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On Solvability of Convex Noncoercive Quadratic Programming Problems

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  • Z. Dostál

    (FEECS VŠB–Technical University of Ostrava)

Abstract

Using a known result on minimization of convex functionals on polyhedral cones, the Frank–Wolfe theorem, and basic linear algebra, we give a simple proof that the general convex quadratic programming problem which satisfies a natural necessary condition has a solution.

Suggested Citation

  • Z. Dostál, 2009. "On Solvability of Convex Noncoercive Quadratic Programming Problems," Journal of Optimization Theory and Applications, Springer, vol. 143(2), pages 413-416, November.
    • Handle: RePEc:spr:joptap:v:143:y:2009:i:2:d:10.1007_s10957-009-9563-y
    DOI: 10.1007/s10957-009-9563-y
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    References listed on IDEAS

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    1. B. Curtis Eaves, 1971. "On Quadratic Programming," Management Science, INFORMS, vol. 17(11), pages 698-711, July.
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