修改切线以加快牛顿-拉斐森方法的迭代速度

Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Pub Date : 2023-12-14 DOI:10.37905/euler.v11i2.23094

Maxrizal Maxrizal

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引用次数: 0

摘要

牛顿-拉夫逊法是寻找非线性方程的解或根的方法之一。与其他方法相比，这种方法收敛速度更快，而且在寻找倍值方面更为有效。本研究将证明牛顿-拉夫逊修正法使用了对正切方程的修正。结果表明，每迭代 n 次，牛顿-拉斐尔森修正法的速度差为__。此外，牛顿-拉斐尔森的收敛性是__，牛顿-拉斐尔森修正法的收敛性是__。

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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Modifikasi Garis Singgung Untuk Mempercepat Iterasi Pada Metode Newton Raphson

The Newton-Raphson method is one of the methods to find solutions or roots of nonlinear equations. This method converges faster than other methods and is more effective in finding doubles. In this study, it will be shown that the Newton-Raphson modification uses modifications to the tangent equation. The results show that for every nth iteration, the speed difference of Newton Raphson modification is __. Furthermore, the convergence of Newton Raphson is __, and for Newton Raphson modification is __.

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Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi

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