(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
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Creator |
Danao, Rolando A.
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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.
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Publisher |
UPSE Discussion Papers
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Contributor |
—
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Date |
2010-08-28
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Type |
info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion Peer-reviewed Article |
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Format |
application/pdf
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Identifier |
http://www.econ.upd.edu.ph/dp/index.php/dp/article/view/191
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Source |
UPSE Discussion Papers; 1994
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Language |
eng
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Relation |
http://www.econ.upd.edu.ph/dp/index.php/dp/article/view/191/262
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