AbstractIn this paper, we discuss two variants of Newton's method without using any second derivative for solving nonlinear equations. By using the majorant function and confirming the majorant sequences, we obtain the cubic semilocal convergence and the error estimation in the Kantorovich-type theorems. The numerical examples are presented to support the usefulness and significance
In this paper, we introduce a numerical method for nonlinear equations, based on the Chebyshev third...
The most restrictive condition used by Kantorovich for proving the semilocal convergence of Newton's...
AbstractRecently, there has been some progress on Newton-type methods with cubic convergence that do...
From Kantorovich's theory we establish a general semilocal convergence result for Newton's method ba...
This book shows the importance of studying semilocal convergence in iterative methods through Newton...
Abstract. We present new semilocal convergence theorems for New-ton methods in a Banach space. Using...
A new semilocal convergence theorem for Newton's method is established for solving a nonlinear equat...
AbstractA new global Kantorovich-type convergence theorem for Newton's method in Banach space is pro...
AbstractA new semilocal convergence theorem for Newton's method is established for solving a nonline...
AbstractWe introduce new semilocal convergence theorems for Newton-like methods in a Banach space se...
AbstractWe provide a semilocal convergence analysis for certain modified Newton methods for solving ...
This article is an independently written continuation of an earlier study with the same title [Mathe...
AbstractWe provide a new semilocal convergence analysis for generating an inexact Newton method conv...
Capítulo de libro "Matsumoto A. (eds) Optimization and Dynamics with Their Applications. Springer"It...
AbstractWe provide a semilocal convergence analysis for a certain class of Newton-like methods consi...
In this paper, we introduce a numerical method for nonlinear equations, based on the Chebyshev third...
The most restrictive condition used by Kantorovich for proving the semilocal convergence of Newton's...
AbstractRecently, there has been some progress on Newton-type methods with cubic convergence that do...
From Kantorovich's theory we establish a general semilocal convergence result for Newton's method ba...
This book shows the importance of studying semilocal convergence in iterative methods through Newton...
Abstract. We present new semilocal convergence theorems for New-ton methods in a Banach space. Using...
A new semilocal convergence theorem for Newton's method is established for solving a nonlinear equat...
AbstractA new global Kantorovich-type convergence theorem for Newton's method in Banach space is pro...
AbstractA new semilocal convergence theorem for Newton's method is established for solving a nonline...
AbstractWe introduce new semilocal convergence theorems for Newton-like methods in a Banach space se...
AbstractWe provide a semilocal convergence analysis for certain modified Newton methods for solving ...
This article is an independently written continuation of an earlier study with the same title [Mathe...
AbstractWe provide a new semilocal convergence analysis for generating an inexact Newton method conv...
Capítulo de libro "Matsumoto A. (eds) Optimization and Dynamics with Their Applications. Springer"It...
AbstractWe provide a semilocal convergence analysis for a certain class of Newton-like methods consi...
In this paper, we introduce a numerical method for nonlinear equations, based on the Chebyshev third...
The most restrictive condition used by Kantorovich for proving the semilocal convergence of Newton's...
AbstractRecently, there has been some progress on Newton-type methods with cubic convergence that do...