banach空间中六阶类homier方法的收敛性

Q1 Mathematics

Results in Nonlinear Analysis Pub Date : 2022-08-29 DOI:10.53006/rna.1138201

Suma P B, M. E. Shobha, S. George

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引用次数: 0

摘要

介绍了一种近似Banach空间中非线性方程解的六阶类霍米尔方法。仅对一阶导数和二阶导数的假设用于获得六阶收敛性。我们的证明并不依赖于泰勒级数展开，就像早期对类似方法的研究一样。

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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ON THE CONVERGENCE OF THE SIXTH ORDER HOMEIER LIKE METHOD IN BANACH SPACES

A sixth order Homeier-like method is introduced for approximating a solution of the non-linear equation in Banach space. Assumptions only on first and second derivatives are used to obtain a sixth order convergence. Our proof does not depend on Taylor series expansions as in the earlier studies for the similar methods.

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来源期刊

Results in Nonlinear Analysis Mathematics-Mathematics (miscellaneous)

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

8 weeks