Lectures 8 ( part ) , 9 and 10 ( part )
نویسنده
چکیده
The Ellipsoid algorithm was developed by (formerly) Soviet mathematicians (Shor (1970), Yudin and Nemirovskii (1975)). Khachian (1979) proved that it provides a polynomial time algorithm for linear programming. The average behavior of the Ellipsoid algorithm is too slow, making it not competitive with the simplex algorithm. However, the theoretical implications of the algorithm are very important, in particular, providing the first proof that linear programming (and a host of other problems) are in P.
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