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ORLICZ - PETTIS THEOREMS FOR MULTIPLIER CONVERGENT OPERATOR VALUED SERIES
(Universidad Católica del Norte, Departamento de Matemáticas, 2004)
Extending the convergence domain of Newton's method for twice Frechet differentiable operators
We present a semi-local convergence analysis of Newton's method in order to approximate a locally unique solution of a nonlinear equation in a Banach space setting. Using center-Lipschitz condition on the first and the ...
The majorization method in the Kantorovich theory
The goal in this chapter is to present some improvements related to the convergence of Newton's and modified Newton's method by means of introducing and using the center Lipschitz condition. Using both conditions we obtain ...
STRONG TOPOLOGIES FOR MULTIPLIER CONVERGENT SERIES
(Universidad Católica del Norte, Departamento de Matemáticas, 2006)
On the convergence of a Damped Secant method with modified right-hand side vector
We present a convergence analysis for a Damped Secant 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 case ...
A new technique for studying the convergence of Newton’s solver with real life applications
The convergence domain for both the local and semilocal case of Newton’s method for Banach space valued operators is small in general. There is a plethora of articles that have extended the convergence criterion due to ...
Improving the domain of parameters for Newton's method with applications
We present a new technique to improve the convergence domain for Newton’s method both in the semilocal and local case. It turns out that with the new technique the sufficient convergence conditions for Newton’s method are ...
Convergence from the periphery: developments in Peruvian media industry and the effects on the production markets
(Pontificia Universidad Católica del Perú. Departamento Académico de ComunicacionesPE, 2016)
Does trade imply convergence?: analyzing the effect of NAFTA on the local convergence in Mexico
(Centro de Investigación y Docencia Económicas, División de Economía, 2016)
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 ...