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

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*.

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Year of publication:	1992-07
Authors:	Danao, Rolando A.
Institutions:	School of Economics, University of the Philippines at Diliman

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Series:	UP School of Economics Discussion Papers.
Type of publication:	Book / Working Paper
Notes:	Published as UPSE Discussion Paper No. 1992-08, July 1992 Number 199208
Source:	RePEc - Research Papers in Economics

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