Second-order mollified derivatives and optimization

被引：0

作者：

Giovanni P. Crespi

Davide La Torre

Matteo Rocca

机构：

[1] Facoltà di Economia, Université de la Vallée d'Aosta, 11100 Aoste, 2A, Chemin des Capucins

[2] Dipartimento di Economia Politica e Aziendale, Università di Milano, 20122 Milano

[3] Dipartimento di Economia, Università dell'Insubria, 21100 Varese

来源：

Rendiconti del Circolo Matematico di Palermo | 2003年 / 52卷 / 2期

关键词：

Mollifiers; Optimization; Smooth approximations; Strong semicontinuity;

D O I：

10.1007/BF02872232

中图分类号：

学科分类号：

摘要：

The class of strongly semicontinuous functions is considered. For these functions the notion of mollified derivatives, introduced by Ermoliev, Norkin and Wets, is extended to the second order. By means of a generalized Taylor's formula, second order necessary conditions are proved for both unconstrained and constrained optimization. © 2003 Springer.

引用

页码：251 / 262

页数：11

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