English, Article, Journal or magazine article edition: C1,1 functions and optimality conditions Davide La Torre; Matteo Rocca

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Bookmark: http://trove.nla.gov.au/version/58683
Physical Description
  • preprint
Language
  • English

Edition details

Title
  • C1,1 functions and optimality conditions
Author
  • Davide La Torre
  • Matteo Rocca
Physical Description
  • preprint
Notes
  • In this work we provide a characterization of C1,1 functions on Rn (that is,diferentiable with locally Lipschitz partial derivatives) by means of second directional divided differences. In particular, we prove that the class of C1,1 functions is equivalent to the class of functions with bounded second directional divided diferences. From this result we deduce a Taylor's formula forthis class of functions and some optimality conditions. The characterizations and the optimality conditions proved by Riemann derivatives can be useful to write minimization algorithms; in fact, only the values of the function are required to compute second order conditions.
  • Divided dierences, Riemann derivatives, C1,1 functions, nonlinear
  • RePEc:mil:wpdepa:2002-13
Language
  • English
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