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On the convergence of a damped Newton-like method with modified right hand side vector
We present a convergence analysis for a damped Newton like method with modified right-hand side vector in order to approximate a locally unique solution of a nonlinear equation in a Banach spaces setting. In the special ...
On the Newton method for solving fuzzy optimization problems
(Elsevier B.V., 2015)
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 ...
Uma nova ciência: uma apresentação da ciência newtoniana
(Universidade Federal de São Paulo (UNIFESP), 2014-07)
A presente dissertação versa sobre como podemos identificar os Principia, escrito
por Newton na sua versão final em 1726, como uma obra estritamente matemática e como
podemos identificar a Óptica, 1703, como um livro que ...
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 ...
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 ...
Improved local convergence analysis of the Gauss-Newton method under a majorant condition
We present a local convergence analysis of Gauss-Newton method for solving nonlinear least square problems. Using more precise majorant conditions than in earlier studies such as Chen (Comput Optim Appl 40:97-118, 2008), ...
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 ...
Inexact-Newton methods for semismooth systems of equations with block-angular structure
(Elsevier Science BvAmsterdamHolanda, 1999)
Extending the domain of starting points for Newton's method under conditions on the second derivative
In this paper, we propose a center Lipschitz condition for the second Frechet derivative together with the use of restricted domains in order to improve the domain of starting points for Newton's method. In addition, we ...