Bibliography

1

N. Arada, J.-P. Raymond, and F. Tröltzsch.
On an augmented Lagrangian SQP method for a class of optimal control problems in Banach spaces.
Submitted to Computational Optimization and Applications, to appear.

2

R. Byrd, M.E. Hribar, and J. Nocedal.
An interior point method for large scale nonlinear programming.
SIAM J. Optimization, 9:877-900, 1999.

3

E. Casas.
Pontryagin's principle for state-constrained boundary control problems of semilinear parabolic equations.
SIAM J. Control and Optimization, 35:1

4

E. Casas and F. Tröltzsch.
Second-order necessary and sufficient optimality conditions for optimization problems and applications to control theory.
To appear.

5

E. Casas, F. Tröltzsch, and A. Unger.
Second order sufficient optimality conditions for some state-constrained control problems of semilinear elliptic equations.
SIAM J. Control and Optimization, 38(5):1369-1391, 2000.

6

R. Fourer, D.M. Gay, and B.W. Kernighan.
AMPL: A modeling language for mathematical programming.
Duxbury Press, Brooks/Cole Publishing Company, Pacific Grove, CA, 1993.

7

H.D. Mittelmann.
Verification of second-order sufficient optimality conditions for semilinear elliptic and parabolic control problems.
Comput. Optim. and Applications, to appear.

8

H.D. Mittelmann.
Sufficient optimality for discretized parabolic and elliptic control problems.
J. Comput. Appl. Math., to appear.

9

H.D. Mittelmann.
Benchmarks for Optimization Software. On the World Wide Web at
http://plato.la.asu.edu/bench.html.

10

J.-P. Raymond and F. Tröltzsch.
Second order sufficient optimality conditions for nonlinear parabolic control problems with state constraints.
Discrete and Continuous Dynamical Systems, 6:431-450, 2000.

11

J.-P. Raymond and H. Zidani.
Hamiltonian Pontryagin's principles for control problems governed by semilinear parabolic equations.
Applied Mathematics and Optimization, 39:143-177, 1999.

12

Th.H. Robey and D.L. Sulsky.
Row ordering for Sparse QR Decomposition.
SIAM J. Matrix Analysis and Applications, 15:1208-1225, 1994.

13

P. Spellucci.
Numerische Verfahren der nichtlinearen Optimierung.
Birkhäuser-Verlag, Basel, 1993.

14

R.J. Vanderbei and D.F. Shanno.
An interior-point algorithm for nonconvex nonlinear programming.
Comput. Optim. and Applications, 13:231-252, 2000.