Convergence of generalized AOR iterative method for linear systems with strictly diagonally dominant matrices

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• 作者：Gui-Xian Tian ; Ting-Zhu Huang ; Shu-Yu Cui
• 关键词：GAOR method ; Spectral radius ; Convergence
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2008
• 期刊代码：72_03770427
• 类别：cp
• 出版时间：15 March 2008
• 卷：213
• 期：1
• 页码：240-247
• 文件大小：151 K

摘要

In this paper, some improvements on Darvishi and Hessari [On convergence of the generalized AOR method for linear systems with diagonally dominant coefficient matrices, Appl. Math. Comput. 176 (2006) 128–133] are presented for bounds of the spectral radius of l_ω,r, which is the iterative matrix of the generalized AOR (GAOR) method. Subsequently, some new sufficient conditions for convergence of GAOR method will be given, which improve some results of Darvishi and Hessari [On convergence of the generalized AOR method for linear systems with diagonally dominant coefficient matrices, Appl. Math. Comput. 176 (2006) 128–133].