SciELO

An efficient Newton-Raphson based form-finding method for tensegrity structures with given strut forces and cable force density

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.
IEEE

2-D Magnetic Localization Newton–Raphson-Based Method Considering Measurement Uncertainties for Smart Surface Applications

Abstract: Magnetic localization techniques present some interests for microrobotics applications using smart surfaces due to their inherent advantages, such as integration ability or low cost. However ...
IEEE

Enhancing ACPF Analysis: Integrating Newton-Raphson Method with Gradient Descent and Computational Graphs

Abstract: This paper presents a new method for enhancing Alternating Current Power Flow (ACPF) analysis. The method integrates the Newton-Raphson (NR) method with Enhanced-Gradient Descent (GD) and ...
GitHub

Incorporate a Newton-Raphson Unstable Periodic Orbit numerical finder

Implement Newton-Raphson method for numerically finding unstable periodic orbits of continuous dynamical systems. The linear and tensor correction method are outlined in this paper. A. S. Gritsun, ...
acm.org

Some numerical experiments using Newton’s method for nonlinear parabolic and elliptic boundary-value problems

Using a generalization of Newton's method, a non-linear parabolic equation of the form ut - uxx = g(u), and a non-linear elliptic equation uxx + uyy = eu, are solved numerically. Comparison of these ...
Yahoo

Researchers unlock new potential in Newton’s method, 300 years after its creation

Add Yahoo as a preferred source to see more of our stories on Google. For over three centuries, researchers have relied on a powerful algorithm developed by Isaac Newton to tackle complex problems in ...
GitHub

three_variables_newton_1.m

% This Matlab code solves three-variable non-linear equation f(x) = 0 using Newton-Raphson iterative method [1]. % Ref. [1] S. Chapra, "Applied numerical methods with MATLAB", Mc Craw Hill, Singapore ...
Scientific Research Publishing

Srivastava, R.B. and Srivastava, S. (2011) Comparison of Numerical Rate of Convergence of Bisection, Newton-Raphson’s and Secant Methods. Journal of Chemical, Biological and ...

ABSTRACT: This research extensively evaluates three leading mathematical software packages: Python, MATLAB, and Scilab, in the context of solving nonlinear systems of equations with five unknown ...