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A monotonically convergent algorithm for orthogonal congruence rotation

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  • Henk Kiers
  • Patrick Groenen

Abstract

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Suggested Citation

  • Henk Kiers & Patrick Groenen, 1996. "A monotonically convergent algorithm for orthogonal congruence rotation," Psychometrika, Springer;The Psychometric Society, vol. 61(2), pages 375-389, June.
  • Handle: RePEc:spr:psycho:v:61:y:1996:i:2:p:375-389
    DOI: 10.1007/BF02294345
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    References listed on IDEAS

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    1. Norman Cliff, 1966. "Orthogonal rotation to congruence," Psychometrika, Springer;The Psychometric Society, vol. 31(1), pages 33-42, March.
    2. Frank Brokken, 1985. "The simultaneous maximization of congruence for two or more matrices under orthogonal rotation," Psychometrika, Springer;The Psychometric Society, vol. 50(1), pages 51-56, March.
    3. Bert Green, 1952. "The orthogonal approximation of an oblique structure in factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 17(4), pages 429-440, December.
    4. Heiser, Willem J., 1987. "Correspondence analysis with least absolute residuals," Computational Statistics & Data Analysis, Elsevier, vol. 5(4), pages 337-356, September.
    5. Henk Kiers, 1990. "Majorization as a tool for optimizing a class of matrix functions," Psychometrika, Springer;The Psychometric Society, vol. 55(3), pages 417-428, September.
    6. Martin Koschat & Deborah Swayne, 1991. "A weighted procrustes criterion," Psychometrika, Springer;The Psychometric Society, vol. 56(2), pages 229-239, June.
    7. Bruce Korth & L.R Tucker, 1976. "Procrustes matching by congruence coefficients," Psychometrika, Springer;The Psychometric Society, vol. 41(4), pages 531-535, December.
    8. Frank Brokken, 1983. "Orthogonal procrustes rotation maximizing congruence," Psychometrika, Springer;The Psychometric Society, vol. 48(3), pages 343-352, September.
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    Citations

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    Cited by:

    1. Raoul Pietersz & Patrick Groenen, 2004. "Rank reduction of correlation matrices by majorization," Quantitative Finance, Taylor & Francis Journals, vol. 4(6), pages 649-662.
    2. Groenen, P.J.F. & Winsberg, S. & Rodriguez, O. & Diday, E., 2005. "SymScal: symbolic multidimensional scaling of interval dissimilarities," Econometric Institute Research Papers EI 2005-15, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    3. Jos Berge, 2005. "J.C. Gower and G.B. Dijksterhuis.Procrustes problems. New York: Oxford University Press," Psychometrika, Springer;The Psychometric Society, vol. 70(4), pages 799-801, December.
    4. K. Van Deun & P. J. F. Groenen, 2005. "Majorization Algorithms for Inspecting Circles, Ellipses, Squares, Rectangles, and Rhombi," Operations Research, INFORMS, vol. 53(6), pages 957-967, December.
    5. Groenen, P.J.F. & Winsberg, S. & Rodriguez, O. & Diday, E., 2006. "I-Scal: Multidimensional scaling of interval dissimilarities," Computational Statistics & Data Analysis, Elsevier, vol. 51(1), pages 360-378, November.

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