Précis--Sufficiency Conditions for Constrained Optima

C. C. Huang, L. G. Erickson and R. M. Wellek
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C. C. Huang: University of Missouri, Rolla
L. G. Erickson: University of Missouri, Rolla
R. M. Wellek: Kansas State University, Manhattan

Management Science, 1970, vol. 16, issue 11, 762-763

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.

Date: 1970
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