Methods for Direct Representation of Asymmetry

After a brief recall to the main aspects of the graphical representation of a rectangular matrix, two classes of methods to represent proximity matrices are reviewed: bilinear and distance-like methods. The main steps for the bilinear model estimation are presented by studying the properties of the Singular Value Decomposition of a proximity matrix. The principal concepts concerning the distance models for the analysis of symmetric proximity matrices are recalled, then some distance-like methods dealing with the direct representation of the asymmetric proximities are presented. The chapter ends with two applications to real data and a software section to present some programs available for models estimation.