• DocumentCode
    294913
  • Title

    Convergence analysis of an interior point method in convex programming, regular constraint case

  • Author

    Lin, Chin-Yee ; Fan, Michael K H

  • Author_Institution
    Sch. of Electr. & Comput. Eng., Georgia Inst. of Technol., Atlanta, GA, USA
  • Volume
    2
  • fYear
    1995
  • fDate
    13-15 Dec 1995
  • Firstpage
    1103
  • Abstract
    We study the convergence properties of a previously proposed algorithm in the context of solving a class of smooth nonlinear convex optimization problems. With some mild assumptions, it is shown that the algorithm has global convergence with guaranteed accuracy upon termination. Further, an upper bound for the local rate of convergence is derived. It rigorously justifies the efficiency of the algorithm in spite of the fact that the bound is in general conservative
  • Keywords
    constraint theory; convergence of numerical methods; convex programming; nonlinear programming; convergence analysis; convex programming; interior point method; nonlinear convex optimization; upper bound; Algorithm design and analysis; Computer aided software engineering; Constraint optimization; Convergence; Linear matrix inequalities; Optimization methods; Upper bound;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
  • Conference_Location
    New Orleans, LA
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-2685-7
  • Type

    conf

  • DOI
    10.1109/CDC.1995.480238
  • Filename
    480238