| Title:
|
A convergent algorithm for solving linear programs with an additional reverse convex constraint (English) |
| Author:
|
Muu, Lê Dung |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
21 |
| Issue:
|
6 |
| Year:
|
1985 |
| Pages:
|
428-435 |
| . |
| Category:
|
math |
| . |
| MSC:
|
49D35 |
| MSC:
|
49M37 |
| MSC:
|
65K05 |
| MSC:
|
90C05 |
| MSC:
|
90C30 |
| idZBL:
|
Zbl 0596.90081 |
| idMR:
|
MR831101 |
| . |
| Date available:
|
2009-09-24T17:49:55Z |
| Last updated:
|
2012-06-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125889 |
| . |
| Reference:
|
[1] M. Avriel, A. C. Williams: Complementary geometric programming.SIAM J. Appl. Math. /P (1970), 125-141. Zbl 0319.90035, MR 0267901 |
| Reference:
|
[2] M. Avriel, A. C. Williams: An extension of geometric programming with applications in engineering optimization.J. Engng. Math. 5 (1971), 187-194. |
| Reference:
|
[3] P. P. Bansal, S. E. Jacobsen: Characterization of local solution for a class of nonconvex programs.J. Optim. Theory Appl. 15 (1975), 127-131. MR 0401151 |
| Reference:
|
[4] R. J. Hillestad: Optimization problems subject to a budged constraint with economies of scale.Oper. Res. 23 (1975), 1091-1098. MR 0434447 |
| Reference:
|
[5] R. J. Hillestad, S. E. Jacobsen: Linear programs with an additional reverse convex constraint.Appl. Math. Optim. 6 (1980), 257-269. Zbl 0435.90065, MR 0576263 |
| Reference:
|
[6] R. J. Hillestad, S. E. Jacobsen: Reverse convex programming.Appl. Math. Optim. 6 (1980) 63-78. Zbl 0448.90044, MR 0557055 |
| Reference:
|
[7] R. Meyer: The validity of a family of optimization methods.SIAM J. Control 8 (1970), 41-54. Zbl 0194.20501, MR 0312915 |
| Reference:
|
[8] J. B. Rosen: Iterative solution of nonlinear optimal control problems.SIAM J. Control 4 (1766), 223-244. Zbl 0229.49025, MR 0189877 |
| Reference:
|
[9] N. V. Thoai, H. Tuy: Convergent algorithms for minimizing a concave function.Math. Oper. Res. 4 (1980), 556-565. Zbl 0472.90054, MR 0593646 |
| Reference:
|
[10] H. Tuy: Concave programming under linear constraints.Dokl. Akad. Nauk SSSR 159 (1964), 32-35. MR 0181465 |
| Reference:
|
[11] H. Tuy: Conical algorithm for solving a class of complementarity problems.Preprint series 18 (1981), Hanoi. Zbl 0618.90090, MR 0683317 |
| Reference:
|
[12] U. Ueing: A combinatorical method to compute a global solution of certain nonconvex optimization problems.In: Numerical Methods for Non-Linear Optimization (F. A. Lootsma ed.), pp. 223-230, Academic Press, New York 1972. MR 0429118 |
| . |
