Sufficient Global Optimality Conditions for Bivalent Quadratic Optimization

M. Ç. Pinar
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M. Ç. Pinar: Bilkent University

Journal of Optimization Theory and Applications, 2004, vol. 122, issue 2, No 11, 433-440

Abstract: Abstract We prove a sufficient global optimality condition for the problem of minimizing a quadratic function subject to quadratic equality constraints where the variables are allowed to take values −1 and 1. We extend the condition to quadratic problems with matrix variables and orthonormality constraints, and in particular to the quadratic assignment problem.

Keywords: Quadratic optimization with binary variables; global optimality; sufficient optimality conditions; quadratic assignment problem (search for similar items in EconPapers)
Date: 2004
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Citations: View citations in EconPapers (12)

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DOI: 10.1023/B:JOTA.0000042530.24671.80

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