Convergence Properties of an Iterative Procedure of Ipsatizing and Standardizing a Data Matrix, with Applications to Parafac/Candecomp Preprocessing
Jos M. F. ten Berge, Henk A. L. Kiers · Psychometrika · 1989
Centering a matrix row-wise and rescaling it column-wise to a unit sum of squares requires an iterative procedure. It is shown that this procedure converges to a stable solution. This solution need not be centered row-wise if the limiting point of the interations is a matrix of rank one. The results of the present paper bear directly on several types of preprocessing methods in Parafac/Candecomp.