In this contribution, a novel eighth-order scheme is presented for solving nonlinear
equations with multiple roots. The proposed scheme comprises of three steps with the …

A number of higher order iterative methods with derivative evaluations are developed in
literature for computing multiple zeros. However, higher order methods without derivative for …

In this study, we introduce a novel weight function-based eighth order derivative-free method
for locating repeated roots of nonlinear equations. It is a three-step Steffensen-type scheme …

A number of higher order Newton-like methods (ie the methods requiring both function and
derivative evaluations) are available in literature for multiple zeros of a nonlinear function …

In recent times, some optimal eighth order iterative methods for computing multiple zeros of
nonlinear functions have been appeared in literature. Different from these existing optimal …

In this paper, we present dynamical viewpoints under the Möbius conjugacy map on the
Riemann sphere for a uniparametric family of optimal eighth-order multiple-root finders …

Several root-ratio multipoint methods for finding multiple zeros of univariate functions were
recently presented. The characteristic of these methods is that they deal with m th root of …

In this paper, we develop Newton-like iterative methods of the convergence order three and
six to eight. These methods are developed by using homotopy perturbation technique and …

In order to provide a new method to identify the mathematical model of circuit systems, this
paper studies modelling methods by combining the iterative strategy with the nonlinear …

Cybersecurity is one of the most important concerns associated with ever expanding internet
based technologies, products, services and networks. If cybersecurity is prevention then …