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

Richard Hillestad

Expert InsightsPublished 1973

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.

Document Details

  • Copyright: RAND Corporation
  • Availability: Web Only
  • Year: 1973
  • Pages: 23
  • Document Number: P-5066

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Hillestad, Richard, A Characterization of Local Solutions Useful for Solving Reverse Convex Problems. Santa Monica, CA: RAND Corporation, 1973. https://www.rand.org/pubs/papers/P5066.html.
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