The convergence of the modified Gauss–Seidel methods for consistent linear systems

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In this paper we present a convergence analysis for the modified Gauss–Seidel methods given in Gunawardena et al. (Linear Algebra Appl. 154–156 (1991) 125) and Kohno et al. (Linear Algebra Appl. 267 (1997) 113) for consistent linear systems. We prove that the modified Gauss–Seidel method converges for some values of the parameters in the preconditioned matrix.

论文关键词：65F10,Modified Gauss–Seidel methods,Consistent linear system,Convergence

论文评审过程：Received 4 February 2002, Revised 16 July 2002, Available online 15 March 2003.

论文官网地址：https://doi.org/10.1016/S0377-0427(02)00812-9