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  • 标题:Unconstrained formulation of standard quadratic optimization problems
  • 本地全文:下载
  • 作者:Immanuel M Bomze ; Luigi Grippo ; Laura Palagi
  • 期刊名称:Department of Computer and System Sciences Antonio Ruberti Technical Reports
  • 印刷版ISSN:2035-5750
  • 出版年度:2010
  • 卷号:2
  • 期号:12
  • 页码:16
  • 语种:English
  • 出版社:Department of Computer and System Sciences Antonio Ruberti. Sapienza, Università di Roma
  • 摘要:A standard quadratic optimization problem (StQP) consists of nding the largest or smallest value of a (possibly indenite) quadratic form over the standard simplex which is the intersection of a hyperplane with the positive orthant. This NP-hard problem has several immediate real-world applications like the Maximum-Clique Problem, and it also occurs in a natural way as a subproblem in quadratic programming with linear constraints. We propose unconstrained reformulations of StQPs, by using dierent approaches. We test our method on clique problems from the DIMACS challenge.
  • 关键词:standard quadratic optimization;maximum clique;exact penalization
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