The inexact primal-dual interior point method which is discussed in this paper chooses a new iterate along an approximation to the Newton direction. The method is the Kojima, Megiddo, andMizuno globally convergent ...

In this paper we apply the Inexact Newton theory on the perturbed KKT-conditions that are derived from the Karush-Kuhn-Tucker optimality conditions for the standard linear optimization problem. We discuss different ...

In most interior point methods for linear programming, a sequence of weighted linear least squares problems are solved, where the only changes from one iteration to the next are the weights and the right hand side. The ...