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On the midpoint method for solving equations

delete2010-06-01
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PRE
AI
I
Ioannis K. Argyros
Y
Yeol Je Cho
S
Saïd Hilout *
DOI:10.1016/j.amc.2010.03.076delete
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摘要

摘要

En 中文
Using our idea of recurrent functions, we provide a new semilocal convergence analysis for the midpoint method (MPM) introduced by Argyros and Chen. We show that this way the error estimates are tighter, and the sufficient convergence conditions can be weaker. Moreover, we also show that the Newton-type method (NTM) introduced by Wu and Zhao (using the same information as (MPM)) can always be replaced by the (MPM). Numerical results where our results apply to solve nonlinear equations, but others cannot are also provided in this study. (C) 2010 Elsevier Inc. All rights reserved.
Keyword:
Midpoint method
Newton-type methods
Banach space
Majorizing sequence
Frechet-derivative

期刊

Applied Mathematics and Computation 封面图
Applied Mathematics and Computation
IF:
3.4
论文数:
2.3W
被引数:
3.3W

机构

U
universite de poitiers
学者数:
7.1K
论文数: 5.0K
被引数: 5
G
Gyeongsang National University
学者数:
10.0K
论文数: 8.8K
被引数: 13
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