An ${\cal O}(nL)$ Infeasible-Interior-Point Algorithm for Linear Programming

Published 21 Jun 2015 in math.OC | (1506.06365v2)

Abstract: In this paper, we propose an arc-search infeasible-interior-point algorithm. We show that this algorithm is polynomial and the polynomial bound is ${\cal O}(nL)$ which is at least as good as the best existing bound for infeasible-interior-point algorithms for linear programming.

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