A Generalized Solution of the Orthogonal Procrustes Problem | Psychometrika | Cambridge Core (original) (raw)

Abstract

A solution_T_ of the least-squares problem _AT_=B + E, given A and B so that trace (E′E)= minimum and _T′T_= I is presented. It is compared with a less general solution of the same problem which was given by Green [5]. The present solution, in contrast to Green's, is applicable to matrices A and B which are of less than full column rank. Some technical suggestions for the numerical computation of T and an illustrative example are given.

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