AbstractWe provide a semilocal convergence analysis for a certain class of Newton-like methods considered also in [I.K. Argyros, A unifying local-semilocal convergence analysis and applications for two-point Newton-like methods in Banach space, J. Math. Anal. Appl. 298 (2004) 374–397; I.K. Argyros, Computational theory of iterative methods, in: C.K. Chui, L. Wuytack (Eds.), Series: Studies in Computational Mathematics, vol. 15, Elsevier Publ. Co, New York, USA, 2007; J.E. Dennis, Toward a unified convergence theory for Newton-like methods, in: L.B. Rall (Ed.), Nonlinear Functional Analysis and Applications, Academic Press, New York, 1971], in order to approximate a locally unique solution of an equation in a Banach space.Using a combination...
AbstractA new global Kantorovich-type convergence theorem for Newton's method in Banach space is pro...
AbstractWe provide a semilocal convergence analysis for Newton-like methods using the ω-versions of ...
A new semilocal convergence theorem for Newton's method is established for solving a nonlinear equat...
AbstractWe introduce new semilocal convergence theorems for Newton-like methods in a Banach space se...
AbstractWe provide a local as well as a semilocal convergence analysis for two-point Newton-like met...
We present a new sufficient semilocal convergence conditions for Newton-like methods in order to app...
We present a new semilocal convergence analysis for Newton-like methods in order to approximate a lo...
AbstractWe provide two types of semilocal convergence theorems for approximating a solution of an eq...
We present a new semilocal convergence analysis for Newton-like methods using restricted convergence...
We provide a semilocal convergence analysis for Newton-type methods to approximate a locally unique ...
This book shows the importance of studying semilocal convergence in iterative methods through Newton...
AbstractWe provide a new semilocal convergence analysis for generating an inexact Newton method conv...
We present a local as well a semilocal convergence analysis for Newton's method in a Banach space se...
AbstractA new semilocal convergence theorem for Newton's method is established for solving a nonline...
The aim of this paper is to present a new semi-local convergence analysis for Newton's method in a B...
AbstractA new global Kantorovich-type convergence theorem for Newton's method in Banach space is pro...
AbstractWe provide a semilocal convergence analysis for Newton-like methods using the ω-versions of ...
A new semilocal convergence theorem for Newton's method is established for solving a nonlinear equat...
AbstractWe introduce new semilocal convergence theorems for Newton-like methods in a Banach space se...
AbstractWe provide a local as well as a semilocal convergence analysis for two-point Newton-like met...
We present a new sufficient semilocal convergence conditions for Newton-like methods in order to app...
We present a new semilocal convergence analysis for Newton-like methods in order to approximate a lo...
AbstractWe provide two types of semilocal convergence theorems for approximating a solution of an eq...
We present a new semilocal convergence analysis for Newton-like methods using restricted convergence...
We provide a semilocal convergence analysis for Newton-type methods to approximate a locally unique ...
This book shows the importance of studying semilocal convergence in iterative methods through Newton...
AbstractWe provide a new semilocal convergence analysis for generating an inexact Newton method conv...
We present a local as well a semilocal convergence analysis for Newton's method in a Banach space se...
AbstractA new semilocal convergence theorem for Newton's method is established for solving a nonline...
The aim of this paper is to present a new semi-local convergence analysis for Newton's method in a B...
AbstractA new global Kantorovich-type convergence theorem for Newton's method in Banach space is pro...
AbstractWe provide a semilocal convergence analysis for Newton-like methods using the ω-versions of ...
A new semilocal convergence theorem for Newton's method is established for solving a nonlinear equat...