally convergent to the unique solution of the linear system. A parameter region of the convergence for our method is provided. An efficient preconditioner is presented for the actual implementation of the new method. Some numerical results are given to show its effectiveness.

Chaos in a manifold piecewise linear system

1981 ◽  
Vol 64 (10) ◽  
pp. 9-17 ◽  
Author(s):  
Toshimichi Saito ◽  
Hiroichi Fujita
Keyword(s):  
Linear System ◽  
Piecewise Linear ◽  
Piecewise Linear System

Impossibility of steady squeezing for two-mode linear system without self-action

1991 ◽  
Vol 1 (9) ◽  
pp. 1217-1227 ◽  
Author(s):  
A. A. Bakasov ◽  
N. V. Bakasova ◽  
E. K. Bashkirov ◽  
V. Chmielowski
Keyword(s):  
Linear System

A COMINRES-QLP Method for Solving Complex Symmetric Linear Systems

2020 ◽  
Vol 140 (12) ◽  
pp. 832-841
Author(s):  
Lijun Liu ◽  
Kazuaki Sekiya ◽  
Masao Ogino ◽  
Koki Masui
Keyword(s):  
Linear Systems ◽  
Complex Symmetric Linear Systems ◽  
Complex Symmetric
Sign in / Sign up

Export Citation Format

Share Document