This project is a study of bound constrained optimization problems
and nonlinear equations in infinite dimensions. The motivating applications
are mostly from optimal control. We also do work in
finite dimensions in connection with the
Implicit Filtering project.
The project is supported by
the National Science Foundation and
the US Dept of Education GAANN fellowship program.
K. R. Kavanagh, C. T. Kelley, C. T. Miller,
C. E. Kees, Robert W. Darwin, J. P. Reese, M. W. Farthing, and
Mark S. C. Reed,
Solution of a Well-Field Design Problem with Implicit Filtering
Optimization and Engineering, (5), 2004, 207-234.
C. T. Kelley and E. W. Sachs,
Truncated Newton Methods for Optimization
with Inaccurate Functions and Gradients
JOTA, 116, 2003, 83-98.
T. D. Choi, O. J. Eslinger, C. T. Kelley, J. W. David, and M. Etheridge,
Optimization of Automotive Valve Train Components with Implict
Filtering,
Optimization and Engineering. (1), 2000, 9-28.
C. T. Kelley and E. W. Sachs,
Solution of Optimal Control Problems by a
Pointwise Projected Newton Method,
SIAM J. Control Opt. (33), 1995, 477--493.
C. T. Kelley,
Identification of the Support of Nonsmoothness
in Large Scale Optimization: State of the Art ,
W. W. Hager, D. W. Hearn, and P.M. Pardalos eds, pp. 192-205.
Kluwer, Boston, 1994.
C. T. Kelley and E. W. Sachs
Multilevel algorithms for constrained compact
fixed point problems ,
SIAM J. Sci. Comp. (15), 1994, pp. 645--667.
M. Heinkenschloss, C. T. Kelley, and H. T. Tran,
Fast Algorithms for Nonsmooth Compact Fixed Point Problems ,
SIAM J. Numer. Anal. (29), 1992, pp. 1769--1792.