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A monotonically convergent algorithm for orthogonal congruence rotation

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Publication:676512
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DOI10.1007/BF02294345zbMath0877.62061MaRDI QIDQ676512

Patrick J. F. Groenen, Henk A. L. Kiers

Publication date: 14 December 1997

Published in: Psychometrika (Search for Journal in Brave)


zbMATH Keywords

optimizationmatchingmajorizationProcrustes rotation


Mathematics Subject Classification ID

Factor analysis and principal components; correspondence analysis (62H25) Numerical optimization and variational techniques (65K10)


Related Items (3)

Principal Component Analysis for Non-Precise Data ⋮ Rank reduction of correlation matrices by majorization ⋮ I-scal: Multidimensional scaling of interval dissimilarities



Cites Work

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  • Correspondence analysis with least absolute residuals
  • Majorization as a tool for optimizing a class of matrix functions
  • Orthogonal Procrustes rotation maximizing congruence
  • Procrustes matching by congruence coefficients
  • Maximization of sums of quotients of quadratic forms and some generalizations
  • The orthogonal approximation of an oblique structure in factor analysis


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