The Shadow-Vertex Algorithm

Abstract

This chapter is to explain the algorithm which shall be analyzed. For our probabilistic analysis it is necessary to use a so-called dual interpretation. Most of the readers may not be familiar with that way to describe the procedure. Therefore we start with the commonly used and well-known primal interpretation. In Section 2 we repeat most of the arguments of Section 1 in the new interpretation. And in Section 3 we show how the algorithm (in dual representation) can be realized in a corresponding tableau-form. So it is clear that much of the material is of an expository nature and that a certain amount of repetitions will occur. But the often observed confusion of readers by the different interpretations may be avoided by this way.