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On the connectedness of solution sets in linear complementarity problems

✍ Scribed by Cristen Jones; M.Seetharama Gowda

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
691 KB
Volume
272
Category
Article
ISSN
0024-3795

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✦ Synopsis

We investigate conditions on a square matrix M for which every LCP(M, y 1 (with q arbitrary) has a connected solution set. We show that a matrix with this property is necessarily fully semimonotone.

Using degree theory, we show that the solution set of LCP(M, q) corresponding to a P,-matrix is connected if there is a bounded connected component in the solution set.

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