In order to solve the nonlinear equation system arising when solving magnetic fields with the finite element method, very often the Newton-Raphson method is applied. Sometimes it is advantageous or ...

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A comparison between the Newton-Raphson method and the fixed-point technique in hysteretic magnetic field problems is presented. Four different approaches are studied and contrast between them in ...

In numerical analysis, the Newton's Method (or Method of Newton-Raphson), developed by Isaac Newton and Joseph Raphson, aims at estimating the roots of a function. For this purpose, an initial ...

TITLE: Newton’s Method and an Exact Opposite That Average into Halley’s Method AUTHORS: Isaac Fried KEYWORDS: Iterative Methods, Alternating Methods, Opposite Methods, Root Bounds, Undetermined ...

Abstract In this paper, we propose new variants of Newton’s method based on quadrature formula and power mean for solving nonlinear unconstrained optimization problems. It is proved that the order of ...