Abstract

This note is about one corner of mathematics that is still recovering from 1984. A lot was predicted for that year, but I doubt that Orwell expected much of a revolution in linear programming. Nevertheless it happened--and he would have approved. The challenge to authority was very direct. Narendra Karmarkar of ATT we do not know which constraints are active, with xj = 0 at the solution, and which are inactive. To try all combinations would be impossible. The natural idea in a nonlinear problem (it is the inequal

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