On Q-Matrices and the Boundedness of Solutions to Linear Complementarity Problems

Rolando Danao
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Rolando Danao: School of Economics, University of the Philippines Diliman

No 199308, UP School of Economics Discussion Papers from University of the Philippines School of Economics

Abstract: This paper is concerned with the existence and boundedness of the solutions to the linear complementarity problem w = Mz + q, w ≥ 0, z ≥ 0, wTz = 0, for each q є Rn. It has been previously established that if M is copositive plus, then the solution set is nonempty and bounded for each q є Rn iff M is a Q-matrix. This result is shown to be valid also for L2-matrices, Po-matrices, nonnegative matrices and Z-matrices.

Date: 1993-08
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Published as UPSE Discussion Paper No.1993-08, August 1993

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