Buscar
Mostrando ítems 1-8 de 8
Different methods for solving STEM problems
(Journal of Mathematical Chemistry, 2019-05)
We first present a local convergence analysis for some families of fourth and six order methods in order to approximate a locally unique solution of a nonlinear equation in a Banach space setting. Earlier studies have used ...
Unified local convergence for newton's method and uniqueness of the solution of equations under generalized conditions in a Banach space
(Mathematics, 2019-05)
Under the hypotheses that a function and its Frechet derivative satisfy some generalized Newton-Mysovskii conditions, precise estimates on the radii of the convergence balls of Newton's method, and of the uniqueness ball ...
Weaker conditions for inexact mutitpoint Newton-like methods
(Journal of Mathematical Chemistry, 2020-01)
In this paper we study the problem of analyzing the convergence both local and semilocal of inexact Newton-like methods for approximating the solution of an equation in which there exists nondifferentiability. We will ...
Advances in the Semilocal Convergence of Newton's Method with Real-World Applications
(Mathematics, 2019-03-24)
The aim of this paper is to present a new semi-local convergence analysis for Newton's method in a Banach space setting. The novelty of this paper is that by using more precise Lipschitz constants than in earlier studies ...
Study of a high order family: Local convergence and dynamics
(Mathematics, 2019-03-01)
The study of the dynamics and the analysis of local convergence of an iterative method, when approximating a locally unique solution of a nonlinear equation, is presented in this article. We obtain convergence using a ...
Local convergence and a chemical application of derivative free root finding methods with one parameter based on interpolation
(Journal of Mathematical Chemistry, 2016-08)
We present a local convergence analysis of a derivative free fourth order method with one parameter based on rational interpolation in order to approximate a locally unique root of a function. The method is optimal in the ...
Local convergence of a relaxed two-step Newton like method with applications
(Journal of Mathematical Chemistry, 2017-08)
We present a local convergence analysis for a relaxed two-step Newton-like method. We use this method to approximate a solution of a nonlinear equation in a Banach space setting. Hypotheses on the first Fr,chet derivative ...
Secant-like methods for solving nonlinear models with applications to chemistry
(Journal of Mathematical Chemistry, 2017)
We present a local as well a semilocal convergence analysis of secant-like methods under g eneral conditions in order to approximate a locally unique solution of a nonlinear equation in a Banach space setting. The new ...