| Title:
|
Dual method for solving a special problem of quadratic programming as a subproblem at linearly constrained nonlinear minimax approximation (English) |
| Author:
|
Lukšan, Ladislav |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
20 |
| Issue:
|
6 |
| Year:
|
1984 |
| Pages:
|
445-457 |
| . |
| Category:
|
math |
| . |
| MSC:
|
65K05 |
| MSC:
|
90C20 |
| idZBL:
|
Zbl 0552.90074 |
| idMR:
|
MR777979 |
| . |
| Date available:
|
2009-09-24T17:43:42Z |
| Last updated:
|
2012-06-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/124603 |
| . |
| Reference:
|
[1] M. S. Bazaraa, C. M. Shetty: Nonlinear Programming - Theory and Algorithms.Wiley, New York 1979. Zbl 0476.90035, MR 0533477 |
| Reference:
|
[2] D. Goldfarb: Extension of Davidson's variable metric method to maximization under linear inequality and equality constraints.SIAM J. Appl. Math. 17 (1969), 4, 739-764. MR 0290799 |
| Reference:
|
[3] S. P. Han: Variable metric methods for minimizing a class of nondifferentiable functions.Math. Programming 20 (1981), 1, 1-13. Zbl 0441.90095, MR 0594019 |
| Reference:
|
[4] L. Lukšan: Variable metric methods for linearly constrained nonlinear minimax approximation.Computing 30 (1983), 3, 315-334. MR 0706672 |
| Reference:
|
[5] L. Lukšan: Dual method for solving a special problem of quadratic programming as a sub-problem at nonlinear minimax approximation.Computing (submitted for publication). |
| Reference:
|
[6] K. Madsen, H. Schjaer-Jacobsen: Linearly constrained minimax optimization.Math. Programming 14 (1978), 2, 208-223. Zbl 0375.65034, MR 0472055 |
| Reference:
|
[7] M. J. D. Powell: A fast algorithm for nonlinearly constrained optimization calculations.In: Numerical Analysis, Dundee 1977 (Lecture Notes in Mathematics 630, G. A. Watson, ed.). Springer-Verlag, Berlin-Heidelberg-New York 1978. MR 0483447 |
| Reference:
|
[8] P. Wolfe: Finding the nearest point in a polytope.Math. Programming 11 (1976), 2, 128- 149. Zbl 0352.90046, MR 0452683 |
| Reference:
|
[9] L. Lukšan: An implementation of recursive quadratic programming variable metric methods for linearly constrained nonlinear minimax approximation.Kybernetika 21 (1985), 1 (to appear). MR 0788667 |
| . |
