### Tuesday, July 15

(This session will run until 5:45PM)

3:15 PM-5:45 PM

*Meyer Library, Forum Room*

## MS32

New Methods for Least Squares Problems with Uncertainty and Structure

The celebrated least squares problem has undergone many developments recently, such as constrained least squares, total least squares, structured/constrained total least squares, etc. These developments
share the common idea of taking into account some a priori knowledge in the data A,b, to define a "solution" to an overdetermined system Ax = b.

The purpose of the minisymposium is to present new methods that aim at taking into account different kinds of a priori information on the data and/or the solution. Problems with unknown-but-bounded (structured) uncertainty on the data, structured condition numbers, or recent techniques for large-scale problems are among these new developments. These problems are often linked with robustness and/or regularization issues.

**Organizers: Laurent El Ghaoui and Herve Lebret**

*Ecole Nationale Superieure de Techniques Avancees, France*

**3:15 Parameter Estimation with Bounded Data Uncertainties **
*Ali H. Sayed*, University of California, Los Angeles; Gene H. Golub and S. Chandrasekaran, Stanford University
**3:45 Tikhonov Regularization for Large Scale Problems**
- U. Von Matt, ETH-Zentrum, Switzerland
**4:15 Second-Order Cone Programming**
*L. Vandenberghe*, Miguel Sousa Lobo, and Stephen Boyd, Stanford University; and Herve Lebret, Organizer
**4:45 Robust Solutions to Least-Squares Problems with Uncertain Data**
- Laurent El Ghaoui and Herve Lebret, Organizers
**5:15 Stability of Householder QR Factorization for Weighted Least Squares Problems**
- Anthony J. Cox and
*Nicholas J. Higham*, University of Manchester, United Kingdom

AN97 Homepage | Program Updates|

Registration | Hotel and Dormitory Information | Transportation | Program-at-a-Glance | Program Overview

*TMP, 4/4/97*

*tjf, 5/28/97*

*MMD, 5/30/97*