Listar por tema "divided difference"
Mostrando ítems 1-12 de 12
-
A unified convergence analysis for secant-type methods
(Journal of the Korean Mathematical Society, 11/2014)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 he computation ... -
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 secant-method 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 ... -
Improved convergence analysis for Newton-like methods
(Numerical Algorithms, 04/2016)We present a new semilocal convergence analysis 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 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 ... -
Local convergence and a chemical application of derivative free root finding methods with one parameter based on interpolation
(Journal of Mathematical Chemistry, 08/2016)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 ... -
Memory in the iterative processes for nonlinear problems
(Mathematical Methods in the Applied Sciences, 2023)In this paper, we study different ways for introducing memory to a parametric family of optimal two-step iterative methods. We study the convergence and the stability, by means of real dynamics, of the methods obtained by ... -
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 ... -
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 center-Lipschitz instead of just Lipschitz ... -
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 ...
