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A tight bound for the Boolean quadratic optimization problem and its use in a branch and bound algorithm. (English) Zbl 0658.90066

Known duality statements are used to find tight bounds for the branch and bound process in solving Boolean quadratic optimization problems. To solve the corresponding continuous and partial problem, a Newton-like procedure is indicated. Superlinear convergence, however, is only obtained in partial cases.

MSC:

90C09 Boolean programming
90C20 Quadratic programming
65K05 Numerical mathematical programming methods
49N15 Duality theory (optimization)
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