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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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Other two-sets Procrustes problems

Other two-sets Procrustes problems

Chapter:
(p.84) 7 Other two-sets Procrustes problems
Source:
Procrustes Problems
Author(s):

J. C. Gower

G. B. Dijksterhuis

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198510581.003.0007

This chapter briefly reviews other choices of T, such as when T is of given rank or is a permutation, symmetric, or positive matrix. It discusses double Procrustes problems of the form: where S and T are orthogonal. It is shown that S and T may be restricted in other ways, but these appear to be of little interest and are not discussed here.

Keywords:   two-sets Procrustes, permutations, reduced range regression

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