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A Generalized Solution of the Orthogonal Procrustes Problem
Abstract
A solution T of the least-squares problem AT=B + E, given A and B so that trace (E′E)= minimum and T′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 matrices A and B which are of less than full column rank. Some technical suggestions for the numerical computation of T and an illustrative example are given.
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Metadata
- Authors
- Schönemann, P. H.
- Venue
- Psychometrika
- Publisher
- Cambridge University Press (CUP)
- Published
- 1966-03
- Volume
- 31
- Issue
- 1
- Pages
- 1-10
- ISSN
- 0033-3123 (ISSN-L)
- 1860-0980
- OpenAlex
- W2057069782
- Cited by
- 2,040
- References
- 11
- FWCI
- 9.03
- Type
- journal article
- Language
- en
- Open access
- closed
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