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Some notes on split Newton iterative algorithm
Author(s) -
Li Dongfang,
Qin Hongyu,
Cheng Xiujun,
Wu Fengyan
Publication year - 2016
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3610
Subject(s) - parameterized complexity , mathematics , newton's method , convergence (economics) , local convergence , numerical analysis , partial differential equation , iterative method , newton's method in optimization , algorithm , mathematical optimization , mathematical analysis , nonlinear system , physics , quantum mechanics , economics , economic growth
In this study, a parameterized split Newton method is derived by using the accelerating technique. Convergence and error estimates of the method are obtained. In practical application, the proposed method can give a better result in view of computational CPU time. Numerical examples on several partial differential equations are shown to illustrate our findings. Copyright © 2015 John Wiley & Sons, Ltd.