Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/13404
Title: Unified approaches for solvable and unsolvable linear complementarity problems
Authors: Kostreva, MM
Yang, XQ 
Keywords: Linear complementarity problem
Minimax optimization
Multicriteria optimization
Quadratic programming
Issue Date: 2004
Publisher: Elsevier
Source: European journal of operational research, 2004, v. 158, no. 2, p. 409-417 How to cite?
Journal: European journal of operational research 
Abstract: In this paper, general linear complementarity problems (LCPs) 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 optimality conditions of LCPs are derived. Some examples are also given to demonstrate these optimality conditions.
URI: http://hdl.handle.net/10397/13404
ISSN: 0377-2217
EISSN: 1872-6860
DOI: 10.1016/j.ejor.2003.06.014
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