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Local Convergence of the Proximal Point Method for a Special Class of Nonconvex Functions on Hadamard Manifolds

Local convergence analysis of the proximal point method for special class of nonconvex function on Hadamard manifold is presented in this paper. The well definedness of the sequence generated by the proximal point method is guaranteed. Moreover, 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.

preprint2010arXivOpen access
G. C. BentoO. P. FerreiraP. R. Oliveira
math.OC
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Open access3 authors1 topic
Imported metadata coverageMissing code, dataset, citation and institution fields are tracked without dominating the paper.Details
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G. C. BentoO. P. FerreiraP. R. Oliveira

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