**Date & Time:** Tuesday, 18th January, 2011, 3.00- 4.00pm.

**Venue:** Ramanujan Hall

**Title:** A Sharp Upper Bound of the 1−Norm of the Inverse of Special
Lower Triangular Toeplitz Matrices

**Speaker:** Yuan Jin Yun,
Federal University of Parana, Curitiba ( Brazil)

**Abstract:**
In this talk, we introduce the necessity of the estimation of an
upper bound of 1-norm of the inverse of some special lower
triangular Toeplitz matrices which arise in application of numerical methods
applied to Volterra integral equations. Then we present a
simple survey on this issue. Finally, we give a sharp upper bound
for the problem with some conditions for some special classes of
lower triangular Teoplitz matrix such as Abel’s matrix. This
bound was a conjecture for more than 35 years. We also provide an answer
the Brunner´s question related to this problem.