CRPC-TR98755-S August 1998 Title: Optimal Face Identification Methods and Bounded Variable Linear Programs Authors: Pamela J. Williams, Amr S. El-Bakry and Richard A. Tapia Submitted August 1998; Available as Rice CAAM TR 98-17 Abstract: We extend optimal face identification methods to bounded variable linear programming problems. Distance to the lower and upper bounds are incorporated into a projection model and Mehrotra--Ye's solution technique to prevent the computed solution from violating the bound constraints. Empirical and theoretical evidence are provided that support use of the new models to compute an exact solution. We also introduce a nonlinear weighted projection method to solve the optimal face identification problem. ------------------------------------------------------------------------------ Pamela J. Williams Amr S. El-Bakry Richard A. Tapia pjwill@caam.rice.edu elbakry@caam.rice.edu rat@caam.rice.edu Department of Computational and Applied Mathematics Rice University