MFD at Clemson
- Research Group on MFD
- Publications
- Cawood, M. E.; Kostreva, M. M. 1994: ``Norm-relaxed Method of
Feasible Directions for Solving Nonlinear Programming Problems'', Journal
of Optimization Theory and Applications , Vol. 83, No. 2, 311-320,1994.
- Chen, X.. 1999: Methods of Feasible Directions for Nonlinear
Programming:Theory and Algorithms , Ph. D. dissertation, Department of Mathematical Sciences,
Clemson University, August, 1999.
- Chen, X.; Kostreva, M. M. 1998: ``Methods for Finding Feasible
Points in Norm-Relaxed Method of Feasible Directions (MFD)'',
Proceedings of the Fourth International Conference on Optimization:
Techniques and Applications , July 1-3, 1998. Perth, Australia,pp.1127-1134.
- Chen, X.; Kostreva, M. M., ``Global Convergence Analysis
of the Algorithms for Finding Feasible Points in Norm-Relaxed MFD'',
Journal of Optimization Theory and Applications,Vol.100, No.2,
287-309, 1999.
- Chen, X.; Kostreva, M. M., ``Methods of Feasible Directions:
A Review'', Progress in Optimization, X.Yang et al. (eds.), Kluwer
Academic Publishers, Norwell, MA, 205-219, 2000.
- Chen, X.; Kostreva, M. M.: ``A Generalization of the
Norm-Relaxed Method of Feasible Directions'', Applied
Mathematics and Computation, Vol.102, No.2-3, 257-272, 1999.
- Korycki, J. A. 1995: Norm-relaxed Method of Feasible
Directions , Ph. D. dissertation, Department of Mathematical Sciences,
Clemson University, August, 1995.
- Korycki, J. A.; Kostreva, M. M. 1996: ``Convergence Analysis
of Norm-relaxed Method of Feasible Directions'', Journal of Optimization
Theory and Applications , Vol. 91, No. 2, 389-418, 1996.
- Korycki, J. A.; Kostreva, M. M. 1996: ``Norm-relaxed Method
of Feasible Directions: Application in Structural Optimization'',
Structural Optimization , Vol. 11, No. 3/4, 187-194,1996.
- Korycki, J. A.; Kostreva, M. M. 1997: ``Self-Tuning
Norm-Relaxed Method of Feasible Directions'', Journal of Optimization
Theory and Applications , Vol. 92, No. 2, 311-330,1997.
- Kostreva, M. M.; Chen, X. B.; Korycki, J. A. 1996: ``A
Norm-Relaxed Method of Feasible Directions for Solving Nonlinear Programming
Problems'', Proceedings of 6th AIAA/USAF/NASA/ISSMO Symposium on
Multidisciplinary Analysis and Optimization , Bellevue, WA, September 1996.
- Kostreva, M. M. 1989: ``Generalization of Murty's Direct
Algorithm to Linear and Convex Quadratic Programming'', Journal of
Optimization Theory and Applications , Vol. 62, pp. 63-76, 1989.
- Kostreva, M. M. and Chen, X. 1998: ``A Multi-Directional Method
of Feasible Directions'', presented at International Symposium on
Computational and Optimization Algorithms, Techniques and Applications
(in Proc. 4th International Conference on Information Systems Analysis
and Synthesis'98) , July 12 - 16, 1998. Orlando, FL, 352-358.
- Kostreva, M. M. and Chen, X.: ``Asymptotic Rate of Convergence of
SQP-Type Methods of Feasible Directions'', in Optimization Methods and Applications,
(Eds. X.Q. Yang., K.L. Teo and L. Caccetta), Kluwer Academic Publishers, 2001 pp.247-265.
- Kostreva, M. M. and Chen, X.: ``A Superlinearly Convergent Method of Feasible Directions",
Applied Mathematics and Computation 116 (2000) pp. 231-244.
-
Random Method Of Feasible Directions. Artur Gorka's site.
Back to MFD Page