************************************************************************* Department of Mathematical Sciences The Johns Hopkins University SEMINAR ************************************************************************* Florian A. Potra December 06, 2001 Department of Mathematics and Statistics 304 Whitehead Hall University of Maryland Baltimore County Refreshments: 3:30 p.m. Seminar: 4:00 p.m. ************************************************************************* A SUPERLINEARLY CONVERGENT INTERIOR POINT METHOD FOR LCPs BASED ON A LARGE NEIGHBOURHOOD OF THE CENTRAL PATH ************************************************************************* ABSTRACT A predictor-corrector method for solving monotone LCPs is presented. The algorithm operates in a large neighborhood of the central path, has polynomial complexity and is superlinearly convergent even for problems that do not have a strictly complementary solution.