banner USF Home College of Arts & Sciences OASIS myUSF USF A-Z Index

USF Home > College of Arts and Sciences > Department of Mathematics & Statistics

Mathematics & Statistics

Approximation Theory
(Leader: Prof. E. B. Saff)

Thursday, April 20, 2000

Title
Speaker

Time
Place

Sampling on a String
Ahmed I. Zayed
University of Central Florida
4:00pm-5:00pm
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
Speaker
Time
Place

Iterative Methods for Systems of Linear Equations — A Complex Analysis Approach
Nikos Stylianopoulos
4:00pm-5:00pm
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
Speaker
Time
Place

Gaussian versus optimal integration of analytic functions
Mario Goetz
Katholische Univ. Eichstaett
4:00pm-5:00pm
CHE 102

Thursday, March 9, 2000

Title
Speaker
Time
Place

Divergence of Interpolating Polynomials
Boris Shekhtman
4:00pm-5:00pm
CHE 102

Thursday, March 2, 2000

Title
Speaker

Time
Place

Semidefinite Programming
Florian Potra
University of Maryland Baltimore County
4:00pm-5:00pm
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
Speaker
Time
Place

On inverse polynomial images of intervals, Part II
E. A. Rakhmanov
4:00pm-5:00pm
CHE 102

Thursday, February 17, 2000

Title
Speaker
Time
Place

On inverse polynomial images of intervals
E. A. Rakhmanov
4:00pm-5:00pm
CHE 102

Thursday, February 10, 2000

Title
Speaker
Time
Place

Entropy considerations for orthogonal polynomials
Andrei Martínez-Finkelshtein
4:00pm-5:00pm
CHE 102

Thursday, February 3, 2000

Title
Speaker

Time
Place

Divergence of Hermite-Fejer interpolants
Mario Goetz
Katholische Univ Eichstaett
4:00pm-5:00pm
CHE 102

Thursday, January 27, 2000

Title
Speaker
Time
Place

Zero distribution for classical polynomials with non-classical parameters
Andrei Martínez-Finkelshtein
4:00pm-5:00pm
CHE 102