• DocumentCode
    2110154
  • Title

    Taylor expansions and second-order derivatives for non-smooth functions

  • Author

    Chan, Wei Liat ; Huang, L.R. ; Ng, K.F.

  • Author_Institution
    Chinese Univ. of Hong Kong, Shatin, Hong Kong
  • fYear
    1993
  • fDate
    15-17 Dec 1993
  • Firstpage
    2885
  • Abstract
    Cominetti and Correa (1990) a definition of second-order directional derivatives. Based on their work the authors represent a second-order directional derivative in the form of the upper limit of the rates of changes of the Dini directional derivatives. This representation enables the authors to establish second-order Taylor expansions for non-smooth functions
  • Keywords
    differentiation; optimisation; Dini directional derivatives; Taylor expansions; rates of changes; second-order derivatives; second-order directional derivatives; upper limit; Control theory; TV; Topology;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1993., Proceedings of the 32nd IEEE Conference on
  • Conference_Location
    San Antonio, TX
  • Print_ISBN
    0-7803-1298-8
  • Type

    conf

  • DOI
    10.1109/CDC.1993.325725
  • Filename
    325725
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2110154