A new block preconditioner for complex symmetric indefinite linear systems

2016 ◽  
Vol 74 (3) ◽  
pp. 889-903 ◽  
Author(s):  
Jian-Hua Zhang ◽  
Hua Dai
Keyword(s):  
Linear Systems ◽  
Complex Symmetric ◽  
Block Preconditioner ◽  
Indefinite Linear Systems

An improved block splitting preconditioner for complex symmetric indefinite linear systems

2017 ◽  
Vol 77 (2) ◽  
pp. 451-478 ◽  
Author(s):  
Ju-Li Zhang ◽  
Hong-Tao Fan ◽  
Chuan-Qing Gu
Keyword(s):  
Linear Systems ◽  
Complex Symmetric ◽  
Indefinite Linear Systems

scholarly journals A relaxed block splitting preconditioner for complex symmetric indefinite linear systems

2018 ◽  
Vol 16 (1) ◽  
pp. 561-573
Author(s):  
Yunying Huang ◽  
Guoliang Chen
Keyword(s):  
Linear Systems ◽  
Spectral Properties ◽  
Numerical Experiments ◽  
Krylov Subspace ◽  
Minimal Polynomial ◽  
Coefficient Matrix ◽  
Subspace Iteration ◽  
Preconditioned Matrix ◽  
Complex Symmetric ◽  
Indefinite Linear Systems

AbstractIn this paper, we propose a relaxed block splitting preconditioner for a class of complex symmetric indefinite linear systems to accelerate the convergence rate of the Krylov subspace iteration method and the relaxed preconditioner is much closer to the original block two-by-two coefficient matrix. We study the spectral properties and the eigenvector distributions of the corresponding preconditioned matrix. In addition, the degree of the minimal polynomial of the preconditioned matrix is also derived. Finally, some numerical experiments are presented to illustrate the effectiveness of the relaxed splitting preconditioner.

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