| Title:
|
An implementation of recursive quadratic programming variable metric methods for linearly constrained nonlinear minimax approximation (English) |
| Author:
|
Lukšan, Ladislav |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
21 |
| Issue:
|
1 |
| Year:
|
1985 |
| Pages:
|
22-40 |
| . |
| Category:
|
math |
| . |
| MSC:
|
49J35 |
| MSC:
|
49M37 |
| MSC:
|
65K05 |
| MSC:
|
90C20 |
| MSC:
|
90C30 |
| idZBL:
|
Zbl 0548.90061 |
| idMR:
|
MR788667 |
| . |
| Date available:
|
2009-09-24T17:45:05Z |
| Last updated:
|
2012-06-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125297 |
| . |
| Reference:
|
[1] R. M. Chamberlain M. J. D. Powell C. Lemarechal, H. C. Pedersen: The watchdog technique for forcing convergence in algorithms for constrained optimization.Math. Programming Study 16 (1982), 1 - 17. MR 0650626 |
| Reference:
|
[2] R. Fletcher: The calculation of feasible points for linearly constrained optimisation problems.A.E.R.E. Harwell Report No. R-6354 (1970). |
| Reference:
|
[3] R. Fletcher: Second order corrections for non-differentiable optimization.In: Numerical Analysis, Dundee 1981 (G. A. Watson ed.), Lecture Notes in Mathematics 912, Springer-Verlag, Berlin 1982. MR 0654345 |
| Reference:
|
[4] P. E. Gill, W. Murray: Safeguarded steplength algorithms for optimization using descent methods.National Physical Lab. Report No. NAC-37 (1974). |
| Reference:
|
[5] 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:
|
[6] L. Lukšan: Software package for optimization and nonlinear approximation.In: Proc. of the 2nd IFAC/IFIP Symposium on Software for Computer Control, Prague 1979. |
| Reference:
|
[7] L. Lukšan: Dual method for solving a special problem of quadratic programming as a sub-problem at linearly constrained nonlinear minimax approximation.Kybernetika 20 (1984), 6, 445-457. MR 0777979 |
| Reference:
|
[8] L. Lukšan: A compact variable metric algorithm for linearly constrained nonlinear minimax approximation.Kybernetika 21 (1985), to appear. MR 0831100 |
| Reference:
|
[9] M. J. D. Powell: A fast algorithm for nonlinearly constrained optimization calculations.In: Numerical Analysis, Dundee 1977 (G. A. Watson ed.), Lecture Notes in Mathematics 630, Springer-Verlag, Berlin 1978. MR 0483447 |
| . |
