A generalized shift-splitting preconditioner for singular saddle point problems

Cai-Rong Chen and Chang-Feng Ma

Applied Mathematics and Computation, 2015, vol. 269, issue C, 947-955

Abstract: Recently, some authors (Cao et al., 2014; Chen and Ma, 2015; Salkuyeh et al., 2014) discussed the (generalized) shift-splitting preconditioner for nonsingular saddle point problems. In this paper, we further study the generalized shift-splitting preconditioner for solving singular saddle point problems with symmetric positive definite (1, 1)-block. Theoretical analysis shows that the generalized shift-splitting iteration method is unconditionally semi-convergent. Numerical experiments are given to illustrate the efficiency of the proposed preconditioner with appropriate parameters.

Keywords: Singular saddle point problem; Generalized shift-splitting; Preconditioner; Semi-convergence; Numerical test (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:269:y:2015:i:c:p:947-955

DOI: 10.1016/j.amc.2015.08.020

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