In this paper, we present a novel class of two-step iterative methods with memory for solving
non-linear equations. By transforming an existing sixth-order scheme without memory into …

In this paper, we propose a new one-parameter family of Schröder's method for finding the
multiple roots of nonlinear equations numerically. Further, we derive many new cubically …

Finding multiple zeros of nonlinear functions pose many difficulties for many of the iterative
methods. A major difficulty in the application of iterative methods is the selection of initial …

In this work, two new iterative methods are proposed for finding simple roots of non-linear
equations. The new methods are the modifications of the existing work proposed by …

We construct a new biparametric three‐point method with memory to highly improve the
computational efficiency of its original partner, without adding functional evaluations. In this …

In this article, our main motivation is to present two-step with memory iterative methods for
solving nonlinear equations. We attempted to convert the existing fourth-order without …

In this article, we proposed a two-step with memory iterative scheme for solving nonlinear
equations. We improved the convergence order of the existing fifth-order without memory …

The main objective and inspiration in the construction of two-and three-point with memory
method is to attain the utmost computational efficiency, without any additional function …

Steffensen‐type methods are practical in solving nonlinear equations. Since, such schemes
do not need derivative evaluation per iteration. Hence, this work contributes two new …

Numerous numerical methods have been used to solve unconstrained optimization
problems. The Explicit Group iteration is one of the numerical methods that has an …