In this study, we present a new highly efficient sixth-order family of iterative methods for
solving nonlinear equations along with convergence properties. Further, we extend this …

We present the iterative methods of fifth and eighth order of convergence for solving systems
of nonlinear equations. Fifth order method is composed of two steps namely, Newton's and …

In this paper, a two-step class of fourth-order iterative methods for solving systems of
nonlinear equations is presented. We further extend the two-step class to establish a new …

In this article, we propose a new family of methods, such as Jarratt, with the fifth and sixth
order. This includes some popular methods as special cases. We propose four different …

In this paper, we present a modified Newton–Traub composition with increasing order of
convergence for solving systems of nonlinear equations. The idea is based on the recent …

In this paper, we want to construct a new high‐order and efficient iterative technique for
solving a system of nonlinear equations. For this purpose, we extend the earlier scalar …

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 derive new multi-parametric families of iterative methods whose orders
range from six to eight, for solving nonlinear systems. Based on a generating function …

In this paper, we propose a general bi-parametric family of sixth order iterative methods to
solve systems of nonlinear equations. The presented scheme contains some well known …

In this work, a modified Newton–Özban composition of convergence order six for solving
nonlinear systems is presented. The first two steps of proposed scheme are based on third …