A Characterization of Local Solutions Useful for Solving Reverse Convex Problems.

by Richard Hillestad

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A contribution to mathematical programming theory, describing a solution procedure for a class of nonconvex programs defined by constraints and objectives having convexity which is the reverse of that required for a convex problem. Theorems are presented to show that only a finite number of local solutions must be considered in searching for the global minimum. It is also shown that a global solution can be obtained by solving a finite number of convex subproblems under certain broad conditions. (For publication in [Management Science]; presented at Mathematical Programming Society Conference, August 1973.) 23 pp. Bibliog.

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