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Zbl 0735.90044
Megiddo, Nimrod
On the complexity of linear programming.
(English)
[A] Advances in economic theory, Pap. World Congr. Econ. Soc., Cambridge/MA (USA) 1985, Econ. Soc. Monogr. 12, 225-268 (1989).

Summary: [For the entire collection see Zbl 0732.00024.]\par This is a partial survey of results on the complexity of the linear programming problem since the ellipsoid method. The main topics are polynomial and strongly polynomial algorithms, probabilistic analysis of simplex algorithms, and recent interior point methods.
MSC 2000:
*90C05 Linear programming
90C60 Abstract computational complexity for math. programming problems
90-02 Research monographs (optimization)

Keywords: survey; ellipsoid method; strongly polynomial algorithms; probabilistic analysis; interior point methods

Citations: Zbl 0732.00024

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Highlights
Scientific prize winners of the ICM 2010
Overhang
Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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