弱条件下Newton-Potra方法的扩展收敛性分析

Q4 Mathematics

Applicationes Mathematicae Pub Date : 2021-01-01 DOI:10.4064/AM2406-7-2020

I. Argyros, S. Shakhno, Yuriy Shunkin, H. Yarmola

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引用次数: 0

摘要

．研究了一类非线性方程的不可微部分。在较弱的条件下证明了Newton-Potra方法在导数和一阶可分差条件下的半局部收敛性。得到了较弱的半局部收敛准则和较严格的误差估计。从而扩展了该方法的适用性。这些优点是在相同的计算量下获得的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Extended convergence analysis of the Newton–Potra method under weak conditions

. We study a nonlinear equation with a nondiﬀerentiable part. The semi-local convergence of the Newton–Potra method is proved under weaker (than in earlier research) conditions on derivatives and divided dif-ferences of the ﬁrst order. Weaker semi-local convergence criteria and tighter error estimations are obtained. Hence, the applicability of this method is extended too. These advantages are obtained under the same computational eﬀort.

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来源期刊

Applicationes Mathematicae Mathematics-Applied Mathematics

CiteScore

0.30

自引率

0.00%

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