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Application of Newton's and Broyden's methods in linear programming
(Programa de Pós-Graduação em MatemáticaCentro de Ciências Exatas, 2022)
Globally convergent inexact quasi-Newton methods for solving nonlinear systems
(Kluwer Academic PublDordrechtHolanda, 2003)
Unified local convergence for newton's method and uniqueness of the solution of equations under generalized conditions in a Banach space
Under the hypotheses that a function and its Frechet derivative satisfy some generalized Newton-Mysovskii conditions, precise estimates on the radii of the convergence balls of Newton's method, and of the uniqueness ball ...
Robust convergence of Newton's method for cone inclusion problem
In this chapter, motivated by the idea of the restricted convergence domains, we present a convergence analysis of Newton's method for cone inclusion problems. The semilocal convergence analysis of Newton's method is also ...
Gauss-Newton method for convex optimization
The goal in this chapter is to present a finer convergence analysis of Gauss–Newton method than in earlier works in order to expand the solvability of convex composite optimizations problems. The convergence of Gauss–Newton ...
Multistep modified Newton-Hermitian and Skew-Hermitian Splitting method
Newton–Hermitian and Skew-Hermitian Splitting (MMN-HSS) method.
Extending the applicability of the local and semilocal convergence of Newton's method
We present a local as well a semilocal convergence analysis for Newton's method in a Banach space setting. Using the same Lipschitz constants as in earlier studies, we extend the applicability of Newton's method as follows: ...
On the Newton method for solving fuzzy optimization problems
(Elsevier B.V., 2015-08-01)
In this article we consider optimization problems where the objectives are fuzzy functions (fuzzy-valued functions). For this class of fuzzy optimization problems we discuss the Newton method to find a non-dominated solution. ...
Newton's Method
(Massachusetts Institute of Tecnology, 2016)