Thursday, July 17

10:30 AM-12:30 PM
Meyer Library, Forum Room

Fast Toeplitz Solvers (Part I of II)

This minisymposium is centered on the development of fast Toeplitz solvers. There are many applications of the Toeplitz systems such as (1) numerical PDE, (2) numerical integral equation, (3) time series, (4) signal processing: filter design, (5) image restoration, and (6) control theory.

In recent years, some fast iterative methods for Toeplitz systems have been developed. The main advantage of these methods is that the convergence rate is superlinear and hence is faster that any existing ones by at least an O(log n) factor, where n is the size of the systems. The purpose of this minisymposium is to invite some leading experts in this area to give the talks on their recent research results.

Outstanding scholars and experts in the field of numerical linear algebra from leading universities and research institutes around the world will be invited to give some talks on their research of Toeplitz solvers. The people who are interested in the fast Toeplitz solvers will greatly benefit from their studies.

Organizer: Xiao-Qing Jin
University of Macau, Macau

10:30 A Korovkin-Weierstrass Matrix Theory for the Approximation of Toeplitz Matrices via Banach Matrix Algebra
Stefano Serra, University of Pisa, Italy
11:00 Numerical Solution of Eigenvalue Problem for Hermitian Toeplitz-like Matrices
Michael K. Ng and William F. Trench, The Australian National University, Australia
11:30 A Unifying Framework for Preconditioners Based on Fast Transforms
Kurt Otto, Uppsala University, Sweden
12:00 Effective Methods for Solving Banded Toeplitz Systems
Dario Andrea Bini and Beatrice Meini, University of Pisa, Italy

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MMD, 4/21/97
tjf, 5/29/97
MMD, 5/30/97