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.

Full Text:

PDF

Refbacks

  • There are currently no refbacks.





Published by Executive Committee, Taiwan Academic Network, Ministry of Education, Taipei, Taiwan, R.O.C
JIT Editorial Office, Library and Information Center, National Dong Hwa University
No. 1, Sec. 2, Da Hsueh Rd. Shoufeng, Hualien 97401, Taiwan, R.O.C.
Tel: +886-3-931-7017  E-mail: jit.editorial@gmail.com