A note on the improving modified Gauss–Seidel (IMGS) method
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摘要
In this paper, we first provide another proof for a theorem given by Sun (L. Sun, A comparison theorem for the SOR iterative method, J. Comput. Appl. Math. 181 (2005) 336–341) by showing that spectral radius of the Gauss–Seidel method is not greater than that of the SOR(ω) method when 0 < ω ⩽ 1. Next, convergence results of the IMGS method for both an H-matrix and a symmetric positive definite matrix are provided.
论文关键词：IMGS method,SOR(ω) method,Spectral radius,H-matrix,Symmetric positive definite matrix
论文评审过程：Available online 2 August 2006.
论文官网地址：https://doi.org/10.1016/j.amc.2006.06.067
