Tuesday, May 11

MS12
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