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Some remarks on condensation methods for geometric programs

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Abstract

The purpose of this paper is to present some points of clarification of a recently presented algorithm for geometric programs [7]. While presenting the clarification, we are able to identify the behavior of condensation type algorithms for generalized geometric programs.

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References

  1. R.A. Abrams, “Consistency, superconsistency, and dual degeneracy in posynomial geometric programming”,Operations Research 24 (1976) 325–335.

    Google Scholar 

  2. J.J. Dinkel, W.E. Elliott and G.A. Kochenberger, “Computational aspects of cutting-plane algorithms for geometric programming problems”,Mathematical Programming 13 (1977) 200–220.

    Google Scholar 

  3. R.J. Duffin, “Linearizing geometric programs”,SIAM Review 12 (1970) 211–227.

    Google Scholar 

  4. R.J. Duffin and E.L. Peterson, “Geometric programming with signomials”,Journal of Optimization Theory and Applications 11 (1973) 3–35.

    Google Scholar 

  5. R.J. Duffin, E.L. Peterson and C. Zener,Geometric programming (Wiley, New York, 1967).

    Google Scholar 

  6. A.J. Fiacco and G.P. McCormick,Nonlinear programming: sequential unconstrained minimization techniques (Wiley, New York, 1968).

    Google Scholar 

  7. M.J. Rijckaert and X.M. Martens, “A condensation method for generalized geometric programming”,Mathematical Programming 11 (1976) 89–93.

    Google Scholar 

  8. W.I. Zangwill,Nonlinear programming (Prentice-Hall, Englewood Cliffs, NJ, 1969).

    Google Scholar 

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Dinkel, J.J., Kochenberger, G.A. Some remarks on condensation methods for geometric programs. Mathematical Programming 17, 109–113 (1979). https://doi.org/10.1007/BF01588231

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  • DOI: https://doi.org/10.1007/BF01588231

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