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3 papers
A version of the inexact Levenberg-Marquardt method for constrained nonsmooth equations
Fabiana R. de Oliveira, Fabrícia R. Oliveira
We herein propose a variant of the projected inexact Levenberg--Marquardt method (ILMM) for solving constrained nonsmooth equations. Since the orthogonal projection onto the feasib…
A Global Version of the Newton Method for Finding a Singularity of the Nonsmooth Vector Fields on Riemannian Manifolds
Fabiana R. de Oliveira, Fabrícia R. Oliveira
This paper is concerned with an algorithm for finding a singularity of the nonsmooth vector fields. Firstly, we discuss the main results of the Newton method presented in [1] for s…
Levenberg-Marquardt methods with inexact projections for constrained nonlinear systems
Douglas S. Gonçalves, Max L. N. Gonçalves, Fabrícia R. Oliveira
In this paper, we first propose a new Levenberg-Marquardt method for solving constrained (and not necessarily square) nonlinear systems. Basically, the method combines the unconstr…