GEORGE MASON UNIVERSITY
DEPARTMENT OF MATHEMATICAL SCIENCES
APPLIED AND COMPUTATIONAL MATHEMATICS SEMINAR


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