Technical Note—Conditions for Global Optimality in Nonlinear Programming

James E. Falk
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James E. Falk: The George Washington University, Washington, D.C.

Operations Research, 1973, vol. 21, issue 1, 337-340

Abstract: This note presents necessary and sufficient conditions for a point x * to be a global solution of the problem of maximizing f subject to x ∈ S . The conditions are equivalent to the divergence or convergence of an infinite sequence, each of whose terms involves the integral of a power of f taken over S . A useful corollary is derived that characterizes the sequence as one that is eventually monotone increasing if and only if x * is not a global solution. A small example illustrates these results.

Date: 1973
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