The project report details the development and testing of a Newton-Raphson-based solver for systems of nonlinear equations. This solver incorporates the Secant method to approximate the Jacobian ...

Abstract: This study aimed at comparing the rate of convergence and performance of Newton-Raphson and Regula-Falsi method for solving the nonlinear equations. To solve nonlinear equations, two ...

This MATLAB script aims to numerically solve nonlinear equations using two methods: the Newton-Raphson (NR) method and the Bisection method. The script is structured into sections (%%) where different ...

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

My research projects in the area of nonlinear systems deal with finding dc operating points, steady state, and transient responses of electronic circuits. These are essential tasks in electrical ...

ABSTRACT: In this paper we propose two original iterated maps to numerically approximate the nth root of a real number. Comparisons between the new maps and the famous Newton-Raphson method are ...

ABSTRACT: We propose and demonstrate an original geometric argument for the ancient Babylonian square root method, which is analyzed and compared to the Newton-Raphson method. Based on simple geometry ...