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A bstmct We preseni. a potential reduction algorit.hm which performs at most one rank one update at each iteration and at most O(nL) updates to solve a linear pro,~ram. This algorithm requires 0(n3 L) arithmetic operations, An important aspect of this algorithm and i';s analysis is that it does not always require the approximate scaling mEltrix to be in a certain box around the primal-dual scaling matrix.

DEFERRED RANK ONE UPDATES IN O(n_3L) INTERIOR POINT ALGORITHM