Abstract
In this paper we show that ifA is a matrix in the class of matricesE(d), for ad ∈R n,d > 0, introduced by Garcia, then the boundary of the set ofq ∈R n for which the linear complementarity problem (q, A) has a solution is equal to the union of all strongly degenerate cones of (I, -A). This is a generalization of a similar result for copositive plus matrices observed by Cottle. We also study some related questions.
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On leave from Indian Statistical Service, Government of India.
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Eagambaram, N., Mohan, S.R. On strongly degenerate complementary cones and solution rays. Mathematical Programming 44, 77–83 (1989). https://doi.org/10.1007/BF01587078
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DOI: https://doi.org/10.1007/BF01587078