Numerical solution of special problems of nonconvex quadratic programming
Diskretnyj analiz i issledovanie operacij, Tome 12 (2005) no. 4, pp. 81-91.

Voir la notice de l'article provenant de la source Math-Net.Ru

@article{DA_2005_12_4_a5,
     author = {O. V. Khamisov},
     title = {Numerical solution of special problems of nonconvex quadratic programming},
     journal = {Diskretnyj analiz i issledovanie operacij},
     pages = {81--91},
     publisher = {mathdoc},
     volume = {12},
     number = {4},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DA_2005_12_4_a5/}
}
TY  - JOUR
AU  - O. V. Khamisov
TI  - Numerical solution of special problems of nonconvex quadratic programming
JO  - Diskretnyj analiz i issledovanie operacij
PY  - 2005
SP  - 81
EP  - 91
VL  - 12
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DA_2005_12_4_a5/
LA  - ru
ID  - DA_2005_12_4_a5
ER  - 
%0 Journal Article
%A O. V. Khamisov
%T Numerical solution of special problems of nonconvex quadratic programming
%J Diskretnyj analiz i issledovanie operacij
%D 2005
%P 81-91
%V 12
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DA_2005_12_4_a5/
%G ru
%F DA_2005_12_4_a5
O. V. Khamisov. Numerical solution of special problems of nonconvex quadratic programming. Diskretnyj analiz i issledovanie operacij, Tome 12 (2005) no. 4, pp. 81-91. http://geodesic.mathdoc.fr/item/DA_2005_12_4_a5/

[1] Gamm A. Z., Tairova E. V., Khamisov O. V., “Poisk ravnovesnykh tochek v modelyakh rynochnykh mekhanizmov EES”, Izvestiya RAN. Energetika, 2000, no. 6, 57–63

[2] Korbut A. A., Finkelshtein Yu. Yu., Diskretnoe programmirovanie, Nauka, M., 1969 | MR | Zbl

[3] Shor N. Z., Stetsenko S. I., Kvadratichnye ekstremalnye zadachi i nedifferentsiruemaya optimizatsiya, Naukova dumka, Kiev, 1989 | Zbl

[4] Brook A., Kendrick D., Meeraus A., GAMS. Release 2.25. A user's guide, GAMS Development Corporation, 1996

[5] Floudas C. A., Visweswaran V., “Quadratic optimization”, Handbook of global optimization, Kluwer Academic Publishers, Dordrecht, 1995, 217–263 | MR

[6] Floudas C. A., Pardalos P. M., A collection of test problems for constrained global optimization algorithms, Lecture Notes in Computer Science, 455, Springer-Verlag, Berlin, 1990 | MR | Zbl

[7] GAMS. The solver manuals. OSL., GAMS Development Corporation, 1996

[8] Hirriart-Urruty J.-B., Lemareshal C., Convex analysis and minimization algorithms, I, Springer-Verlag, Berlin, 1993 | MR

[9] Horst R., Pardalos P. M., Thoai N. V., Introduction to global optimization, Kluwer Academic Publishers, Dordrecht, 1995 | MR

[10] Horst R., Tuy H., Global optimization. Deterministic approaches, Springer, Berlin, 1996 | MR

[11] Konno H., Thach P. T., Tuy H., Optimization on low rank nonconvex structures, Kluwer Academic Publishers, Dordrecht, 1996 | MR

[12] Pardalos P. M., Rosen J. B., Constrained global optimization: algorithms and applications, Lecture Notes in Computer Science, 268, Springer-Verlag, Berlin, 1987 | MR | Zbl

[13] Pardalos P. M., Vavasis S., “Quadratic programming with one negative eigenvalue is NP-hard”, J. Glob. Optim., 1:1 (1991), 15–22 | DOI | MR | Zbl

[14] Tuy H., “D.C. optimization: Theory, methods and applications”, Handbook of global optimization, Kluwer Academic Publishers, Dordrecht, 1995, 149–216 | MR | Zbl

[15] Vavasis S., Nonlinear optimization. Complexity issues, Oxford University Press, Oxford, 1991 | MR | Zbl