Local convergence of the proximal point method for a special class of nonconvex functions on Hadamard manifolds |
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Authors: | GC Bento OP Ferreira |
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Institution: | a IME, Universidade Federal de Goiás, Goiânia, GO 74001-970, Brazil b COPPE-Sistemas, Universidade Federal do Rio de Janeiro, Rio de Janeiro, RJ 21945-970, Brazil |
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Abstract: | Local convergence analysis of the proximal point method for a special class of nonconvex functions on Hadamard manifold is presented in this paper. The well definedness of the sequence generated by the proximal point method is guaranteed. Moreover, it is proved that each cluster point of this sequence satisfies the necessary optimality conditions and, under additional assumptions, its convergence for a minimizer is obtained. |
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Keywords: | 49M30 90C26 |
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