17220160612124234.0scholaroai:ddd.uab.cat:17200255610v83n3p407engStoer, JosefInfeasible-interior-point paths for sufficient linear complementarity problems and their analyticity1998In 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..Anglès.recercaHorizontal linear complementarity problemsSufficient matricesInfeasible interior-point-pathsArticleinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionWechs, Martinvol. 83 n. 3 (1998) p. 407-423Mathematical Programming0025-561017577133http://ddd.uab.cat/uab/matpro/00255610v83n3p407.pdf4074231138300255610v83n31998ARTPUBMATPROfile0MD5e1fcd67be6c413e2356cd436eceda028577133bytestream1.1filepathuab/matpro/00255610v83n3p407.pdfdisk