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Title: Sampling on a String Speaker: Ahmed I. Zayed, University of Central Florida Time: 4:00pm‐5:00pm Place: CHE 102
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.
Title: Iterative Methods for Systems of Linear Equations — A Complex Analysis Approach Speaker: Nikos Stylianopoulos Time: 4:00pm‐5:00pm Place: CHE 102
Our seminar will be held on Friday, March 31, 2000, in conjunction with this week's colloquium.
Title: Gaussian versus optimal integration of analytic functions Speaker: Mario Goetz, Katholische Univ. Eichstaett Time: 4:00pm‐5:00pm Place: CHE 102
Title: Divergence of Interpolating Polynomials Speaker: Boris Shekhtman Time: 4:00pm‐5:00pm Place: CHE 102
Title: Semidefinite Programming Speaker: Florian Potra, University of Maryland Baltimore County Time: 4:00pm‐5:00pm Place: CHE 102
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.
Title: On inverse polynomial images of intervals, Part II Speaker: E. A. Rakhmanov Time: 4:00pm‐5:00pm Place: CHE 102
Title: On inverse polynomial images of intervals Speaker: E. A. Rakhmanov Time: 4:00pm‐5:00pm Place: CHE 102
Title: Entropy considerations for orthogonal polynomials Speaker: Andrei Martínez-Finkelshtein Time: 4:00pm‐5:00pm Place: CHE 102
Title: Divergence of Hermite-Fejer interpolants Speaker: Mario Goetz, Katholische Univ Eichstaett Time: 4:00pm‐5:00pm Place: CHE 102
Title: Zero distribution for classical polynomials with non-classical parameters Speaker: Andrei Martínez-Finkelshtein Time: 4:00pm‐5:00pm Place: CHE 102