### Wednesday, July 16

10:30 AM-12:30 PM

*Building 200, Room 2*

## MS42

Preconditioned Methods for Large Eigenproblems

Large eigenvalue problems are of major importance in many grand challenge scientific and engineering applications: structural dynamics and buckling, ocean modeling, quantum chemistry, and magnetohydrodynamics. They arise typically from the discretization of continuous models, described by systems of partial differential equations. Matrices may be so large
that the standard numerical methods become unsatisfactory and cannot be implemented even on the most powerful modern supercomputers as they are too slow or require too much memory.

Preconditioned iterative methods were specially designed for problems of that kind and now they are well understood for solving large ill-conditioned linear algebraic systems of equations. For eigenproblems the theory is still poor, and these methods are rarely used. Ideally, the methods would
compute well-separated clusters of eigenvalues and corresponding eigenspaces at the same order of computational cost as that for solution of the corresponding linear algebraic system.

The purpose of the minisymposium is to bring together researchers in the area to discuss recent developments. Intended audience includes specialists in numerical linear algebra as well as researchers interested in applications.

**Organizer: Andrew V. Knyazev**

*University of Colorado, Denver *

**10:30 Formulations of Preconditioning Techniques for Eigenvalue Problems**
*Yousef Saad*, Andreas Stathopoulos, and Kesheng Wu, University of Minnesota, Minneapolis
**(Cancelled)11:00 A Block Arnoldi-Faber Method for Large Complex Non Hermitian Eigenvalue Problems**
*Miloud Sadkane* and Vincent Heuveline, IRISA-INRIA, France
**11:30 Classical and Composite Orthogonal Projection Methods for Large Eigenproblems **
- Zhongxiao Jia, Dalian University of Technology, People's Republic of China
**12:00 Forty Years of Preconditioned Iterative Methods for Large Symmetric Eigenvalue Problems **
- Andrew V. Knyazev, Organizer

AN97 Homepage | Program Updates|

Registration | Hotel and Dormitory Information | Transportation | Program-at-a-Glance | Program Overview

*MMD, 3/31/97*

*tjf, 5/29/97*

*MMD, 7/3/97*