GitHub

Root-Finding Numerical Methods

This repository contains a Python implementation of numerical root-finding methods for solving ( f(x) = 0 ). The methods include Bisection, Newton-Raphson, Fixed Point Iteration, False Position, ...
IEEE

Removing the inherent paradox of the Buffon's needle Monte Carlo simulation using Fixed-Point iteration method

Abstract: In teaching simulation, the Buffon's needle is a popular experiment to use for designing a Monte Carlo simulation to approximate the number π. Simulating the Buffon's needle experiment is a ...
IEEE

On the convergence of fixed-point iteration in solving complementarity problems arising in robot locomotion and manipulation

Abstract: Model-based approaches to the planning or control of robot locomotion or manipulation requires the solution of complementarity problems that model intermittent contact. Fixed-point iteration ...
Scientific Research Publishing

Ullah, K. and Arshad, M. (2018) New Three-Step Iteration Process and Fixed Point Approximation in Banach Spaces. Journal of Linear and Topological Algebra, 7, 87-100.

ABSTRACT: In this paper, we investigate fixed point results for Jaggi-type F-contractions in the framework of cone b-metric spaces. Motivated by the need for faster convergence in iterative methods, ...