Browsing by Author "Wu, S. Y."

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    Canonical dual approach to solving 0-1 quadratic programming problems
    Fang, S. C.; Gao, D. Y.; Sheu, R. L.; Wu, S. Y. (American Institute of Mathematical Sciences, 2008-02)
    This paper presents a canonical duality theory for solving nonconvex polynomial programming problems subjected to box constraints. It is proved that under certain conditions, the constrained nonconvex problems can be converted to the so-called canonical (perfect) dual problems, which can be solved by deterministic methods. Both global and local extrema of the primal problems can be identified by a triality theory proposed by the author. Applications to nonconvex integer programming and Boolean least squares problems are discussed. Examples are illustrated. A conjecture on NP-hard problems is proposed.