Pu, Bing-Yuan; Wen, Chun A new preconditioned Gauss-Seidel method for linear systems. (English) Zbl 1326.65042 Int. J. Appl. Math. Stat. 53, No. 2, 65-72 (2015). Summary: In this paper, a new preconditioner is introduced to improve the convergence rate of the Gauss-Seidel iterative method in linear systems, and some comparison theorems are derived. Numerical examples demonstrate the efficiency of the proposed method. MSC: 65F10 Iterative numerical methods for linear systems 65F08 Preconditioners for iterative methods Keywords:preconditioning; linear system; Gauss-Seidel method; M-matrix PDFBibTeX XMLCite \textit{B.-Y. Pu} and \textit{C. Wen}, Int. J. Appl. Math. Stat. 53, No. 2, 65--72 (2015; Zbl 1326.65042) Full Text: Link