Penerapan Metode Newton Raphson untuk Pencarian Akar pada Fungsi Kompleks

M. Syafii, Rahmi Ridhallah, Rizki Amalia Nur
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Abstract

This study aims to compare analytical methods and numerical methods in determining the roots of equations of a complex function. The numerical method used in this research is the Newton Raphson method. In this study two examples of complex functions were given, after which the roots of the equation were searched using the analytical method and the Newton Raphson method, then the results were compared. In this study, two examples are given, namely and . In example one, three different roots were obtained analytically, while numerical calculations using the Newton Raphson method obtained a value that converged to one of the roots that had been obtained analytically. In example two, four different roots were obtained analytically, while numerically using the Newton Raphson method similarly if done using the Newton Raphson method, a value that converged to one of the roots that had been obtained analytically was obtained.
牛顿拉尔森方法的应用,寻找复杂功能的根
本研究的目的是比较解析法和数值法在确定复函数方程的根。本研究采用的数值方法是牛顿-拉夫森法。本文给出了两个复变函数的算例,分别用解析法和牛顿-拉夫森法求了方程的根,并对结果进行了比较。在本研究中,给出了两个例子,即和。在例1中,三个不同的根是解析得到的,而使用Newton Raphson方法进行数值计算得到的值收敛于解析得到的其中一个根。在例二中,用解析法得到了四个不同的根,而用牛顿·拉夫森方法进行数值计算时,如果用牛顿·拉夫森方法进行数值计算,则得到了收敛于解析法得到的其中一个根的值。
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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