Listar por tema "majorizing sequence"
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A unified convergence analysis for secanttype methods
(Journal of the Korean Mathematical Society, 11/2014)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 he computation ... 
Enlarging the convergence domain of secantlike methods for equations
(Taiwanese Journal of Mathematics, 04/2015)We present two new semilocal convergence analyses for secantlike methods in order to approximate a locally unique solution of a nonlinear equation in a Banach space setting. These methods include the secant, Newton's ... 
Expanding the aplicability of secant method with applications
(Bulletin of the Korean Mathematical Society, 05/2015)We present new sufficient convergence criteria for the convergence of the secantmethod to a locally unique solution of a nonlinear equation in a Banach space. Our idea uses Lipschitz and center Lipschitz instead of just ... 
Expanding the applicability of the Secant method under weaker conditions
(Applied Mathematics and Computation, 09/2015)We present a new semilocal convergence analysis for Secant method in order to approximate a locally unique solution of a nonlinear equation in a Banach space setting. Our analysis includes the computation of the bounds on ... 
Expanding the convergence domain for ChunStanicaNeta family of third order methods in banach spaces
(Journal of the Korean Mathematical Society, 01/2015)We present a semilocal convergence analysis of a third order method for approximating a locally unique solution of an equation in a Banach space setting. Recently, this method was studied by Chun, Stanica. and Neta. These ... 
Extending the domain of starting points for Newton's method under conditions on the second derivative
(Journal of Computational and Applied Mathematics, 10/2018)In this paper, we propose a center Lipschitz condition for the second Frechet derivative together with the use of restricted domains in order to improve the domain of starting points for Newton's method. In addition, we ... 
Improved convergence analysis for Newtonlike methods
(Numerical Algorithms, 04/2016)We present a new semilocal convergence analysis 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 methods in ... 
Improved semilocal convergence analysis in Banach space with applications to chemistry
(Journal of Mathematical Chemistry, 2017)We present a new semilocal convergence analysis for Secant methods in order to approximate a locally unique solution of a nonlinear equation in a Banach space setting. Our analysis includes the computation of the bounds ... 
Improving the domain of parameters for Newton's method with applications
(Journal of Computational and Applied Mathematics, 07/2017)We present a new technique to improve the convergence domain for Newton’s method both in the semilocal and local case. It turns out that with the new technique the sufficient convergence conditions for Newton’s method are ... 
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 ... 
New semilocal and local convergence analysis for the Secant method
(Applied Mathematics and Computation, 06/2015)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 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 ... 
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 ... 
Starting points for Newton’s method under a center Lipschitz condition for the second derivative
(Journal of Computational and Applied Mathematics, 03/2018)We analyze the semilocal convergence of Newton's method under a center Lipschitz condition for the second derivative of the operator involved different from that used by other authors until now. In particular, we propose ...