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|Title:||On second-order properties of the moreau-yosida regularization for constrained nonsmooth convex programs||Authors:||Meng, F.
Piecewise Ck 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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