THE ISOTROPIC SCALING PROBLEM IN GENERALIZED PROCRUSTES ANALYSIS
Gower has offered a method for updating isotropic scaling factors in the context of Generalized Procrustes Analysis. Ten Berge has shown that an explicit eigenvector solution exists for the problem at hand, and rejected Gower's method on account of its unknown convergence properties. In the present paper, the convergence properties of Gower's method are examined. It is shown that Gower's method does converge to the correct eigenvector, if a certain non-negativity assumption is satisfied. It is concluded that there is no reason to adopt Gower's procedure as an alternative to the explicit eigenvector solution.
isotropic scaling procrustes analysis central dilation