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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 OF A NEWTON-TYPE METHOD IN BANACH SPACES UNDER A GAMMA-TYPE CONDITION
(Universidad Católica del Norte, Departamento de Matemáticas, 2008)
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 ...
Local convergence of an inexact-restoration method and numerical experiments
(Springer/plenum PublishersNew YorkEUA, 2005)
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 ...
Local convergence of fourth and fifth order parametric family of iterative methods in Banach spaces
This paper deal with the study of local convergence of fourth and fifth order iterative method for solving nonlinear equations in Banach spaces. Only the premise that the first order Frechet derivative fulfills the Lipschitz ...
A study on the local convergence and the dynamics of Chebyshev–Halley–type methods free from second derivative
We study the local convergence of Chebyshev-Halley-type methods of convergence order at least five to approximate a locally unique solution of a nonlinear equation. Earlier studies such as Behl (2013), Bruns and Bailey ...
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 ...
Globally convergent inexact quasi-Newton methods for solving nonlinear systems
(Kluwer Academic PublDordrechtHolanda, 2003)
On the convergence of quasi-Newton methods for nonsmooth problems
(Marcel Dekker IncNew York, 1995)