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Direct Search Generalized Simplex Algorithm for Optimizing Non-linear Functions

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(1)Direct Search Generalized Simplex Algorithm for Optimizing Non-linear Functions Hassan Shekarforoush, Marc Berthod, Josiane Zerubia. To cite this version: Hassan Shekarforoush, Marc Berthod, Josiane Zerubia. Direct Search Generalized Simplex Algorithm for Optimizing Non-linear Functions. RR-2535, INRIA. 1995. �inria-00074143�. HAL Id: inria-00074143 https://hal.inria.fr/inria-00074143 Submitted on 24 May 2006. HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers.. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés..

(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. Direct Search Generalized Simplex Algorithm for Optimizing Non-linear Functions Hassan Shekarforoush, Marc Berthod, Josiane Zerubia. N˚ 2535 Avril 1995. PROGRAMME 4. N 0249-6399. apport de recherche.

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(70). o’Ž . ¨ fˆ¬b‡zvfmGˆwf £ `9‘x‘ž` ¨ nx}way`9}tfmG`. ]   -    -,+!!'- : o’¹  ¨ ˆwf_Gf  + +  

(71)

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(73) 

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(81) nž}  u ¨ fˆlbzvf¯brw}wnqpsrtf*nž}CmGf_oz:b‘   £ `9_ ¨ ˆwnq†‰ˆ  % o ’9-,+   ,+ : 7 %   +  o ’“  \ rwm {|nž}l†]f     u0% !; : !#  TG ’ -,+   ,+ : 7< !  +   :º  2 _*. T,o ’ -,+  + (;7< ]5 T! !#T  :B"  +   L’ h` ¨ u8‘xfm. T .

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(88) 

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(97) 

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(107)   $ "X!"! $

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(168) Unite´ de recherche INRIA Lorraine, Technopoˆle de Nancy-Brabois, Campus scientifique, 615 rue du Jardin Botanique, BP 101, 54600 VILLERS LE`S NANCY Unite´ de recherche INRIA Rennes, Irisa, Campus universitaire de Beaulieu, 35042 RENNES Cedex Unite´ de recherche INRIA Rhoˆne-Alpes, 46 avenue Fe´lix Viallet, 38031 GRENOBLE Cedex 1 Unite´ de recherche INRIA Rocquencourt, Domaine de Voluceau, Rocquencourt, BP 105, 78153 LE CHESNAY Cedex Unite´ de recherche INRIA Sophia-Antipolis, 2004 route des Lucioles, BP 93, 06902 SOPHIA-ANTIPOLIS Cedex. E´diteur INRIA, Domaine de Voluceau, Rocquencourt, BP 105, 78153 LE CHESNAY Cedex (France) ISSN 0249-6399.

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