Journal of Mathematical Sciences

, Volume 70, Issue 1, pp 1572–1574 | Cite as

The method of geometric progression for finding a minimum of unimodal functions

  • A. U. Abdukhamidov
Applied Problems in Control Theory, Mathematical Statistics, and Mathematical Cybernetics


An asymptotically optimal method for finding a minimal point x* for a function f(x) ε C2, unimodal on an interval [ak,bk], is proposed. This method partitions the intervals δk = bk − ak, k = 1, 2, ..., and locates x* by means of a decreasing geometric progression.


Minimal Point Geometric Progression Unimodal Function 
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  1. 1.
    R. Gabasov and F. M. Kirillova, Optimization Methods [in Russian], Visheishaya Shkola, Minsk, 1981.Google Scholar

Copyright information

© Plenum Publishing Corporation 1994

Authors and Affiliations

  • A. U. Abdukhamidov
    • 1
  1. 1.Samarkand UniversitySamarkand

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