Please use this identifier to cite or link to this item: https://doi.org/10.1081/NFA-200042235
Title: On second-order properties of the moreau-yosida regularization for constrained nonsmooth convex programs
Authors: Meng, F. 
Zhao, G. 
Keywords: Moreau-Yosida regularization
Piecewise Ck functions
Semismooth functions
Issue Date: 2004
Citation: Meng, F., Zhao, G. (2004). On second-order properties of the moreau-yosida regularization for constrained nonsmooth convex programs. Numerical Functional Analysis and Optimization 25 (5-6) : 515-529. ScholarBank@NUS Repository. https://doi.org/10.1081/NFA-200042235
Abstract: In this paper, we attempt to investigate a class of constrained nonsmooth convex optimization problems, that is, piecewise C2 convex objectives with smooth convex inequality constraints. By using the Moreau-Yosida regularization, we convert these problems into unconstrained smooth convex programs. Then, we investigate the second-order properties of the Moreau-Yosida regularization η. By introducing the (GAIPCQ) qualification, we show that the gradient of the regularized function n is piecewise smooth, thereby, semismooth.
Source Title: Numerical Functional Analysis and Optimization
URI: http://scholarbank.nus.edu.sg/handle/10635/103752
ISSN: 01630563
DOI: 10.1081/NFA-200042235
Appears in Collections:Staff Publications

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