A Block QMR Method for Computing Multiple Simultaneous Solutions to Complex Symmetric Systems

1996 ◽  
Vol 17 (1) ◽  
pp. 263-274 ◽  
Author(s):  
William E. Boyse ◽  
Andrew A. Seidl
Keyword(s):  
Complex Symmetric ◽  
Qmr Method ◽  
Symmetric Systems

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.

Algebraic multigrid for complex symmetric systems

2000 ◽  
Vol 36 (4) ◽  
pp. 1535-1538 ◽  
Author(s):  
K. Hameyer ◽  
S. Vandewalle ◽  
H. De Gersem ◽  
D. Lahaye
Keyword(s):  
Algebraic Multigrid ◽  
Complex Symmetric ◽  
Symmetric Systems

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
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