This project demonstrates how to use the Newton-Raphson numerical method to solve the equation sin(x) = 0, thereby calculating an approximate value of π. The Newton-Raphson method is an efficient ...

Tensegrity structures are geometric nonlinear systems and statically and kinematically indeterminate structures that require an initial shape-finding procedure to establish a self-equilibrium state.

Abstract: In this paper, we propose an iterative decimal divider. The divider uses the Newton-Raphson iterative method with an initial approximation calculated with a minimax polynomial and is able to ...

This project provides a review and implementation of Lagrangian methods in nonlinear programming. It explores the mathematical foundations, presents algorithms, and compares the Lagrangian approach ...

Abstract: Generally, nonlinear magnetic field problems are computed by using an iterative matrix solver such as the ICCG method for linear equations obtained from a nonlinear iterative procedure of ...

A large part of the numerical procedures for obtaining the equilibrium path or load-displacement curve of structural problems with nonlinear behavior is based on the Newton-Raphson iterative scheme, ...