A convergence analysis for directional two-step Newton methods

被引：9

作者：

Argyros, Ioannis K. ^{[1
]}

Hilout, Said ^{[2
]}

机构：

[1] Cameron Univ, Dept Math Sci, Lawton, OK 73505 USA

[2] Univ Poitiers, Lab Math & Applicat, F-86962 Futuroscope, France

来源：

NUMERICAL ALGORITHMS | 2010年 / 55卷 / 04期

关键词：

Directional two-step Newton method; Hilbert space; Nonlinear equation; Lipschitz/center-Lipschitz condition; Recurrent functions; Recurrent sequences; Newton-Kantorovich-type hypotheses;

D O I：

10.1007/s11075-010-9368-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A semilocal convergence analysis for directional two-step Newton methods in a Hilbert space setting is provided in this study. Two different techniques are used to generate the sufficient convergence results, as well as the corresponding error bounds. The first technique uses our new idea of recurrent functions, whereas the second uses recurrent sequences. We also compare the results of the two techniques.

引用

页码：503 / 528

页数：26

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