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

Li-Tao Zhang,
Chao-Qian Li,
Yao-Tang Li,

Abstract


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 non-stationary 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 multi-parameters 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.


Citation Format:
Li-Tao Zhang, Chao-Qian Li, Yao-Tang Li, "Convergence of Newton-relaxed Non-stationary Multisplitting Multi-parameters Methods for Nonlinear Equations," Journal of Internet Technology, vol. 20, no. 3 , pp. 817-826, May. 2019.

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