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Procrustes Problems$
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John C Gower and Garmt B Dijksterhuis

Print publication date: 2004

Print ISBN-13: 9780198510581

Published to Oxford Scholarship Online: September 2007

DOI: 10.1093/acprof:oso/9780198510581.001.0001

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Two-set Procrustes problems—generalities

Two-set Procrustes problems—generalities

Chapter:
(p.20) 3 Two-set Procrustes problems—generalities
Source:
Procrustes Problems
Author(s):

J. C. Gower

G. B. Dijksterhuis

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198510581.003.0003

This chapter is concerned with the two-set Procrustes problem in its one-sided form and in its two-sided form. It starts by discussing two-set criteria with general forms of T. It also considers problems of translating X1 and X2 , pointing out that in this book, it is nearly always assumed that X1 and X2 are translated to a common origin, which is most conveniently achieved by arranging that both matrices have zero column sums.

Keywords:   Procrustes problems, one-sided form, two-sided form

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