Comparison results between Jacobi and other iterative methods

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摘要

Some comparison results between Jacobi iterative method with the modified preconditioned simultaneous displacement (MPSD) iteration and other iterations, for solving nonsingular linear systems, are presented. It is showed that spectral radius of Jacobi iteration matrix B is less than that of several iteration matrices introduced in Liu (J. Numer. Methods Comput. Appl. 1 (1992) 58) under some conditions.

论文关键词:65F10,Comparison results,Jacobi iteration,MPSD iteration,Spectral radius

论文评审过程:Received 25 October 2002, Revised 17 September 2003, Available online 13 February 2004.

论文官网地址:https://doi.org/10.1016/j.cam.2003.10.017