University of Georgia
Mathematics Department Colloquium
Israel Gohberg
Tel Aviv University, Tel Aviv, Israel
October 15, 1998
INFINITE SYSTEMS OF LINEAR EQUATIONS
Abstract: This talk is dedicated to the finite sections method for
infinite systems of linear equations. This method means that the
infinite system is replaced by the sequence of finite sections of the
original system and it is expected that the solutions of the finite
systems converge to the solution of the infinite system. This method
has a rich history of 150 years and many distinguished mathematicians
have made important contributions in this area. The talk will present
the early history and recent important achievements. Unexpected
examples and computational experiments will motivate and illustrate
the main results. Special attention will be paid to the case of
Toeplitz matrices with continuous and discontinuous symbols. The talk
is planned for a wide audience.