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 ...

Implementation of various numerical methods to solve nonlinear equations, including Newton-Raphson, Bisection, Secant, and more. Each method is demonstrated with sample problems and step-by-step ...

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 ...

Abstract: Many authors suggested methods to solve nonlinear equations. Each of these methods has its advantages and disadvantages. In this work, we chose some methods with low cost and high accuracy ...

Newton-Raphson法の除算の実装は、単純に数値計算としてソフトウェアだけでも実現できるが、ハードウェアとして実装する場合は、中間の乗算ステップでは、正規化や丸めを省いて、固定小数点形式で演算を行う。

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, ...

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.