Speaker: Dianne P. O'Leary, Computer Science Department,University of Maryland, College Park
Title: Validating Approximate Solutions to Ill-Posed Problems
Abstract:
By definition, small changes in the data to an ill-posed problem
make arbitrarily large changes in the solution. Many algorithms
have been proposed for solving such problems, but how can we
hope to do this using noisy data and inexact computer arithmetic?
In this talk we discuss several methods for validating approximate
solutions to such problems using techniques such as residual
periodograms and confidence intervals.
Some of this work is joint with Bert W. Rust (NIST) and James
Nagy (Emory University).
Time: Friday, Jan. 30, 2009, 1:30-2:30 p.m.
Place: Science and Tech I, Room 242
Department of Mathematical Sciences
George Mason University
4400 University Drive, MS 3F2
Fairfax, VA 22030-4444
http://math.gmu.edu/
Tel. 703-993-1460, Fax. 703-993-1491