A Fast Shift-Splitting Iteration Method for Nonsymmetric Saddle Point Problems. Issue 1 (31st January 2017)

• Record Type: Journal Article
• Authors: Dou, Quan-Yu; Yin, Jun-Feng; Liao, Ze-Yu
• Is Part Of: East Asian journal on applied mathematics. Volume 7:Issue 1(2017)
• Page Start: 172
• Page End: 191
• Publication Date: 2017-01-31
• Subjects: 65M10, -- 78A48; Nonsymmetric saddle point problems, -- fast shift-splitting, -- convergence, -- semi-convergence; Applied mathematics -- Periodicals; 519.05
• DOI: 10.4208/eajam.170616.311216a
• Languages: English
• ISSNs: 2079-7362

Abstract

Abstract: Based on the shift-splitting technique and the idea of Hermitian and skew-Hermitian splitting, a fast shift-splitting iteration method is proposed for solving nonsingular and singular nonsymmetric saddle point problems in this paper. Convergence and semi-convergence of the proposed iteration method for nonsingular and singular cases are carefully studied, respectively. Numerical experiments are implemented to demonstrate the feasibility and effectiveness of the proposed method.