Details of Research Outputs

We give an O(log n) bound for the expectation of the logarithm of the condition number K(A, b, c) introduced in "Solving Linear Programs with Finite Precision: I. Condition Numbers and Random Programs" [Math. Program., 99 (2004), pp. 175-196]. This bound improves the previously existing bound, which was of O(n), and yields average-case bounds for both the required precision and the complexity of computing an optimal basis (or a pair of primal-dual optimizers). © 2013 Society for Industrial and Applied Mathematics.