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Applicable Analysis
An International Journal
Volume 6, 1976 - Issue 1
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Original Articles

On a classification scheme for geometric programming and complementarity theorems†Footnote†

W. Gochet Center for Operations Research and Econometrics, Heverlee, 3030, Belgium
,
K.O. Kortanek Carnegie-Mellon University, Pittsburgh, Pennsylvania, 15213, U.S.A.
&
Y. Smeers Center for Operations Research and Econometrics, Heverlee, 3030, Belgium
Pages 47-59 | Published online: 02 May 2007

References

  • Avriel , M. and Williams , A.C. 1970 . On the primal and dual constraint sets in geometric programming . J. of Math. Anal, and Appi. , 3 : 684 – 688 .
  • Ben-Israel , A. , Charnes , A. and Kortanek , K.O. 1969 . Duality and asymptotic solvability over cones . Bull. AMS. , 74 : 318 – 324 .
  • Ben-Israel , A. , Charnes , A. and Kortanek , K.O. 1969 . Erratum to duality and asymptotic solvability over convex cones . Bull. AMS. , 76 : 426 – 324 .
  • Charnes , A. , Cooper , W.W. and Kortanek , K.O. 1971 . Semi-infinite programming differentiability and geometric programming, Part I: with examples and applications in economics and management science, R. S. Varma Memorial Volume . J. Math. Scl. , 6 : 19 – 40 .
  • Charnes , a. , Cooper , W.W. and Kortanek , K.O. 1969 . Semi-infinite programming, differentiability and geometric programming: Part II . Aplikace Matematiky , 14 : 15 – 22 .
  • Duffin , R.J. 1970 . Linearizing geometric programs . SI AM Review , 12 : 211 – 227 .
  • Duffin , R.J. 1973 . Convex analysis treated by linear programming . Mathematical Programming , 4 : 125 – 143 .
  • Duffin , R.J. and Peterson , E.L. 1966 . Duality theory for geometric programming . SI AMJ. Appi Math. , 14 : 1307 – 1349 .
  • Duffin , R.J. , Peterson , E.L. and Zener , C. 1967 . Geometric Programming , New York : John Wiley .
  • Gochet , W. and Smeers , Y. 1975 . Constraint sets of geometric programs characterized by auxiliary problems . SI AM J. Appi Math. , 29 : 708 – 718 .
  • Kortanek , K.O. 1974 . Classifying convex extremum problems over linear topologies having separation properties . J. Math. Anal. Appi. , 46 : 725 – 755 .
  • Kortanek , K.O. , Rom , W.O. and Soyster , A.L. 1973 . On classification schemes for solutions sets of chemical equilibrium problems . Operations Research , 21 : 240 – 246 .
  • Peterson , E.L. 1970 . Symmetric duality for generalized unconstrained geometric programming . SI AM J. AppL Math. , 19 : 487 – 526 .
  • Peterson , E.L. 1972 . Private communications
  • Eckhardt , U. 1975 . Theorems on the dimension of convex sets . Linear Algebra and Its Applications , 12 : 63 – 76 .
  • Simmonnard , M. 1966 . Linear Programming , Prentice-Hall. Inc .

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