Ph.D. University of Waterloo, 1988
My general research interests are numerical optimization and
scientific computation. In addition, I am interested in the
application of optimization methods to real world problems.
My current interests include generalizing the trust region theory for
unconstrained minimization to nonlinearly constrained minimization
using an affine scaling and direct minimization approach. My research
focus is on both the theoretical algorithm analysis and computational
performance. On the application front, my current research is directed
at developing efficient and reliable methods for image restoration and
- A Newton acceleration of the Weiszfeld algorithm for minimizing
the sum of Euclidean distances. Invited lecture. Optimization Days,
Montreal, Canada, May 15, 1996.
- What can optimization do for image restoration? Mathematics,
Dartmouth College, November 30, 1995.
- An interior and trust region approach for nonlinear
programming. Invited lecture. 1995 SIAM annual meeting, Charlotte,
NC, October 25, 1995.
- Minimization methods for regulating ill-posed inverse problems.
Invited lecture. Workshop on Large-scale Optimization, Minneapolis,
MN, July 1995.
- A computational algorithm for minimizing total variation in image
restoration. Special Issue: Nonlinear Image Processing, IEEE
Transactions on Image Processing, June 1996 (with F. Fantosa).
- An interior trust region approach for nonlinear minimization
subject to bounds. SIAM Journal on Optimization 6, 2 (May 1996),
418-445 (with T. F. Coleman).
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Last modified: 2 November 1996 by Denise Moore