P A RECURRENCE RELATIONS AND SEMILOCAL CONVERGENCE OF A FIFTH ORDER METHOD IN BANACH SPACES
: 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
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
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
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
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
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
Data-Driven Learning of Optimal Position-Dependent Exact-Exchange Energy Density Mixing for Improved Density Functionals. [PDF]
Kaupp M, Kovács N, Wodyński A.
europepmc +1 more source
Convergencia semilocal de un método de Newton de dos pasos
. 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
Toward Doubly Local Double Hybrid Functionals Using Neural-Network Local Mixing Functions. [PDF]
Kovács N +3 more
europepmc +1 more source
Many-Body Benchmark of Electronic Charge and Spin Densities for Li<sub>1-<i>x</i></sub>NiO<sub>2</sub>. [PDF]
Ghaffar A +5 more
europepmc +1 more source

