Volume 24, Issue 4
On the Convergence of an Approximate Proximal Method for DC Functions

A. Moudafi & P.-E. Maing

DOI:

J. Comp. Math., 24 (2006), pp. 475-480

Published online: 2006-08

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  • 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.

  • Keywords

DC minimization Critical points Subdifferentials Proximal mappings

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@Article{JCM-24-475, author = {}, title = {On the Convergence of an Approximate Proximal Method for DC Functions}, journal = {Journal of Computational Mathematics}, year = {2006}, volume = {24}, number = {4}, pages = {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. }, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8768.html} }
TY - JOUR T1 - On the Convergence of an Approximate Proximal Method for DC Functions JO - Journal of Computational Mathematics VL - 4 SP - 475 EP - 480 PY - 2006 DA - 2006/08 SN - 24 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8768.html KW - DC minimization KW - Critical points KW - Subdifferentials KW - Proximal mappings AB - 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.
A. Moudafi & P.-E. Maing. (1970). On the Convergence of an Approximate Proximal Method for DC Functions. Journal of Computational Mathematics. 24 (4). 475-480. doi:
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