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(DP 1996-07) A Note on the Parametric Linear Complementarity Problem
UPSE Discussion Papers
View Archive Info| Field | Value | |
| Title |
(DP 1996-07) A Note on the Parametric Linear Complementarity Problem
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| Creator |
Danao, Rolando A.
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| Description |
Consider the parametric linear complementarily problem, w = Mz + q + ¦Ëp, w ¡Ý 0, z ¡Ý 0, where p ¡Ù 0, 0 ¡Ù q ¡Ý 0, and ¦Ë ¡Ý 0. We show that a necessary condition for every complementary map z(¦Ë) to be isotone for every nonzero q ¡Ý 0 and every p is that M be either a P-matrix or P1*-matrix (M є P1*iff M є P1Q and det(M) = 0). Cottle's necessary and sufficient conditions for strong and uniform isotonicity for P-matrices are restated for P1*-matrices.
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| Publisher |
UPSE Discussion Papers
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| Contributor |
—
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| Date |
2010-08-27
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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/174
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| Source |
UPSE Discussion Papers; 1996
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| Language |
eng
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| Relation |
http://www.econ.upd.edu.ph/dp/index.php/dp/article/view/174/245
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