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Original Articles

The information approach to multiextremal optimization problems

Pages 65-82 | Received 30 Aug 1985, Published online: 04 Apr 2007

References

  • Strongin , R. G. 1978 . Numerical Methods in Multiextremal Problems , Moscow, , Russian : Nauka .
  • Strongin , R.G. 1979 . “ Deriving computing schemes for multiextremal problems ” . In The Contemporary State of the Operations Research , Moscow, , Russian : Nauka .
  • Neimark , Yu.I. and Strongin , R.G. 1966 . The information approach to the problem of search for the extrema of functions . Izvestia USSR Acad , 1 : 17 – 26 . Russian
  • Sucharev , A. G. 1975 . Optimal search for the extremum , Russian : Moscow Univ. .
  • Mockus , J.B. 1972 . On Bayesian methods for seeking the extremum . Automation and Computers , 3 : 53 – 62 . Russian
  • Kushner , H. 1964 . A new method of locating the maximum point of an arbitrary multipeak curve in the presence of noise . Trans. ASME , 86.1 : 97 – 106 .
  • Strongin , R.G. 1972 . Probabilistic approach to the problem of searching for a root of an equation . Journal of Computational Mathematics and Mathematical Physics , 12 : 3 – 13 . Russian
  • Vasotskaya , I.N. and Strongin , R.G. 1983 . A method for solving nonlinear equations making use of a priori probability estimates for the roots . Journal of Computational Mathematics and Mathematical Physics , 23 : 3 – 12 . Russian
  • Strongin , R.G. 1984 . “ Numerical methods for multiextremal nonlinear programming problems with nonconvex constraints ” . In Lecture Notes in Economics and Mathematical Systems , Edited by: Demyanov , V.F. and Pallaschke , D. Vol. 255 , 278 – 282 . Berlin : Springer-Verlag .
  • Markin , D.L. and Strongin , R.G. 1987 . Method for solving multiextremal problems with nonconvex constraints making use of a priori information on extremum estimates . Journal of Computational Mathematics and Mathematical Physics , 27 : 52 – 62 . Russian

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