Cone complementarity problems with finite solution sets

Cone complementarity problems with finite solution sets

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Article ID: iaor20062305
Country: Netherlands
Volume: 34
Issue: 2
Start Page Number: 121
End Page Number: 126
Publication Date: Mar 2006
Journal: Operations Research Letters
Authors: ,
Keywords: complementarity
Abstract:

We introduce the notion of a complementary cone and a nondegenerate linear transformation and characterize the finiteness of the solution set of a linear complementarity problem over a closed convex cone in a finite dimensional real inner product space. In addition to the above, other geometrical properties of complementary cones have been explored.

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