A Newton conditional gradient method for constrained nonlinear systems

@article{Gonalves2017ANC,
  title={A Newton conditional gradient method for constrained nonlinear systems},
  author={Max L. N. Gonçalves and Jefferson G. Melo},
  journal={J. Computational Applied Mathematics},
  year={2017},
  volume={311},
  pages={473-483}
}
In this paper, we consider the problem of solving constrained systems of nonlinear equations. We propose an algorithm based on a combination of Newton and conditional gradient methods, and establish its local convergence analysis. Our analysis is set up by using a majorant condition technique, allowing us to prove, in a unified way, convergence results for two large families of nonlinear functions. The first one includes functions whose derivative satisfies a Hölder-like condition, and the… CONTINUE READING

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