@article{PMFA_2004_49_3_a6,
author = {Halick\'a, Margar\'eta},
title = {Dvadsa\v{t} rokov modern\'ych met\'od vn\'utorn\'eho bodu},
journal = {Pokroky matematiky, fyziky a astronomie},
pages = {234--244},
year = {2004},
volume = {49},
number = {3},
zbl = {1265.90209},
language = {sk},
url = {http://geodesic.mathdoc.fr/item/PMFA_2004_49_3_a6/}
}
Halická, Margaréta. Dvadsať rokov moderných metód vnútorného bodu. Pokroky matematiky, fyziky a astronomie, Tome 49 (2004) no. 3, pp. 234-244. http://geodesic.mathdoc.fr/item/PMFA_2004_49_3_a6/
[1] Dikin, I.: An iterative solution of problems of linear and quadratic programming. Doklady AN SSSR 174 (1967), 747–751. | MR
[2] Fiacco, A., Mc-Cormick, G.: Nonlinear Programming: Sequential unconstrained minimization techniques. John Wiley and Sons, Inc., New York 1968. | MR
[3] Frisch, K. R.: The logarithmic potential method of convex programming. University Institute of Economics, Memorandum, Oslo, Norway 1955.
[4] Gill, P., Murray, W., Saunders, M., Tomlin, J., Wright, M.: On projected Newton barrier methods for linear programming and an equivalence to Karmarkar’s projective method. Math. Programming 36 (1986), 183–209. | DOI | MR | Zbl
[5] Huard, P.: Resolution of mathematical programming with nonlinear constraints by the method of centers. In Nonlinear Programming, J. Abadie, ed., North-Holland, Amsterdam 1967. | MR
[6] Interior-Point Archive. URL: http://www.mcs.anl.gov/otc/InteriorPoint
[7] Karmarkar, N.: A new polynomialtime algorithm for linear programming. Combinatorica 4 (1984), 373–395. | DOI | MR
[8] Khachian, L. G.: A polynomial algorithm in linear programming. Doklady AN SSSR 244 (1979), 1093–1096. | MR
[9] Klee, V., Minty, G.: How good is the simplex algorithm?. In: O. Shisha, ed., “Inequalities-III”. Academic Press, New York 1972. | MR | Zbl
[10] Lawler, E. L.: Velký matematický sputnik roku 1979. PMFA 27 (1982), 39–47. | MR
[11] Lovász, L.: Je nový algoritmus lineárního programování lepší nebo horší než simplexová metóda?. PMFA 26 (1981), 193–202.
[12] Nesterov, Y. E., Nemirovsky, A. S.: Interior Point Polynomial Algorithms in Convex Programming. SIAM Publications, Philadelphia, USA, 1994. | MR
[13] Optimization Online. URL: http://www.optimization-online.org | Zbl
[14] Vanderbei, R. J.: Linear Programming. Foundations and Extensions. Kluwer Academic Publishers, Boston/London/Dortrecht 1997. Elektronicky prístupné na http://www.princeton.edu/ rvdb/LPbook/index.html | MR
[15] Wright, M. H.: The interior-point revolution in constrained optimization. In: R. DeLeone, A. Murli, P. M. Pardalos, G. Toraldo: High-Performance Algorithms and Software in Nonlinear Optimization, 359–381, Kluwer Academic Publishers 1998. | MR | Zbl