• DocumentCode
    3017286
  • Title

    Support Functionals of Convex Function

  • Author

    Huang, Jinqiu ; Chen, Shaobai

  • Author_Institution
    Dept. of Electron. Sci., Huizhou Univ., Huizhou, China
  • fYear
    2010
  • fDate
    25-27 June 2010
  • Firstpage
    2197
  • Lastpage
    2200
  • Abstract
    This paper proves an existence theorem of support functional for the convex function in the linear space and establishes the numerical ranges of all support functionals on a support point. It presents a necessary and sufficient condition that the support functional on a support point is unique.
  • Keywords
    convex programming; functional analysis; set theory; convex function; linear space; necessary condition; sufficient condition; support functional theorem; Algebra; Control engineering; Convex functions; Optimization; Presses; Sufficient conditions; System-on-a-chip; convex function; numerical range; support functional;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Electrical and Control Engineering (ICECE), 2010 International Conference on
  • Conference_Location
    Wuhan
  • Print_ISBN
    978-1-4244-6880-5
  • Type

    conf

  • DOI
    10.1109/iCECE.2010.541
  • Filename
    5631792
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3017286