• DocumentCode
    3196118
  • Title

    Newton´s method for optimization with probabilistic estimation

  • Author

    Lockman, D. ; Mukai, H.

  • Author_Institution
    Dept. of Syst. Sci. & Math., Washington Univ., St. Louis, MO, USA
  • Volume
    4
  • fYear
    1996
  • fDate
    11-13 Dec 1996
  • Firstpage
    3825
  • Abstract
    Optimization problems are sometimes characterized by an objective function that cannot be directly evaluated but must be estimated, for example by sampling or Monte Carlo simulation. We propose a stabilized Newton´s method aimed at solving a certain class of such problems. Convergence of the proposed algorithm to stationary points is shown, under suitable assumptions
  • Keywords
    Newton method; convergence of numerical methods; estimation theory; optimisation; probability; convergence; objective function; probabilistic estimation; stabilized Newton method; stochastic optimization; Convergence; Costs; H infinity control; Newton method; Optimal control; Optimization methods; Sampling methods; Stochastic processes; Uncertainty;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1996., Proceedings of the 35th IEEE Conference on
  • Conference_Location
    Kobe
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-3590-2
  • Type

    conf

  • DOI
    10.1109/CDC.1996.577248
  • Filename
    577248