Some notes on split Newton iterative algorithm | Zendy

Li Dongfang | Zendy; Qin Hongyu | Zendy; Cheng Xiujun | Zendy; Wu Fengyan | Zendy

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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.

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