Unified approaches for solvable and unsolvable linear complementarity problems

نویسندگان

  • Michael M. Kostreva
  • X. Q. Yang
چکیده

In this paper, general linear complementarity problems(Lf'Ps) are studied via global optimization problems. In particular, unsolvable 'LCPs are reformulated as multicriteria optimization, minimax optimization and quadratic programming problems. The solvability and unsolvability of LCPs are obtained via these reformulations. Furthermore, first-order and second-order global optimaiity conditions of LCPs are derived. Some examples are also given to demonstrate these optimality conditions. © 2003 Elsevier B.V. All rights reserved.

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عنوان ژورنال:
  • European Journal of Operational Research

دوره 158  شماره 

صفحات  -

تاریخ انتشار 2004