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SUMT (Revisited)

Author

Listed:
  • Stephen G. Nash

    (George Mason University, Fairfax, Virginia)

Abstract

Fiacco and McCormick's 1968 book is a classic. It arose out of the authors' activities at the Research Analysis Corporation, and as such it is the record of an ambitious and productive collaboration. But it is more than that. The topics they studied and the situations they encountered are representative of the experiences of other researchers in the 1960s. At a deeper level, Fiacco and McCormick's book illustrates the influence of two great traditions of research: one based on linear programming, and the other based on the calculus of variations. The work of Fiacco and McCormick remains influential, as do the influences of these two traditions. An understanding of these influences illuminates not only the history of nonlinear programming, but also its present and future.

Suggested Citation

  • Stephen G. Nash, 1998. "SUMT (Revisited)," Operations Research, INFORMS, vol. 46(6), pages 763-775, December.
    • Handle: RePEc:inm:oropre:v:46:y:1998:i:6:p:763-775
    DOI: 10.1287/opre.46.6.763
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    References listed on IDEAS

    as
    1. Stephen G. Nash & Ariela Sofer, 1993. "A Barrier Method for Large-Scale Constrained Optimization," INFORMS Journal on Computing, INFORMS, vol. 5(1), pages 40-53, February.
    2. Charles W. Carroll, 1961. "The Created Response Surface Technique for Optimizing Nonlinear, Restrained Systems," Operations Research, INFORMS, vol. 9(2), pages 169-184, April.
    3. Anthony V. Fiacco & Garth P. McCormick, 1964. "Computational Algorithm for the Sequential Unconstrained Minimization Technique for Nonlinear Programming," Management Science, INFORMS, vol. 10(4), pages 601-617, July.
    4. Anthony V. Fiacco & Garth P. McCormick, 1966. "Extensions of SUMT for Nonlinear Programming: Equality Constraints and Extrapolation," Management Science, INFORMS, vol. 12(11), pages 816-828, July.
    Full references (including those not matched with items on IDEAS)

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