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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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Oblique Procrustes problems

Oblique Procrustes problems

Chapter:
(p.73) 6 Oblique Procrustes problems
Source:
Procrustes Problems
Author(s):

J. C. Gower

G. B. Dijksterhuis

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198510581.003.0006

This chapter considers oblique Procrustes problems where T is, or is a function of, a direction cosine matrix C. There are four possibilities and a new unified approach is developed, which determines the optimal direction of one axis conditional on the directions of the other axes. For all four methods, one iterates over all axes until convergence. All the cases have clear geometrical interpretations.

Keywords:   oblique Procrustes, axis, projection, iteration

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