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COMPARING ALGORITHMS FOR SOLVING SPARSE NONLINEAR-SYSTEMS OF EQUATIONS
(Siam PublicationsPhiladelphia, 1992)
Weaker conditions for inexact mutitpoint Newton-like methods
In this paper we study the problem of analyzing the convergence both local and semilocal of inexact Newton-like methods for approximating the solution of an equation in which there exists nondifferentiability. We will ...
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.
On the global convergence of Newton-like methods for nonsmooth systems
(Marcel Dekker IncNew YorkEUA, 1997)
Ball convergence of a sixth-order Newton-like method based on means under weak conditions
We study the local convergence of a Newton-like method of convergence order six to approximate a locally unique solution of a nonlinear equation. Earlier studies show convergence under hypotheses on the seventh derivative ...
Optimizing the applicability of a theorem by F. Potra for Newton-like methods
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 ...
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 ...
New theoretical results on recursive quadratic programming algorithms
(Springer/plenum PublishersNew YorkEUA, 1998)
Local convergence of a relaxed two-step Newton like method with applications
We present a local convergence analysis for a relaxed two-step Newton-like method. We use this method to approximate a solution of a nonlinear equation in a Banach space setting. Hypotheses on the first Fr,chet derivative ...
Enlarging the convergence domain of secant-like methods for equations
We present two new semilocal convergence analyses for secant-like 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 ...