牛顿方法的一种新变种，基于幂均值

2009 7th International Symposium on Intelligent Systems and Informatics Pub Date : 2009-10-23 DOI:10.1109/SISY.2009.5291183

N. Ralević, T. Lukić

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引用次数: 0

摘要

本文提出了求解非线性方程的一种基于幂均值的牛顿方法的新变体。讨论了该方法的收敛性，并证明了该方法的收敛阶为三阶。通过对相关非线性方程的数值实验，给出了该方法的性能评价。

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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A new variant of Newton's method based on power mean

In this paper a new variant of Newton's method based on power mean for solving nonlinear equations is proposed. The convergence properties of proposed method are discussed and it is shown that the order of convergence for simple roots is three. Performance evaluation of the proposed method is given by numerical experiments performed on the relevant nonlinear equations.

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2009 7th International Symposium on Intelligent Systems and Informatics

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