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Local Convergence of the Gauss-Newton Method for Infective-Overdetermined Systems
We present, under a weak majorant condition, a local convergence analysis for the Gauss-Newton method for injective-overdetermined systems of equations in a Hilbert space setting. Our results provide under the same information ...
Extending the applicability of the local and semilocal convergence of Newton's method
We present a local as well a semilocal convergence analysis for Newton's method in a Banach space setting. Using the same Lipschitz constants as in earlier studies, we extend the applicability of Newton's method as follows: ...
Local Convergence for an Improved Jarratt-type Method in Banach Space
We present a local convergence analysis for an improved Jarratt-type methods of order at least five to approximate a solution of a nonlinear equation in a Banach space setting. The convergence ball and error estimates are ...
On the convergence of quasi-Newton methods for nonsmooth problems
(Marcel Dekker IncNew York, 1995)
Local Convergence and the Dynamics of a Two-Step Newton-Like Method
We present the local convergence analysis and the study of the dynamics of a two-step Newton-like method in order to approximate a locally unique solution of multiplicity one of a nonlinear equation.
New improved convergence analysis for Newton-like methods with applications
We present a new semilocal convergence analysis for Newton-like 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 ...
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 ...
Improved semilocal convergence analysis in Banach space with applications to chemistry
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 ...
Solving nonlinear systems of equations with simple constraints
(Soc Brasileira Matematica Aplicada & ComputacionalSao Carlos SpBrasil, 1997)
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 ...