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On a Variable Dimension Algorithm for the Linear Complementarity Problem

Ludo Van der Heyden

No 689, Cowles Foundation Discussion Papers from Cowles Foundation for Research in Economics, Yale University

Abstract: In an earlier paper we presented a variable dimension algorithm for solving the linear complementarity problem (LCP). We now extend the class of LCP's that can be solved by this algorithm to include LCP's 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.

Pages: 12 pages
Date: 1984-01
Note: CFP 511.
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Published in Mathematical Programming (1980), 19: 328-346

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