• DocumentCode
    169613
  • Title

    A New Primal-Dual Interior-Point Algorithm for Semidefinite Optimization

  • Author

    Lee, Yong-hoon ; Jin-Hee Jin ; Gyeong-Mi Cho

  • Author_Institution
    Dept. of Math., Pusan Nat. Univ., Busan, South Korea
  • fYear
    2014
  • fDate
    6-9 May 2014
  • Firstpage
    1
  • Lastpage
    4
  • Abstract
    We propose a new primal-dual interior-point algorithm for semidefinite optimization(SDO) based on an eligible barrier function. New search directions and proximity measures are proposed based on the barrier function. We show that the algorithm has O(√n log(n/ε)) and O(√n(log n)log(n/ε)) complexity results for small- and large-update methods, respectively. These are the best known complexity results for such methods.
  • Keywords
    computational complexity; optimisation; search problems; SDO; complexity results; eligible barrier function; large-update methods; primal-dual interior-point algorithm; proximity measures; search directions; semidefinite optimization; small-update methods; Complexity theory; Educational institutions; Kernel; Optimization; Symmetric matrices; Tin;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Science and Applications (ICISA), 2014 International Conference on
  • Conference_Location
    Seoul
  • Print_ISBN
    978-1-4799-4443-9
  • Type

    conf

  • DOI
    10.1109/ICISA.2014.6847334
  • Filename
    6847334