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A Note on Partitioned Determinants

Published online by Cambridge University Press:  01 January 2025

Jan de Leeuw
Jan de Leeuw*
Affiliation:
University of Leiden
*
Requests for reprints should be sent to Jan de Leeuw, Department of Data Theory FSW/RUL, Breestraat 70, 2311 CS Leiden, The Netherlands.
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Abstract

A formula for the determinant of a partitioned matrix, possibly with singular submatrices, is derived and applied to some psychometric and numerical problems.

Keywords

determinantseigenvaluesProcrustus rotationcanonical analysis
Type
Notes And Comments
Information
Psychometrika , Volume 47 , Issue 4 , December 1982 , pp. 531 - 534
Copyright
Copyright © 1982 The Psychometric Society

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References

Reference Notes

Ouellette, D. V. Schur complements and statistics, 1978, Montreal: Department of Mathematics, McGill University.Google Scholar
Van de Geer, J. P. Varieties of the canonical solution. Unpublished paper, Department of Data Theory, University of Leiden, 1981.Google Scholar

References

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