On the Convergence of an Approximate Proximal Method for DC Functions

On the Convergence of an Approximate Proximal Method for DC Functions

Year:    2006

Author:    A. Moudaf, P-E. Maingé

Journal of Computational Mathematics, Vol. 24 (2006), Iss. 4 : pp. 475–480

Abstract

In this paper we prove the convergence of the approximate proximal method for DC functions proposed by Sun et al [6]. Our analysis also permits to treat the exact method. We then propose an interesting result in the case where the second component of the DC function is differentiable and provide some computational experiences which proved the efficiency of our method.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2006-JCM-8768

Journal of Computational Mathematics, Vol. 24 (2006), Iss. 4 : pp. 475–480

Published online:    2006-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    6

Keywords:    DC minimization Critical points Subdifferentials Proximal mappings.

Author Details

A. Moudaf

P-E. Maingé