Reference : Relating factor matrices of different dimensionality: A note on optimizing orthogonal...
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Social & behavioral sciences, psychology : Multidisciplinary, general & others
Relating factor matrices of different dimensionality: A note on optimizing orthogonal procrustes solutions
Krolak-Schwerdt, Sabine mailto [University of Luxembourg > Faculty of Language and Literature, Humanities, Arts and Education (FLSHASE) > Languages, Culture, Media and Identities (LCMI) >]
Orlik, Peter [> >]
Universität des Saarlandes: Arbeiten der Fachrichtung Psychologie
[en] Orthogonal Procrustes Problem ; unrestricted number of dimensions
[en] l'vlatching by the Procrustes method involves the transformation
of a matrix A to maximal agreement with a specified target matrix B. The
present paper is concerned with the soluti on of the 'Orthogonal Procrustes
problem' when the column orders of A and B are different. Avai lable techniques
ei ther yield nonunique solutious or the column order of one matrix has to
be adjusted by truncating or adding some columns. A new method i s advanced
which provides a unique sol,ut.ion without constraining the number of columns
of corresponding matrices. An illustrative example is given.

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