Results 91 to 100 of about 900 (183)

P A RECURRENCE RELATIONS AND SEMILOCAL CONVERGENCE OF A FIFTH ORDER METHOD IN BANACH SPACES

open access: yes, 2016
: The aim of this article is to study the semilocal convergence of a fifth order method in Banach spaces. Using recurrence relations, we have proved convergence, existence and uniqueness theorem, along with a priori error bounds which shows the R-order ...
Bhavna Panday, §, J P Jaiswal
core  

A unified convergence analysis for secant-type methods

open access: yes, 2014
We present a unified local and semilocal convergence analysis for secant-type methods in order to approximate a locally unique solution of a nonlinear equation in a Banach space setting.
Argyros, Ioannis Konstantinos   +1 more
core   +1 more source

Semilocal Convergence of a Three Step Fifth Order Iterative Method under Höolder Continuity Condition in Banach Spaces

open access: yes, 2016
In this paper, we study the semilocal convergence of a fifth order iterative method using recurrence relation under the assumption that first order Fréchet derivative satisfies the Hölder condition.
Prashanth Maroju   +2 more
core   +1 more source

Local convergence of Newton's method using Kantorovich convex majorants

open access: yesJournal of Numerical Analysis and Approximation Theory, 2010
We are concerned with the problem of approximating a solution of an operator equation using Newton's method. Recently in the elegant work by Ferreira and Svaiter [6] a semilocal convergence analysis was provided which makes clear the relationship of the
Ioannis K. Argyros
doaj   +2 more sources

Local and Semilocal Convergence of Wang-Zheng’s Method for Simultaneous Finding Polynomial Zeros

open access: yes, 2019
In 1984, Wang and Zheng (J. Comput. Math. 1984, 1, 70–76) introduced a new fourth order iterative method for the simultaneous computation of all zeros of a polynomial.
Slav I. Cholakov
core   +1 more source

Weaker conditions for the convergence of Newton-like methods

open access: yesJournal of Numerical Analysis and Approximation Theory, 2007
We provide a semilocal convergence analysis for a certain class of Newton-like methods for the solution of a nonlinear equation containing a non differentiable term. Our approach provides: weaker sufficient conditions; finer error bounds on the distances
Ioannis K. Argyros
doaj  

Convergencia semilocal de un método de Newton de dos pasos

open access: yes, 2008
. We provide a semilocal convergence analysis for a cubically convergent two-step Newton method (2) recently introduced by H. Homeier [8], [9], and also studied by A. Ӧzban [13].
Argyros, Ioannis K.
core  

Many-Body Benchmark of Electronic Charge and Spin Densities for Li<sub>1-<i>x</i></sub>NiO<sub>2</sub>. [PDF]

open access: yesJ Chem Theory Comput
Ghaffar A   +5 more
europepmc   +1 more source

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