@article{ajmo2013111,
author={{Elfoutayeni, Youssef and Khaladi, Mohamed},
title={General Characterization of a Linear Complementarity Problem},
journal={American Journal of Modeling and Optimization},
volume={1},
number={1},
pages={1--5},
year={2013},
url={http://pubs.sciepub.com/ajmo/1/1/1},
abstract={For a given matrix and a vector of, the linear complementarity problem* LCP(A,b) *is to find a vector in satisfying, and or showing that such a vector does not exist. Under various hypotheses on the matrix, *LCP** **(A,b) *was studied by many authors in the last decade. In previous papers we have developed algorithms for solving some classes of *LCP** **(A,b)*. In this work, we give a general characterization of the solutions of *LCP** **(A,b)*, we show under what conditions the problem has a solution or not and how to calculate the solution when they exist. We then apply this characterization to some examples and find the solutions or show that the problem *LCP** **(A,b)* has no solution.},
doi={10.12691/ajmo-1-1-1}
publisher={Science and Education Publishing}
}