English, Article, Journal or magazine article edition: Mollified derivatives and second-order optimality conditions Davide La Torre; Giovanni P. Crespi; Matteo Rocca

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Bookmark: http://trove.nla.gov.au/version/58597
Physical Description
  • preprint
Language
  • English

Edition details

Title
  • Mollified derivatives and second-order optimality conditions
Author
  • Davide La Torre
  • Giovanni P. Crespi
  • Matteo Rocca
Physical Description
  • preprint
Notes
  • The class of strongly semicontinuous functions is considered. For these functionsthe notion of mollified derivatives, introduced by Ermoliev, Norkin andWets [8], is extended to the second order. By means of a generalized Taylor'sformula, second order necessary and sufficient conditions are proved forboth unconstrained and constrained optimization. Finally a characterization ofconvex functions is given.
  • Smooth approximations, Nonsmooth optimization, Strong semicontinuity
  • RePEc:mil:wpdepa:2003-10
Language
  • English
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