一种计算非线性方程多重根的有效迭代格式

Anuradha Singh
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引用次数: 0

摘要

现实生活中最具挑战性的任务之一是找到非线性方程的多重零。众所周知,迭代方法对初始猜测高度敏感。因此,初始猜测的选择也是迭代方法的难点。许多研究者已经建立了求多重根的迭代方法的广义形式。本文的主要研究重点是将现有的四阶方法从单根推广到多根,因为现有的多根求解方法对某些非线性函数的求解是失败的或表现不佳的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
An efficient iterative scheme for computing multiple roots of nonlinear equations
One of the most challenging tasks in real life is to find the multiple zeros of nonlinear equations. It is also known that the iterative methods are highly sensitive towards initial guesses. So, the choice of initial guess is also a difficult task with iterative methods. Various researchers have established the generalized form of iterative methods for finding the multiple roots. The prime focus of this study is to extend existing fourth order method from simple roots to multiple roots because some of the available methods for findings multiple root are fails or do not perform well for some nonlinear functions.
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