On semi-convergence of the Uzawa–HSS method for singular saddle-point problems

Ai-Li Yang, Xu Li and Yu-Jiang Wu

Applied Mathematics and Computation, 2015, vol. 252, issue C, 88-98

Abstract: Based on the Hermitian and skew-Hermitian splitting (HSS) iteration scheme, an efficient Uzawa–HSS iteration method has been proposed to solve the nonsingular saddle-point problems. In this paper, we discuss the feasibility of the Uzawa–HSS method used for solving singular saddle-point problems. The semi-convergence properties of the Uzawa–HSS iteration method are carefully analyzed, which show that the iterative sequence generated by the Uzawa–HSS method converges to a solution of the singular saddle-point problem if the iteration parameters satisfy suitable restrictions. Numerical results verify the robustness and efficiency of the Uzawa–HSS method.

Keywords: Singular saddle-point problem; Uzawa–HSS method; Semi-convergence; Iteration parameter; Pseudo-spectral radius (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:252:y:2015:i:c:p:88-98

DOI: 10.1016/j.amc.2014.11.100

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