Modified complex-symmetric and skew-Hermitian splitting iteration method for a class of complex-symmetric indefinite linear systems

2016 ◽  
Vol 76 (1) ◽  
pp. 93-107 ◽  
Author(s):  
Shi-Liang Wu ◽  
Cui-Xia Li
Keyword(s):  
Linear Systems ◽  
Iteration Method ◽  
Splitting Iteration Method ◽  
Complex Symmetric ◽  
Indefinite Linear Systems

On Preconditioned MHSS Real-Valued Iteration Methods for a Class of Complex Symmetric Indefinite Linear Systems

2016 ◽  
Vol 6 (2) ◽  
pp. 192-210 ◽  
Author(s):  
Zhi-Ru Ren ◽  
Yang Cao ◽  
Li-Li Zhang
Keyword(s):  
Linear Systems ◽  
Iteration Method ◽  
Spectral Properties ◽  
Convergence Theory ◽  
Numerical Examples ◽  
Preconditioned Matrix ◽  
Iteration Methods ◽  
Complex Symmetric ◽  
Indefinite Linear Systems

AbstractA generalized preconditioned modified Hermitian and skew-Hermitian splitting (GPMHSS) real-valued iteration method is proposed for a class of complex symmetric indefinite linear systems. Convergence theory is established and the spectral properties of an associated preconditioned matrix are analyzed. We also give several variants of the GPMHSS preconditioner and consider the spectral properties of the preconditioned matrices. Numerical examples illustrate the effectiveness of our proposed method.

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