Listar por tema "banach space"
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Local convergence of a relaxed twostep Newton like method with applications
(Journal of Mathematical Chemistry, 08/2017)We present a local convergence analysis for a relaxed twostep Newtonlike 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 Newtonlike methods with applications
(Journal of Mathematical Chemistry, 08/2017)We present a new semilocal convergence analysis for Newtonlike 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 centerLipschitz instead of just Lipschitz ... 
On the convergence of a damped Newtonlike 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 righthand 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 righthand side vector
(Applied Mathematics and Computation, 02/2015)We present a convergence analysis for a Damped Secant method with modified righthand 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 higherorder 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 fourthorder 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 fourthorder family of methods. Moreover, the dynamical behavior of this family of iterative methods applied to quadratic polynomials ... 
On the convergence of inexact twopoint Newtonlike 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 Newtonlike methods
(Applied Mathematics and Computation, 09/2014)We present a new sufficient semilocal convergence conditions for Newtonlike 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 secanttype methods
(Nonlinear Studies, 06/2014)We present a unified local and semilocal convergence analysis for secanttype methods in order to approximate a locally unique solution of a nonlinear equation in a Banach space setting. Our analysis includes the computation ... 
Secantlike 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 secantlike methods under g eneral conditions in order to approximate a locally unique solution of a nonlinear equation in a Banach space setting. The new ... 
Twostep Newton methods
(Contemporary study of iterative methods: convergence, dynamics and applications, 2018)In this chapter we extend the applicability of twostep Newton's method for solving nonlinear equations.