COWLES FOUNDATION FOR RESEARCH IN
ECONOMICS Box 208281
COWLES FOUNDATION DISCUSSION PAPER NO. 689 "On a Variable Dimension Algorithm for the Linear Complementarity Problem" Ludo Van der Heyden January 1984 In an earlier paper we presented a variable dimension algorithm for solving the linear complementarity problem (LCP). We now extend the class of LCPs that can be solved by this algorithm to include LCPs with copositive plus coefficient matrices. The extension, inspired by Lemke [1965], is obtained by introducing an artificial dimension and by applying the variable dimension algorithm to the enlarged LCP. See CFP 511 |