An Inexact Newton-like conditional gradient method for constrained nonlinear systems

M. L. N. Goncalves; F. R. Oliveira

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arXiv · 1705.07684

An Inexact Newton-like conditional gradient method for constrained nonlinear systems

M. L. N. Goncalves·F. R. Oliveira

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Abstract

In this paper, we propose an inexact Newton-like conditional gradient method for solving constrained systems of nonlinear equations. The local convergence of the new method as well as results on its rate are established by using a general majorant condition. Two applications of such condition are provided: one is for functions whose the derivative satisfies Holder-like condition and the other is for functions that satisfies a Smale condition, which includes a substantial class of analytic functions. Some preliminaries numerical experiments illustrating the applicability of the proposed method for medium and large problems are also presented.

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M. L. N. Goncalves, F. R. Oliveira. 2017-05-22. An Inexact Newton-like conditional gradient method for constrained nonlinear systems. https://arxiv.org/abs/1705.07684

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