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A generalized solution of the orthogonal procrustes problem

A generalized solution of the orthogonal procrustes problem Abstract A solutionT of the least-squares problemAT=B +E, givenA andB so that trace (E′E)= minimum andT′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 matricesA andB which are of less than full column rank. Some technical suggestions for the numerical computation ofT and an illustrative example are given. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Psychometrika Springer Journals

A generalized solution of the orthogonal procrustes problem

Psychometrika , Volume 31 (1): 10 – Mar 1, 1966

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References (17)

Publisher
Springer Journals
Copyright
1966 Psychometric Society
ISSN
0033-3123
eISSN
1860-0980
DOI
10.1007/BF02289451
Publisher site
See Article on Publisher Site

Abstract

Abstract A solutionT of the least-squares problemAT=B +E, givenA andB so that trace (E′E)= minimum andT′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 matricesA andB which are of less than full column rank. Some technical suggestions for the numerical computation ofT and an illustrative example are given.

Journal

PsychometrikaSpringer Journals

Published: Mar 1, 1966

Keywords: Psychometrics; Assessment, Testing and Evaluation; Statistics for Social Sciences, Humanities, Law; Statistical Theory and Methods

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