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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)
Expanding the Applicability of a Third Order Newton-Type Method Free of Bilinear Operators
This paper is devoted to the semilocal convergence, using centered hypotheses, of a third order Newton-type method in a Banach space setting. The method is free of bilinear operators and then interesting for the solution ...
COMPARING ALGORITHMS FOR SOLVING SPARSE NONLINEAR-SYSTEMS OF EQUATIONS
(Siam PublicationsPhiladelphia, 1992)
Local convergence of exact and inexact newton’s methods for subanalytic variational inclusionsLocal convergence of exact and inexact Newton's methods for subanalytic
(Universidad de Costa Rica, Centro de Investigación en Matemática Pura y Aplicada (CIMPA), 2015)
On the election of the damped parameter of a two-step relaxed Newton-type method
In this paper, we are interested to justified two typical hypotheses that appear in the convergence analysis, |λ|≤2|λ|≤2 and z0z0 sufficient close to z∗z∗ . In order to proof these ideas, the dynamics of a damped ...
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 ...
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 ...
Local convergence of exact and inexact newton’s methods for subanalytic variational inclusionsConvergencia local de los métodos de newton exacto e inexacto para inclusiones variacionales subanalíticas
(2015-01-01)
This paper deals with the study of an iterative method for solving a variational inclusion of the form 0 ∈ f (x)+F (x) where f is a locally Lipschitz subanalytic function and F is a set-valued map from Rn to the closed ...
Local convergence of exact and inexact newton’s methods for subanalytic variational inclusionsConvergencia local de los métodos de newton exacto e inexacto para inclusiones variacionales subanalíticas
(2015-01-01)
This paper deals with the study of an iterative method for solving a variational inclusion of the form 0 ∈ f (x)+F (x) where f is a locally Lipschitz subanalytic function and F is a set-valued map from Rn to the closed ...
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 ...