CSC 2411 - Linear Programming and Combinatorial Optimization ∗ Lecture 9 : Ellipsoid Algorithm ( Contd
نویسنده
چکیده
The ellipsoid algorithm tells us that given these oracles to a problem, guarantees of not too large of an initial search space, and not too small of a possible volume for P = 0, we get a polynomial solution. With this observation, we may hope to achieve polynomial algorithms to certain LP with many more constraints than the natural parameters of the problem. Specifically, if m, the number of constraints, is exponential in the number of variables n, and the entries of A, b, and c are not big in terms of n, we may still get a polynomial algorithm in n as long as we have a separation oracle.
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