C. Jones et Ms. Gowda, ON THE CONNECTEDNESS OF SOLUTION SETS IN LINEAR COMPLEMENTARITY-PROBLEMS, Linear algebra and its applications, 272, 1998, pp. 33-44
We investigate conditions on a square matrix M for which every LCP(M,
q) (with q arbitrary) has a connected solution set. We show that a mat
rix with this property is necessarily fully semimonotone. Using degree
theory, we show that the solution set of LCP(M, q) corresponding to a
P-0-matrix is connected if there is a bounded connected component in
the solution set. (C) 1998 Elsevier Science Inc.