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 …

Introduction to Higher‐Order Iterative Methods for Finding Multiple Roots of Nonlinear Equations
Page 1 Hindawi Publishing Corporation Journal of Mathematics Volume 2013, Article ID …

The complex dynamical analysis of the cubic-order iterative family is proposed to draw the
fractal images via M\"{o} bius conjugacy map applied to a quadratic polynomial $(zA)(zB) …

Here, we suggest a high-order optimal variant/modification of Schröder's method for
obtaining the multiple zeros of nonlinear uni-variate functions. Based on quadratically …

We study the complex dynamics by analyzing the dynamical planes associated with the
family of third order multiple root finders and the parameter spaces related to the free critical …

This study suggests new iterative methods, based on the conventional Newton's method, to
obtain the numerical solutions of nonlinear equations. We prove that our methods include …

The main motivation of this study is to present an optimal scheme in a general way that can
be applied to any existing optimal multipoint fourth-order iterative scheme whose first …

In this paper, we present many new fourth-order optimal families of Jarratt's method and
Ostrowski's method for computing simple roots of nonlinear equations numerically. The …

We present a family of fifth-order iterative methods for finding multiple roots of nonlinear
equations. Numerical examples are considered to check the validity of the theoretical …

We present a new optimal class of Ostrowski's method for obtaining multiple zeros of
univariate nonlinear functions. Several researchers tried to construct an optimal family of …