We study the dynamics of a higher-order family of iterative methods for solving non-linear equations. We show that these iterative root-finding methods are generally convergent when extracting radicals. We examine the Julia sets of these methods with particular polynomials. The examination takes place in the complex plane. © 2010 Elsevier Inc. All rights reserved
In this paper, we present the study of the semilocal and local convergence of an optimal fourth-orde...
A family of iterative methods is analyzed for the problem of extracting the nth root of a positive n...
AbstractThis paper concentrates on iterative methods for obtaining the multiple roots of nonlinear e...
AbstractWe study the dynamics of a higher-order family of iterative methods for solving non-linear e...
In this paper, we present the study of the local convergence of a higher-order family of methods. Mo...
In this work we show the presence of the well-known Catalan numbers in the study of the convergence ...
In this paper, we proposed and analyzed three new root-finding algorithms for solving nonlinear equa...
AbstractIn this work we show the presence of the well-known Catalan numbers in the study of the conv...
Solving problems in various disciplines such as biology, chemistry, economics, medicine, physics, an...
In this paper, a family of new fourth-order optimal iterative methods for solving nonlinear equation...
The real dynamics of a family of fourth-order iterative methods is studied when it is applied on qua...
In this paper, we present many new one-parameter families of classical Rall’s method (modified Newto...
We introduce a new family of iterative methods for solving mathematical models whose governing equat...
In this paper, we analyse the dynamical behaviour of the operators associated with multi-point inter...
AbstractNewton's method is well-known to be generally convergent for solving xn-c=0. In this paper, ...
In this paper, we present the study of the semilocal and local convergence of an optimal fourth-orde...
A family of iterative methods is analyzed for the problem of extracting the nth root of a positive n...
AbstractThis paper concentrates on iterative methods for obtaining the multiple roots of nonlinear e...
AbstractWe study the dynamics of a higher-order family of iterative methods for solving non-linear e...
In this paper, we present the study of the local convergence of a higher-order family of methods. Mo...
In this work we show the presence of the well-known Catalan numbers in the study of the convergence ...
In this paper, we proposed and analyzed three new root-finding algorithms for solving nonlinear equa...
AbstractIn this work we show the presence of the well-known Catalan numbers in the study of the conv...
Solving problems in various disciplines such as biology, chemistry, economics, medicine, physics, an...
In this paper, a family of new fourth-order optimal iterative methods for solving nonlinear equation...
The real dynamics of a family of fourth-order iterative methods is studied when it is applied on qua...
In this paper, we present many new one-parameter families of classical Rall’s method (modified Newto...
We introduce a new family of iterative methods for solving mathematical models whose governing equat...
In this paper, we analyse the dynamical behaviour of the operators associated with multi-point inter...
AbstractNewton's method is well-known to be generally convergent for solving xn-c=0. In this paper, ...
In this paper, we present the study of the semilocal and local convergence of an optimal fourth-orde...
A family of iterative methods is analyzed for the problem of extracting the nth root of a positive n...
AbstractThis paper concentrates on iterative methods for obtaining the multiple roots of nonlinear e...
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