The Moreau-Yosida Approximation of a Piecewise C^2 Convex Function

The Moreau-Yosida Approximation of a Piecewise C^2 Convex Function

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摘要 The gradient of the Moreau\|Yosida approximation to a piecewise C\+2 convex function is studied in this paper. The piecewise smoothness of the gradient function is obtained under a constraint qulification of the constant rank. The gradient of the Moreau\|Yosida approximation to a piecewise C\+2 convex function is studied in this paper. The piecewise smoothness of the gradient function is obtained under a constraint qulification of the constant rank.

作者 MENG Fan\|wen\+1\ \ HAO Ying\+2 1.Dept. of Appl. Math., Dalian Univ. of Tech. Dalian, Liaoning 116024 2.Dept. of Sci. & Arts, Dalian Railway Inst., Dalian, Liaoning 116028

出处《Systems Science and Systems Engineering》 CSCD 1999年第3期283-289,共7页 系统科学与系统工程学报（英文版）

关键词 nonsmooth optimization piecewise C\+2 function Moreau\|Yosida approximation nonsmooth optimization piecewise C\+2 function Moreau\|Yosida approximation

分类号 N94 [自然科学总论—系统科学]

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Systems Science and Systems Engineering

1999年第3期

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The Moreau-Yosida Approximation of a Piecewise C^2 Convex Function

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