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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 ...
Una modificación del método de Newton en programación no lineal
(Universidad Nacional del CallaoPE, 2013)
Se estudia en este trabajo un problema de optimización sin la presencia de restricciones presentado por el autor [D.S.Sorensen. (1982)] el cual resuelve una variante del método de Newton cuya modificación se basa en el ...
Una modificación del método de Newton en programación no lineal
(Universidad Nacional del CallaoPE, 2013)
Se estudia en este trabajo un problema de optimización sin la presencia de restricciones presentado por el autor [D.S.Sorensen. (1982)] el cual resuelve una variante del método de Newton cuya modificación se basa en el ...
On the local and superlinear convergence of a Secant Modified Linear-Programming-Newton Method
(Springer/Plenum Publishers, 2019-03-15)
We present a superlinearly convergent method to solve a constrained system of nonlinear equations. The proposed procedure is an adaptation of the linear-programming-Newton method replacing the first-order information with ...
Convergence of Newton's method under Vertgeim conditions: new extensions using restricted convergence domains
We present new sufficient convergence conditions for the semilocal convergence of Newton’s method to a locally unique solution of a nonlinear equation in a Banach space. We use Hölder and center Hölder conditions, instead ...
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 ...
A Globally Convergent Method For Nonlinear Least-squares Problems Based On The Gauss-newton Model With Spectral Correction
(Univ Simon BolivarCaracas, 2016)
Ponto fixo de banach aplicado às funções implícitas e à informática.
(Universidade Federal do TocantinsAraguaínaCURSO::ARAGUAÍNA::PRESENCIAL::LICENCIATURA::MATEMÁTICAAraguaínaGraduação, 2023)
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 ...