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An alternative method for a global analysis of quadratic programs in a finite number of steps

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Abstract

This paper considers the global analysis of general quadratic programs in a finite number of steps. A procedure is presented for recursively finding either the global minimum or a halfline of the constraint set along which the minimand is unbounded below.

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References

  1. R. Bellman,Introduction to matrix analysis (McGraw Hill, 1970, 2nd Ed.).

  2. C.A. Burdet, “General quadratic programming”, Management Sciences Research Rept. No. 272, GSIA, Carnegie-Mellon University (November, 1971).

  3. R.W. Cottle, “Fundamentals of quadratic programming and linear complementarity”, Systems Optimization Laboratory, Department of Operations Research, Stanford University, Tech. Rept. SOL 77-21 (August, 1977).

  4. B.C. Eaves, “On quadratic programming”,Management Science 17 (1971) 698–711.

    Google Scholar 

  5. B.C. Eaves, “A finite procedure for determining if a quadratic form is bounded below on a closed polyhedral convex set”,Mathematical Programming, to appear.

  6. M. Frank and P. Wolfe, “An algorithm for quadratic programming”,Naval Research Logistics Quarterly 3 (1956) 95–110.

    Google Scholar 

  7. A.F. Perold, “A generalization of the Frank—Wolfe theorem”, Department of Operations Research, Stanford University, Tech. Rept. 77-18 (July, 1977).

  8. J. Stoer and C. Witzgall,Convexity and optimization in finite dimensions I (Springer, New York, 1970).

    Google Scholar 

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Research was partially supported by the U.S. Energy Research and Development Administration Contract EY-76-S-03-0326 PA #18; the Office of Naval Research Contracts N00014-75-C-0267 and N00014-75-C-0865; and the National Science Foundation Grants MCS76-20019 and MCS76-81259.

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Perold, A.F. An alternative method for a global analysis of quadratic programs in a finite number of steps. Mathematical Programming 15, 105–109 (1978). https://doi.org/10.1007/BF01609005

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  • DOI: https://doi.org/10.1007/BF01609005

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