172 eng Stoer, Josef Infeasible-interior-point paths for sufficient linear complementarity problems and their analyticity In this paper we study the behavior of infeasible-interior-point-paths for solving horizontal linear complementarity problems that are sufficient in the sense of Cottle et al. (R.W. Cottle, J.-S. Pang, Venkateswaran, Linear Algebra Appl. 114/115 (1989) 231-249). We show that these paths converge to a central point of the set of solutions. It is also shown that these are analytic functions of the path parameter even at the limitpoint, if the complementarity problem has a strictly complementary solution, and have a simple branchpoint, if it is solveable, but has no strictly complementarity solution.. Article de fons. Horizontal linear complementarity problems Sufficient matrices Infeasible interior-point-paths Article Wechs, Martin Elsevier vol. 83 n. 3 (1998) p. 407-423 83:3<407 Mathematical Programming 0025-5610 00255610v83n3p407 407 423 11 3 83 00255610v83n3 1998 ARTPUB info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion http://ddd.uab.cat/uab/matpro/00255610v83n3p407.pdf 17 577133