Speaker: Professor Yin ZHANG (Rice University) Inviter: Center for Optimization and Applications Title: Some Recent Advances in Alternating Direction Methods: Practice and Theory Time: 16:00-17:00, Sept 6th (Tuesday) Venue: Lecture Room 311, Lan-Bai Building Abstract: The classic Augmented Lagrangian Alternating Direction Method (ALADM or simply ADM) has recently found great utilities in solving convex, separable optimization problems arising from signal/image processing and sparse optimization. In this talk, we briefly introduce the classic ADM approach, give some recent examples of its applications including extensions to solving some non-convex and non-separable problems. We then present new local and global convergence results that extend the classic ADM convergence theory in several aspects.