### Monday, March 17

11:00 AM-1:00 PM

*Nicollet D2 *

## MS19

Parallel Eigenvalue Methods for Scientific and Engineering Applications

Many of the grand-challenge applications in sciences and engineering require the solution of large sparse eigenvalue problems. While these applications could benefit substantially from parallel processing, it
can be noted that parallelism is making a slow impact relative to comparable technologies in sparse linear systems. Recent advances in parallel computing, such as massively parallel computers, cluster computing, and communication standards, as well as advances in eigenvalue methods, such as preconditioners, restarting, and improved robustness, are setting new computational challenges. Among these are the need for parallel algorithms to compute a large number of interior eigenvalues and the need for efficient parallel preconditioners. This minisymposium will focus on how new eigenvalue methods and parallel computing technologies are combined to solve the new and traditional types of matrix eigenvalue problems which arise in a few applications. It will also attempt to address scalability issues of current techniques, and discuss the incorporation of these new technologies into efficient parallel software.

**Organizers: Yousef Saad and Andreas Stathopoulos **

*University of Minnesota, Minneapolis*

**11:00 Conjugate-Gradient Based Electronic Structure Calculations on the Cray T3E and SGI PowerChallenge**
*Bernd Pfrommer* , Steven G. Louie, University of California, Berkeley, and Horst D. Simon, Lawrence Berkeley National Laboratory
**11:30 Parallel ARPACK: Portable Software for the Solution of Large Scale Eigenvalue Problems on Distributed Memory Architectures**
- Kristyn J. Maschhoff, Rice University
**12:00 Parallel Computation of Spectral Portrait by Davidson's Method **
*Bernard Philippe* and Miloud Sadkane, IRISA, Campus de Beaulieu, France
**12:30 Parallel Solution of Eigenvalue Problems in Electronic Structure Calculations**
*Andreas Stathopoulos* and Yousef Saad, Organizers; and James R. Chelikowsky, University of Minnesota, Minneapolis

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*MMD, 1/24/97*