Tuesday, May 11

Preconditioning Techniques in Optimization and Applications

10:45 AM-12:45 PM
Room: Atlanta 1 and 2

Large-scale nonlinear optimization problems require special numerical routines for efficient solution. Usually, methods like Sequential Quadratic Programming are used to solve the nonlinear optimization problem. However, at each iteration a large-scale quadratic optimization problem occurs. Its solution is obtained by an iterative solver like CG or GMRES. The efficiency of these methods and hence of the overall method is heavily dependent on the use of proper preconditioners. The speakers will present several methods and an important application to the numerical solution in groundwater modeling.

Organizers: Astrid Battermann and Ekkehard W. Sachs
Universität Trier, Germany

10:45-11:10 Simultaneous Multigrid Methods for Large Optimization Problems
Volker Schulz, Universität Stuttgart, Germany
11:15-11:40 Uzawa Type Algorithms for Nonsymmetric Saddle Point Problems
Apostol Vassilev, Schlumberger Technology Corporation
11:45-12:10 Domain Decomposition Preconditioners for Nonlinear Equations in Hydrology
Lea Jenkins and C. T. Kelley, North Carolina State University
12:15-12:40 Efficient Preconditioners for Quadratic Control Problems
Astrid Battermann, Organizer

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MMD, 12/21/98