Banach空间中变形哈雷法的改进局部分析

Poincare Journal of Analysis and Applications Pub Date : 2020-12-30 DOI:10.46753/pjaa.2020.v07i02.007

Debasis Sharma, S. K. Parhi, S. K. Sunanda

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引用次数: 0

摘要

本文利用Banach空间中的Hölder连续一阶Fréchet导数，改进了变形Halley方法的局部分析。该分析避免了使用关于一阶导数有界性的额外假设。最后，数值应用证实，与早期研究相比，我们的分析提供了更大的收敛半径。

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An improved local analysis of deformed Halley method in Banach spaces

In this paper, we provide an improved local analysis of deformed Halley method using Hölder continuous first-order Fréchet derivative in Banach spaces. This analysis avoids the use of the extra assumption on the boundedness of the first derivative. Finally, numerical applications confirm that our analysis provides larger convergence radii in comparison with the earlier study.

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来源期刊

Poincare Journal of Analysis and Applications Mathematics-Applied Mathematics

CiteScore

0.60

自引率

0.00%

发文量