Thursday, April 20, 2000
| Title |
Sampling on a String |
| Speaker |
Professor Ahmed I. Zayed
University of Central Florida |
| Time |
4:00-5:00 p.m. |
| Place |
CHE 102 |
Abstract
A connection between the Whitaker-Shannon-Kotel'nikov sampling (interpolation)
theorem and Sturm-Liouville boundary-value problems was discovered about 8 years
ago. String theory as developed by Kac and Krein is a generalization of the
Sturm-Liouville-Titchmarsh theory. In this talk we discuss sampling theorems
associated with strings and show how they differ from those associated with
the Sturm-Liouville-Titchmarsh theory.
Thursday, April 13, 2000
| Title |
Iterative Methods for Systems of Linear Equations — A Complex
Analysis Approach |
| Speaker |
Nikos Stylianopoulos |
| Time |
4:00-5:00 p.m. |
| Place |
CHE 102 |
Thursday, March 30, 2000
Our seminar will be held on Friday, March 31, 2000, in conjunction with this
week's colloquium.
Thursday, March 24, 2000
| Title |
Gaussian versus optimal integration of analytic functions |
| Speaker |
Dr. Mario Goetz
Katholische Univ. Eichstaett |
| Time |
4:00-5:00 p.m. |
| Place |
CHE 102 |
Thursday, March 9, 2000
| Title |
Divergence of Interpolating Polynomials |
| Speaker |
Professor Boris Shekhtman |
| Time |
4:00-5:00 p.m. |
| Place |
CHE 102 |
Thursday, March 2, 2000
| Title |
Semidefinite Programming |
| Speaker |
Professor Florian Potra
University of Maryland Baltimore County |
| Time |
4:00-5:00 p.m. |
| Place |
CHE 102 |
Abstract
According to a recent survey paper, semidefinite programming (SDP) is
“the most exciting development in mathematical programming in the
1990's”. SDP has many applications in robust optimal control, robust
structural optimization, statistics, etc. Also SDP relaxation of several NP-hard
problems such as Max-Cut or the Quadratic Assignment Problem provide efficient
approximation algorithms for those problems. Interior-point methods are the only
methods capable of effectively solving general SDP problems. Several research
groups are presently carrying out intensive theoretical and experimental
investigation of different classes of interior-point methods for SDP. In our talk
we give and overview of this field and present some numerical results obtained
with the code SDPHA. Also we present some applications of SDP in approximation
theory.
Thursday, February 24, 2000
| Title |
On inverse polynomial images of intervals, II |
| Speaker |
Professor E. A. Rakhmanov |
| Time |
4:00-5:00 p.m. |
| Place |
CHE 102 |
Thursday, February 17, 2000
| Title |
On inverse polynomial images of intervals |
| Speaker |
Professor E. A. Rakhmanov |
| Time |
4:00-5:00 p.m. |
| Place |
CHE 102 |
Thursday, February 10, 2000
| Title |
Entropy considerations for orthogonal polynomials |
| Speaker |
Dr. Andrei Martinez-Finkelshtein |
| Time |
4:00-5:00 p.m. |
| Place |
CHE 102 |
Thursday, February 3, 2000
| Title |
Divergence of Hermite-Fejer interpolants |
| Speaker |
Dr. Mario Goetz
Katholische Univ Eichstaett |
| Time |
4:00-5:00 p.m. |
| Place |
CHE 102 |
Thursday, January 27, 2000
| Title |
Zero distribution for classical polynomials with non-classical
parameters |
| Speaker |
Dr. Andrei Martinez-Finkelshtein |
| Time |
4:00-5:00 p.m. |
| Place |
CHE 102 |