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