Research Interests
Optimization, linear algebra, scientific computing,
and their applications
Selected Publications
- Practical Optimization (with P. Gill and W. Murray).
Academic Press, 1981.
- Numerical Linear Algebra and Opimization (with
P. Gill and W. Murray), Addison Wesley, 1991.
-
Ill-conditioning and computational error in interior
methods for nonlinear programming,
SIAM Journal on Optimization 9, 84--111, 1998.
SIAM Journal on Optimization
-
Convergence properties of the Nelder-Mead simplex algorithm in low
dimensions (with J. Lagarias, J. Reeds, and P. Wright),
SIAM Journal on Optimization 9, 112--147, 1998.
SIAM Journal on Optimization
- Interior methods for nonlinear optimization (with A. Forsgren and
P. Gill), SIAM Review 44, 525--597, 2002.
SIAM Review.
- The interior-point revolution in optimization:
history, recent developments, and lasting consequences,
Bulletin of the American Mathematical Society 42, 39--56, 2005.
AMS Bulletin.
- Convergence of the restricted Nelder--Mead algorithm in two
dimensions (with J. Lagarias and B. Poonen).
SIAM Journal on Optimization 22, 501--532, 2012.
SIAM Journal on Optimization
- Nelder, Mead, and the other simplex method.
Documenta Mathematica , special volume (``Optimization Stories''),
271--276, 2012.
Documenta Mathematica.
Selected Professional Activities
Teaching
|