We modify a new iterative method introduced by Abu-Alshaikh [Enformatika. 5 (2005) h. 190--193] to speed up the convergence for finding multiple roots of a nonlinear equation in one variable. Comparison between the discussed ...

This article discusses a new family of three-step iteration method. Analytically, it is showed using Taylor expansion and geometry series that this iterative method has a convergence eight-order. Numerical comparisons ...

This article discusses the iterative method based on minimization techniques to solve the system of the absolute value equations. The analysis begins by discussing how to obtain a solution by applying this method. The ...

This nal project discusses an iterative method that uses geometric construction to solve a nonlinear equation. The method is obtained by consructing the curve of a third degree monic polynomial function that approximates ...

This article discusses the development of high-order iteration methods with a weight function approach to nd solutions to systems of nonlinear equations. Analytically it is proven that the resulting methods have a ...