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(DP 1994-04) A Note on Isotone Solutions of the Parametric Linear Complementarity Problem

UPSE Discussion Papers

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Title (DP 1994-04) A Note on Isotone Solutions of the Parametric Linear Complementarity Problem
 
Creator Danao, Rolando A.
 
Description This paper shows that the parametric linear complementarity problem w = Mz + q + αp, w ≥ 0, z ≥ 0, wTz = 0, α ≥ 0 has isotone complementary solutions for q = 0 and every p iff M is a P-matrix. Thus, isotonicity for every q ≥ 0 and every p reduces to monotonicity where M is a P-matrix. By excluding q = 0, it is shown that isotonicity is possible for every 0 ¡Ù q ≥ 0 and every p where M is not P-matrix.
 
Publisher UPSE Discussion Papers
 
Contributor
 
Date 2010-08-28
 
Type info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Peer-reviewed Article
 
Format application/pdf
 
Identifier http://www.econ.upd.edu.ph/dp/index.php/dp/article/view/191
 
Source UPSE Discussion Papers; 1994
 
Language eng
 
Relation http://www.econ.upd.edu.ph/dp/index.php/dp/article/view/191/262