On a Class of Semimonotone Qo-Matrices in the Linear Complementarity Problem

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

No 199208, UP School of Economics Discussion Papers from University of the Philippines School of Economics

Abstract: This paper is concerned with the class L* of nxn real matrices M for which the linear complementarity problem, w = Mz + q, w, O, z 0, wTz = 0, has a unique complementary solution for each q such that 0 „ q „ 0. It is shown that (a) L* lies strictly between L* and L1, the classes of strictly semimonotone and semimonotone matrices, respectively, (b) L*-matrices are Q0-matrices, and (c) L* is the largest class of Q-matrices in L*.

Date: 1992-07
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Published as UPSE Discussion Paper No. 1992-08, July 1992

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Persistent link: https://EconPapers.repec.org/RePEc:phs:dpaper:199208

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