Title
A generalized shift-splitting preconditioner for singular saddle point problems
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.
Year
DOI
Venue
2015
10.1016/j.amc.2015.08.020
Applied Mathematics and Computation
Keywords
Field
DocType
Singular saddle point problem,Generalized shift-splitting,Preconditioner,Semi-convergence,Numerical test
Numerical tests,Mathematical optimization,Saddle point,Preconditioner,Mathematical analysis,Iterative method,Positive-definite matrix,Invertible matrix,Mathematics
Journal
Volume
Issue
ISSN
269
C
0096-3003
Citations 
PageRank 
References 
16
0.58
19
Authors
2
Name
Order
Citations
PageRank
Cai-Rong Chen1160.58
Changfeng Ma219729.63