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19952026
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math.NA2016

An optimal three-point eighth-order iterative method without memory for solving nonlinear equations with its dynamics

Gunar Matthies, Mehdi Salimi, Somayeh Sharifi +1

We present a three-point iterative method without memory for solving nonlinear equations in one variable. The proposed method provides convergence order eight with four function ev…

math.NA2015★ 1 cited

An optimal class of eighth-order iterative methods based on Kung and Traub's method with its dynamics

Gunar Matthies, Mehdi Salimi, Somayeh Sharifi +1

In this paper, we present a three-point without memory iterative method based on Kung and Traub's method for solving non-linear equations in one variable. The proposed method has e…

math.NA2015

On a Moser-Steffensen type method for nonlinear systems of equations

S. Amat, M. Grau-Sanchez, M. A. Hernandez-Veron +1

This paper is devoted to the construction and analysis of a Moser-Steffensen iterative scheme. The method has quadratic convergence without evaluating any derivative nor inverse op…

math.NA2011★ 4 cited

Padé approximation for a multivariate Markov transform

Ognyan Kounchev, Hermann Render

Methods of Padé approximation are used to analyse a multivariate Markov transform which has been recently introduced by the authors, and which is generalizing the well-known in Spe…

math.NA2009

On a new method for controlling exponential processes

O. Kounchev, H. Render

Unlike the classical polynomial case there has not been invented up to very recently a tool similar to the Bernstein-Bezier representation which would allow us to control the behav…