Under the assumption of the known multiplicity of zeros of nonlinear equations, a class of
two-point sextic-order multiple-zero finders and their dynamics are investigated in this paper …

A class of three-point sixth-order multiple-root finders and the dynamics behind their
extraneous fixed points are investigated by extending modified Newton-like methods with …

An optimal family of eighth-order multiple-zero finders and the dynamics behind their basins
of attraction are proposed by considering modified Newton-type methods with multivariate …

In this paper, we present two new derivative-free families of Chebyshev–Halley type
methods for solving nonlinear equations numerically. Both families require only three and …

The primary goal of this work is to introduce general family Steffensen-like methods with
memory of the high efficiency indices. To achieve this target two parameters are introduced …

We develop a family of three-step sixth order methods with generic weight functions
employed in the second and third sub-steps for solving nonlinear systems. Theoretical and …

In this paper, we not only develop an optimal class of three-step eighth-order methods with
higher order weight functions employed in the second and third sub-steps, but also …

In this paper, new iterative method is presented of fifth-order for solving non-linear equations
f (x)= 0 a devoid of the second derivative which requires two derivative functions and …

In this paper, we present a new tri-parametric derivative-free family of Hansen-Patrick type
methods for solving nonlinear equations numerically. The proposed family requires only …

A high-order family of two-point methods costing two derivatives and two functions are
developed by introducing a two-variable weighting function in the second step of the …