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

A. Moudaf & P-E. Maingé

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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COPYRIGHT: © Global Science Press

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@Article{JCM-24-475, author = {Moudaf , A. and Maingé , P-E.}, 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 AU - Moudaf , A. AU - Maingé , P-E. 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, Critical points, Subdifferentials, 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.

Moudaf , A. and Maingé , P-E.. (2006). On the Convergence of an Approximate Proximal Method for DC Functions. Journal of Computational Mathematics. 24 (4). 475-480. doi:
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