Thursday, May 13

Numerical Analysis and Applications Associated with Kronecker Products

3:45 PM-6:15 PM
Room: Georgia I

Recently, there has been considerable work in numerical analysis to analyze problems involving Kronecker products. For least squares problems, parallel solution of huge linear systems involving millions of variables become possible when the Kronecker product structure is present, owing to fact that the order of the systems is reduced from N to sqrt N. Applications in photogrammetry, signal processing, and fast transform methods are commonplace. Kronecker product pre-conditioners will afford the same reduction in operation counts to a much larger class of problems. The speakers will address new numerical methods and applications where Kronecker products arise.

Organizer: Charles T. Fulton
Florida Institute of Technology

3:45-4:10 Rank-Deficient Large Least Squares Problems
Charles T. Fulton, Organizer; and Limin Wu, UpdatedGeneral Sciences Corporation
4:15-4:40 UpdatedThe Strong Kronecker Product
Nikos P. Pitsianis, BOPS, Inc.
4:45-5:10 UpdatedKronecker Product Preconditioners in Image Restoration
Julie Kamm, Raytheon Systems Company, Dallas; and James G. Nagy, Southern Methodist University
5:15-5:40 Developments in Array Algebra Since 1995 SIAM Minisymposium
Urho A. Rauhala, General Dynamics Electronics Systems, Inc.
5:45-6:10 UpdatedKronecker Product in Backward Error Analysis
Serge Gratton, CERFACS, Toulouse, France

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LMH, 1/19/99, MMD, 3/25/99