A full-Newton step interior-point algorithm based on modified Newton direction

► The central path plays a very important role in interior-point methods. ► By an equivalent reformulation of the central path, we obtain a new search direction. ► The new direction targets a small neighborhood of the central path. ► Based on this search direction, we present a full-Newton step interior-point algorithm. ► The complexity bound of the algorithm is the best known for linear optimization.