Saturday, November 1

MS16
Unsymmetric Eigenvalue Alternatives

10:00 AM-12:30 PM
Room: Ballroom 1 (This session will run until 12:30 PM)

Alternatives to reduction to Hessenberg form followed by QR iteration for computing eigenvalues of dense matrices will be described. A few methods take advantage of methods which do not destroy band structure after reduction to tridiagonal, striped tridiagonal or banded Hessenberg form. Modified Lanczos reduction with improved efficiency for solution of sparse systems will also be presented.

Organizer: Eugene L. Wachspress
Retired, Windsor, CA

10:00 Gaussian Reduction to Similar Hessenberg or Banded Hessenberg Form

Gary W. Howell, Florida Institute of Technology

10:30 Calculating Eigenvalues of Large Matrices using the BR Algorithm

David S. Watkins, Washington State University; Gary W. Howell, Florida Institute of Technology; and G. A. Geist, Oak Ridge National Laboratory

11:00 Striped Tridiagonal Eigenvalue Algorithms

Eugene L. Wachspress, Organizer

11:30 Parallel QR Reduction of Large Systems

Greg Henry, Intel

12:00 Reduction of Systems to Fishbone Form

Jianxun He, KLA Instruments Corporation, San Jose; and Beresford Parlett, University of California, Berkeley

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