On effectively computing the analytic center of the solution set by primal-dual interior-point methods

The computation of the analytic center of the solution set can be important in linear programming applications where it is desirable to obtain a solution that is not near the relative boundary of the solution set. In this work we discuss the effective computation of the analytic center solution by the use of primal-dual interior-point methods. A primal-dual interior-point algorithm designed for effectively computing the analytic-center solution is proposed, and theory and numerical results are presented.