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Degenerate complementary cones induced by aK 0-matrix

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Abstract

In this paper we prove two results concerning the unionC of all the degenerate complementary cones associated with the linear complementarity problem (M, q) whereM is aK 0-matrix.

  1. (1)

    C is the same as the set of allq ∈R n for which (M, q) has infinitely many solutions.

  2. (2)

    C is the same as the boundary of the set of allq ∈ R n for which (M, q) has a solution, an easily observable geometric result for a 2 × 2K 0-matrix.

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Mohan, S.R. Degenerate complementary cones induced by aK 0-matrix. Mathematical Programming 20, 103–109 (1981). https://doi.org/10.1007/BF01589335

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  • DOI: https://doi.org/10.1007/BF01589335

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