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Procrustes Problems$
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Procrustes Problems

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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Projection Procrustes problems

Projection Procrustes problems

Chapter:
(p.48) 5 Projection Procrustes problems
Source:
Procrustes Problems
Author(s):

J. C. Gower

G. B. Dijksterhuis

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198510581.003.0005

This chapter considers projection Procrustes where T is an orthonormal matrix P, which has an interpretation of rotating an orthogonal projection of the P 1-dimensional configuration X1 to match a P 2-dimensional configuration X2 . In the two-sided version, T1 and T2 may have Q columns where Q P 1 P 2; often, Q = min(P 1, P 2).

Keywords:   Projection Procrustes, orthonormal matrix, inner-production criterion, least squares

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