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Ball convergence theorems and the convergence planes of an iterative method for nonlinear equations
We study the local convergence of a method presented by Cordero et al. of convergence order at least five to approximate a locally unique solution of a nonlinear equation. These studies show the convergence under hypotheses ...
On the local convergence and the dynamics of Chebyshev–Halley methods with six and eight order of convergence
We study the local convergence of Chebyshev–Halley methods with six and eight order of convergence to approximate a locally unique solution of a nonlinear equation. In Sharma (2015) (see Theorem 1, p. 121) the convergence ...
Study of a high order family: Local convergence and dynamics
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 ...
Improved convergence analysis for Newton-like methods
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 ...
A feasible-side globally convergent modifier-adaptation scheme
(Elsevier, 2017-02)
In the context of static real-time optimization (RTO) of uncertain plants, the standard modifier-adaptation scheme consists in adding first-order correction terms to the cost and constraint functions of a model-based ...
On the convergence of inexact two-point Newton-like methods on Banach spaces
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 ...
Local convergence for multi-point-parametric Chebyshev–Halley-type methods of high
We present a local convergence analysis for general multi-point-Chebyshev-Halley-type methods (MMCHTM) of high convergence order in order to approximate a solution of an equation in a Banach space setting. MMCHTM includes ...
Boundedness and convergence on fractional order systems
(Elsevier, 2016)
We establish conditions to guarantee boundedness and convergence of signals described
by non integer order equations using Caputo derivatives. The case of linear time-varying
unforced equations is first studied, and ...
Convergence and dynamics of a higher order family of iterative methods
In this chapter we study the convergence as well as the dynamics of some high convergence order family of iterative methods.
Ball convergence for Steffensen-type fourth-order methods
We present a local convergence analysis for a family of Steffensen-type fourth-order methods in order to approximate a solution of a nonlinear equation. We use hypotheses up to the first derivative in contrast to earlier ...