Illes, T. and Nagy, M. and Terlaky, T. (2009) EP theorem for dual linear complementarity problem. Journal of Optimization Theory and Applications, 140 (2). pp. 233-238. ISSN 0022-3239Full text not available in this repository. (Request a copy from the Strathclyde author)
The linear complementarity problem (LCP) belongs to the class of -hard problems. Therefore, we cannot expect a polynomial time solution method for LCPs without requiring some special property of the matrix of the problem. We show that the dual LCP can be solved in polynomial time if the matrix is row sufficient; moreover, in this case, all feasible solutions are complementary. Furthermore, we present an existentially polytime (EP) theorem for the dual LCP with arbitrary matrix.
|Keywords:||linear complementarity problem, dual LCP, row sufficient matrix, ℘*-matrix, EP theorem, Management. Industrial Management, Control and Optimization, Management Science and Operations Research, Applied Mathematics|
|Subjects:||Social Sciences > Industries. Land use. Labor > Management. Industrial Management|
|Department:||Strathclyde Business School > Management Science|
|Depositing user:||Mrs Caroline Sisi|
|Date Deposited:||27 Jan 2010 14:31|
|Last modified:||12 Aug 2016 02:33|