This repository contains a C implementation of the Newton-Raphson method for finding roots of polynomial equations. The Newton-Raphson method is a powerful numerical technique that uses derivative ...

Abstract: In this paper, the application of the Newton's method in optimization for power flow calculation is considered. Convergence conditions of the suggested method using an example of a ...

Abstract: As a floating-point divider, Newton-Raphson iteration (NRI) is an effective method with a quadratic convergence. In this paper, we propose a class of novel dynamic models called Zhang ...

This project involves solving a four-loop pipe network problem with given inflows and outflows. The goal is to determine the steady-state flow in each pipe using the Newton-Raphson method for ...

In this paper a family of functional iterations is introduced. One member of this family is the Newton-Raphson method and another member, obtained from a generalization of Steffensen's method to a ...

This example solves a nonlinear system of equations by Newton's method. Let the nonlinear system be represented by ...

Newton's Method is a technique for approximating a root to an equation of the form \(f(x)=0\). What is required is an initial estimate for the root, called \(x_1 ...