Isotone solutions of parametric linear complementarity problems |
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Authors: | Ikuyo Kaneko |
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Institution: | (1) University of Wisconsin-Madison, Madison, WI, USA |
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Abstract: | The parametric linear complementarity problem is given by the conditions:q + p + Mz 0, 0,z 0,z
T
(q + p + Mz) = 0. Under the assumption thatM is a P-matrix, Cottle proved that the solution mapz( ) of the above problem is montonically nondecreasing in the parameter for every nonnegativeq and everyp if and only ifM is a Minkowski matrix. This paper examines whether a similar result holds in various other settings including a nonlinear case. |
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Keywords: | |
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