ListarArtículos Científicos WOS y SCOPUS por tema "banach space"
Mostrando ítems 21-32 de 32
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Local convergence of a relaxed two-step Newton like method with applications
(Journal of Mathematical Chemistry, 08/2017)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 ... -
New improved convergence analysis for Newton-like methods with applications
(Journal of Mathematical Chemistry, 08/2017)We present a new semilocal convergence analysis for Newton-like methods using restricted convergence domains in a Banach space setting. The main goal of this study is to expand the applicability of these methods in cases ... -
New improved convergence analysis for the secant method
(Mathematics and Computers in Simulation, 01/2016)We present a new convergence analysis, for the secant method in order to approximate a locally unique solution of a nonlinear equation in a Banach space. Our idea uses Lipschitz and center-Lipschitz instead of just Lipschitz ... -
On the convergence of a damped Newton-like method with modified right hand side vector
(Applied Mathematics and Computation, 09/2015)We present a convergence analysis for a damped Newton like method with modified right-hand side vector in order to approximate a locally unique solution of a nonlinear equation in a Banach spaces setting. In the special ... -
On the convergence of a Damped Secant method with modified right-hand side vector
(Applied Mathematics and Computation, 02/2015)We present a convergence analysis for a Damped Secant method with modified right-hand side vector in order to approximate a locally unique solution of a nonlinear equation in a Banach spaces setting. In the special case ... -
On the convergence of a higher order family of methods and its dynamics
(Journal of Computational and Applied Mathematics, 01/2017)In this paper, we present the study of the local convergence of a higher-order family of methods. Moreover, the dynamical behavior of this family of iterative methods applied to quadratic polynomials is studied. Some ... -
On the convergence of an optimal fourth-order family of methods and its dynamics
(Applied Mathematics and Computation, 02/2015)In this paper, we present the study of the semilocal and local convergence of an optimal fourth-order family of methods. Moreover, the dynamical behavior of this family of iterative methods applied to quadratic polynomials ... -
On the convergence of inexact two-point Newton-like methods on Banach spaces
(Applied Mathematics and Computation, 08/2015)We present a unified convergence analysis of Inexact Newton like methods in order to approximate a locally unique solution of a nonlinear operator equation containing a nondifferentiable term in a Banach space setting. The ... -
Optimizing the applicability of a theorem by F. Potra for Newton-like methods
(Applied Mathematics and Computation, 09/2014)We present a new sufficient semilocal convergence conditions for Newton-like methods in order to approximate a locally unique solution of an equation in a Banach space setting. This way, we expand the applicability of these ... -
Relaxed secant-type methods
(Nonlinear Studies, 06/2014)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. Our analysis includes the computation ... -
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 ... -
Two-step Newton methods
(Contemporary study of iterative methods: convergence, dynamics and applications, 2018)In this chapter we extend the applicability of two-step Newton's method for solving nonlinear equations.
