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Précis--Sufficiency Conditions for Constrained Optima

Author

Listed:
  • C. C. Huang

    (University of Missouri, Rolla)

  • L. G. Erickson

    (University of Missouri, Rolla)

  • R. M. Wellek

    (Kansas State University, Manhattan)

Abstract

The sufficiency conditions for constrained optimization problems are derived through an alternate approach and result in a simpler form than one latest work [Schechter, R. S., G. S. G. Beveridge. 1966. Sufficiency conditions in constrained variations. Indus. Eng. Chemistry Fundamentals 5 571-573.]. The relations can be used with equality and/or inequality constraints. The sufficiency conditions of Phipps [Phipps, C. G. 1952. Maxima and minima under restraint. Amer. Math. Monthly 59 230-235.] which have been quoted for years in the literature were corrected in this work.

Suggested Citation

  • C. C. Huang & L. G. Erickson & R. M. Wellek, 1970. "Précis--Sufficiency Conditions for Constrained Optima," Management Science, INFORMS, vol. 16(11), pages 762-763, July.
    • Handle: RePEc:inm:ormnsc:v:16:y:1970:i:11:p:762-763
    DOI: 10.1287/mnsc.16.11.762
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