Convergence of Newton-relaxed Non-stationary Multisplitting Multi-parameters Methods for Nonlinear Equations

熱門：王善边崔雪娟黃光男朱丽彬王美玲黃乃熒

臺灣期刊 學校系所學協會民間出版

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篇名	Convergence of Newton-relaxed Non-stationary Multisplitting Multi-parameters Methods for Nonlinear Equations
並列篇名	Convergence of Newton-relaxed Non-stationary Multisplitting Multi-parameters Methods for Nonlinear Equations
作者	Li-Tao Zhang、Chao-Qian Li、Yao-Tang Li
英文摘要	Based on the ideas [The Newton-parallel matrix multisplitting algorithms for solving systems of nonlinear equations, Journal of Sichuan Normal University (Natural Science), 1995, 18(4): 51-55] and [Global relaxed nonstationary multisplitting multi-parameters methods, International Journal of Computer Mathematics, 2008, 85(2): 211-224], this paper extends global relaxed multisplitting TOR iterative method for solving linear systems to that for nonlinear systems and presents Newton-relaxed non-stationary multisplitting multiparameters USAOR method for nonlinear equations. Moreover, we also study the convergence of our methods, set up the convergence theorems and estimate the rate of convergence.
起訖頁	817-826
關鍵詞	Nonlinear equations、Matrix multisplitting method、Global relaxed multisplitting multiparameters method、H-matrix
刊名	網際網路技術學刊
期數	201905 (20:3期)
出版單位	台灣學術網路管理委員會
DOI	10.3966/160792642019052003015 複製DOI
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