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Math and StatisticsOperations Research

Isotone Solutions of the Parametric Complementarity Problems.

Authors: Ikuyo Kaneko; STANFORD UNIV CALIF SYSTEMS OPTIMIZATION LAB
Abstract:
Let p be a function from R to (R sup n) and let F be a function from (R sup n) to itself satisfying F(0) = 0. The parametric complementarity problem is given by the conditions p(alpha) + F(z) > or = 0, alpha > or = 0, z > or = 0 and (z sup T)(p(alpha) + F(z)) = 0. This paper studies the behavior of solutions to the parametric complementarity problem as the parameter alpha increases from zero.

Description: Technical rept.
Pages: 34
Report Date: MAR 1975
Contract Number: N0001467A01120011, 04-3, AT043
Report Number: A199210

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Keywords relating to this report:
CONVEX SETS
Functions Mathematics
MATRICES MATHEMATICS
OPTIMIZATION
THEOREMS.
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