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A monotonically convergent algorithm for orthogonal congruence rotation


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  • Henk Kiers
  • Patrick Groenen


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Bibliographic Info

Article provided by Springer in its journal Psychometrika.

Volume (Year): 61 (1996)
Issue (Month): 2 (June)
Pages: 375-389

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Handle: RePEc:spr:psycho:v:61:y:1996:i:2:p:375-389

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Keywords: optimization; majorization; matching; Procrustes rotation;


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  1. Bruce Korth & L.R Tucker, 1976. "Procrustes matching by congruence coefficients," Psychometrika, Springer, vol. 41(4), pages 531-535, December.
  2. Heiser, Willem J., 1987. "Correspondence analysis with least absolute residuals," Computational Statistics & Data Analysis, Elsevier, vol. 5(4), pages 337-356, September.
  3. Bert Green, 1952. "The orthogonal approximation of an oblique structure in factor analysis," Psychometrika, Springer, vol. 17(4), pages 429-440, December.
  4. Norman Cliff, 1966. "Orthogonal rotation to congruence," Psychometrika, Springer, vol. 31(1), pages 33-42, March.
  5. Henk Kiers, 1990. "Majorization as a tool for optimizing a class of matrix functions," Psychometrika, Springer, vol. 55(3), pages 417-428, September.
  6. Frank Brokken, 1983. "Orthogonal procrustes rotation maximizing congruence," Psychometrika, Springer, vol. 48(3), pages 343-352, September.
  7. Martin Koschat & Deborah Swayne, 1991. "A weighted procrustes criterion," Psychometrika, Springer, vol. 56(2), pages 229-239, June.
  8. Frank Brokken, 1985. "The simultaneous maximization of congruence for two or more matrices under orthogonal rotation," Psychometrika, Springer, vol. 50(1), pages 51-56, March.
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Cited by:
  1. Pietersz, R. & Groenen, P.J.F., 2004. "Rank reduction of correlation matrices by majorization," Econometric Institute Research Papers EI 2004-11, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
  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, vol. 70(4), pages 799-801, December.
  4. 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.
  5. van Deun, K. & Groenen, P.J.F., 2003. "Majorization algorithms for inspecting circles, ellipses, squares, rectangles, and rhombi," Econometric Institute Research Papers EI 2003-35, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.


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