| Title:
|
A unified optimality condition for eigenvalue problems (English) |
| Author:
|
Liu, W. B. |
| Author:
|
Rubio, J. E. |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
29 |
| Issue:
|
3 |
| Year:
|
1993 |
| Pages:
|
249-255 |
| . |
| Category:
|
math |
| . |
| MSC:
|
35B37 |
| MSC:
|
35P99 |
| MSC:
|
49J52 |
| MSC:
|
49K27 |
| MSC:
|
49Q10 |
| MSC:
|
49R05 |
| idZBL:
|
Zbl 0790.49026 |
| idMR:
|
MR1231870 |
| . |
| Date available:
|
2009-09-24T18:40:25Z |
| Last updated:
|
2012-06-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125105 |
| . |
| Reference:
|
[1] A. S. Bratus, S. Seiranian: Bimodel solutions in eigenvalue optimization problems.Appl. Math. Mech. 43 (1983), 451-457. MR 0775092 |
| Reference:
|
[2] A. S. Bratus: Condition of extremum for eigenvalues of some elliptic boundary value problems.J. Optim. Theory Appl. 68 (1991), 423-437. MR 1097311 |
| Reference:
|
[3] F. Clarke: Optimization and Nonsmooth Analysis.J. Wiley, New York 1983. Zbl 0582.49001, MR 0709590 |
| Reference:
|
[4] K. Choi, E. J. Haug: Optimization of structures with repeated eigenvalues.In: Optimal Design of Distributed Structures (E. J. Haug and J. Cea, eds.), Sijthoff-Noordhoff, Leyden 1981, pp. 219-277. Zbl 0543.73117, MR 0690966 |
| Reference:
|
[5] S. J. Cox, M. L. Overton: On the optimal design of columns against buckling.Preprint of Rice university 1990, TR90-13. MR 1147865 |
| Reference:
|
[6] M. Delfour, J. P. Zolesio: Shape sensitivity analysis via min max differentiability.SIAM J. Control Optim. 26 (1988), 835-863. Zbl 0654.49010, MR 0948649 |
| Reference:
|
[7] Z. Z. Guang, G. C. Zhang: Linear Functional Analysis.Science Press of Shangai, Shanghai 1979 (in Chinese). |
| Reference:
|
[8] E. J. Haug, B. Rousselet: Design sensitivity of eigenvalue variations.In: Optimal Design of Distributed Structures (E. J. Haug and J. Cea, eds.), Sijthoff-Noordhoff, Leyden 1981, pp. 1370-1396. |
| Reference:
|
[9] A. D. loffe: Necessary and sufficient conditions for a local minimum I.SIAM J. Control Optim. 17 (1979), 245-250. MR 0525025 |
| Reference:
|
[10] F. Lempio, H. Maurer: Differential stability in infinite-dimensional nonlinear programming.Appl. Math. Optim. 6 (1980), 139-152. Zbl 0426.90072, MR 0563531 |
| Reference:
|
[11] E. Masur: Optimal structural design under multiple eigenvalue constraints.Internat. J. Solids and Structures 20 (1984), 211-231. Zbl 0544.73117, MR 0735699 |
| Reference:
|
[12] N. Olhoff, S. Rasmussen: On single and bimodal optimum buckling loads of clamped columns.Internat. J. Solids and Structures 75 (1977), 605-614. Zbl 0357.73041 |
| Reference:
|
[13] I. Tadjbakhsh, J. Keller: Strongest columns and isoperimetric inequalities for eigenvalues.J. Appl. Mech. 29 (1962), 159-164. Zbl 0106.38301, MR 0137381 |
| Reference:
|
[14] J. P. Zalesio: Semi-derivatives of repeated eigenvalues.In: Optimal Design of Distributed Structures (E.J. Haug and J. Cea, eds.), Sijthoff-Noordhoff, Leyden 1981, pp. 1457-1473. |
| . |
