用递归函数求解方程的kurchatov型方法的收敛性

Q3 Mathematics

Matematychni Studii Pub Date : 2022-10-31 DOI:10.30970/ms.58.1.103-112

I. Argyros, S. Shakhno, H. Yarmola

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引用次数: 1

摘要

研究了在经典Lipschitz条件下求解一阶可分差分非线性方程的Kurchatov方法及其两步修正的局部和半局部收敛性。为了发展收敛性分析，我们将限制收敛区域的方法与我们的递归函数技术相结合。半局部收敛是基于标量序列的最大化。并给出了数值实验结果。

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On the convergence of Kurchatov-type methods using recurrent functions for solving equations

We study a local and semi-local convergence of Kurchatov's method and its two-step modification for solving nonlinear equations under the classical Lipschitz conditions for the first-order divided differences. To develop a convergence analysis we use the approach of restricted convergence regions in a combination to our technique of recurrent functions. The semi-local convergence is based on the majorizing scalar sequences. Also, the results of the numerical experiment are given.

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来源期刊

Matematychni Studii Mathematics-Mathematics (all)

CiteScore

1.00

自引率

0.00%

发文量

期刊介绍： Journal is devoted to research in all fields of mathematics.