Abstract: Systems of nonlinear equations are known as the basis for many models of engineering and data science, and their accurate solutions are very critical in achieving progress in these fields.

This repository contains MATLAB code implementations for solving nonlinear equations and performing numerical integrations to model the dynamics of a body falling through a fluid. The project focuses ...

Abstract: This paper presents a detailed investigation into the effectiveness of iterative methods in solving the linear system subproblem of a Newton power flow solution process. An exact Newton ...

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

Carpathian Journal of Mathematics, Vol. 31, No. 1 (2015), pp. 11-30 (20 pages) We use the method of recurrent functions to provide a new semilocal convergence analysis for secant-like methods in order ...

[6] A new second order derivative free method for numerical solution of non-linear algebraic and transcendental equations using interpolation technique ...

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1 Institute of Data Science and Engineering, Xuzhou University of Technology, Xuzhou, China 2 School of Mathematics and Statistics, Huaibei Normal University, Huaibei, China This study introduces a ...