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

It is well known that a damped or underrelaxed Newton's method will sometimes solve a system of nonlinear equations when the full Newton's method cannot. This happens, for example, when only a poor ...

In this paper, we extend the classical Newton method for solving continuously differentiable systems of nonlinear equations to B-differentiable systems. Such B-differentiable systems of equations ...

This paper deals with the convergence acceleration of iterative nonlinear methods. An effective iterative algorithm, named the three-point method, is applied to nonlinear analysis of structures. In ...

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 ...

This paper deals with the convergence acceleration of iterative nonlinear methods. An effective iterative algorithm, named the three-point method, is applied to nonlinear analysis of structures. In ...

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 ...

ABSTRACT: The objective of this research is the presentation of a neural network capable of solving complete nonlinear algebraic systems of n equations with n unknowns. The proposed neural solver uses ...