In this work, we construct a new family of inverse iterative numerical technique for extracting
all roots of nonlinear equation simultaneously. Convergence analysis verifies that the …

ABSTRACT A family of three-step optimal eighth-order iterative algorithm is developed in
this paper in order to find single roots of nonlinear equations using the weight function …

In this paper a three-step numerical method, using weight function, has been derived for
finding the root of non-linear equations. The proposed method possesses the accuracy of …

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 …

The principal objective of this work is to propose a fourth, eighth and sixteenth order scheme
for solving a nonlinear equation. In terms of computational cost, per iteration, the fourth order …

In this paper, we propose two new hybrid methods for solving nonlinear equations, utilizing
the advantages of classical methods (bisection, trisection, and modified false position), ie …

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 …

An iteration scheme in the class of Steffensen-type methods is proposed and extended to
achieve the optimized speed for methods with memory. In fact, 100% convergence …

Steffensen-type methods with memory were originally designed to solve nonlinear
equations without the use of additional functional evaluations per computing step. In this …

This manuscript contains the development of a one-point family of iterative functions. The
family has optimal convergence of a second-order according to the Kung-Traub conjecture …