AbstractSome new variants of Newton's method based on harmonic mean and midpoint integration rule have been developed and their convergence properties have been discussed. The order of convergence of the proposed methods are three. In addition to numerical tests verifying the theory, a comparison of the results for the proposed methods and some of the existing ones have also been given
The use of majorizing sequences is the usual way to prove the convergence of Newton's method. An alt...
Newton method is one of the most frequently used methods to find solutions to the roots of nonlinear...
AbstractWe review the most important theoretical results on Newton's method concerning the convergen...
AbstractSome new variants of Newton's method based on harmonic mean and midpoint integration rule ha...
AbstractIn this paper, we present some new modifications of Newton's method for solving non-linear e...
In this work, we have developed a fourth order Newton-like method based on harmonic mean and its mul...
This article discusses dynamic comparison of variations of Newton’s methods with different types of ...
In this paper, we consider a modification of the Newton's method which produce iterative method with...
Abstract — In this work, we study the convergence behavior of a modified Newton's method based ...
For the last years, the variants of the Newton-s method with cubic convergence have become popular i...
The aim of the present paper is to introduce and investigate a new Open type variant of Newton's met...
[[abstract]]A new classes of three-step Newton's methods based on power means Newton's method has be...
The rate of convergence of the interval symmetric single-step procedure IMW is increased by introduc...
In literature, the arithmetic mean of the two functions in thedenominator of the second step of orde...
AbstractIn this paper, we present a new modification of Newton's method for solving non-linear equat...
The use of majorizing sequences is the usual way to prove the convergence of Newton's method. An alt...
Newton method is one of the most frequently used methods to find solutions to the roots of nonlinear...
AbstractWe review the most important theoretical results on Newton's method concerning the convergen...
AbstractSome new variants of Newton's method based on harmonic mean and midpoint integration rule ha...
AbstractIn this paper, we present some new modifications of Newton's method for solving non-linear e...
In this work, we have developed a fourth order Newton-like method based on harmonic mean and its mul...
This article discusses dynamic comparison of variations of Newton’s methods with different types of ...
In this paper, we consider a modification of the Newton's method which produce iterative method with...
Abstract — In this work, we study the convergence behavior of a modified Newton's method based ...
For the last years, the variants of the Newton-s method with cubic convergence have become popular i...
The aim of the present paper is to introduce and investigate a new Open type variant of Newton's met...
[[abstract]]A new classes of three-step Newton's methods based on power means Newton's method has be...
The rate of convergence of the interval symmetric single-step procedure IMW is increased by introduc...
In literature, the arithmetic mean of the two functions in thedenominator of the second step of orde...
AbstractIn this paper, we present a new modification of Newton's method for solving non-linear equat...
The use of majorizing sequences is the usual way to prove the convergence of Newton's method. An alt...
Newton method is one of the most frequently used methods to find solutions to the roots of nonlinear...
AbstractWe review the most important theoretical results on Newton's method concerning the convergen...
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