An implementation of the method of analytic centers

In this report we present an implementation of a new method for the solution of convex programming problems based on the use of a homotopy path leading to an optimal solution through analytic centers. With a number of numerical test results on linear programming problems we indicate that this method has a favorable convergence behaviour and a substantial acceleration can be achieved by using a suitable (higher than first or second order) extrapolation for following the homotopy path.