Wednesday, October 29

MS1
Numerical Methods for Large Eigenvalue Problems

10:00 AM-12:00 PM
Room: Ballroom 1

The computation of a few eigenvalues and eigenvectors of a large matrix, and the corresponding computation for matrix pencils, arises in many applications in science and engineering. In recent years many new methods that do not require the factorization of a large matrix have been developed. This minisymposium presents an overview of state-of-the-art methods of this kind. Applications and parallel implementation issues will be discussed.

Organizers: Daniela Calvetti,
Stevens Institute of Technology;
Lothar Reichel,
Kent State University

10:00 An Iterative Block Method for Computing a Few Close Eigenvalues of Large Sparse Symmetric Matrix

James Baglama, Kent State University; Daniela Calvetti and Lothar Reichel, Organizers; and A. Ruttan, Kent State University

10:30 Computing Guided Waves for Optical Fibers

Richard Lehoucq, Argonne National Laboratory; and Lawrence Cowsar, Bell Laboratories, Lucent Technologies

11:00 An Implicitly Restarted QZ-Like Projection Method for Large Generalized Eigenproblems

Danny C. Sorensen, Rice University

11:30 An Iterative Algorithm for the Partial QZ Reduction of Very Large Generalized Eigenproblems

Henk A. van der Vorst, University of Utrecht, The Netherlands

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