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An acceleration method for Ten Berge et al.’s algorithm for orthogonal INDSCAL

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  • Yoshio Takane
  • Kwanghee Jung
  • Heungsun Hwang

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  • Yoshio Takane & Kwanghee Jung & Heungsun Hwang, 2010. "An acceleration method for Ten Berge et al.’s algorithm for orthogonal INDSCAL," Computational Statistics, Springer, vol. 25(3), pages 409-428, September.
    • Handle: RePEc:spr:compst:v:25:y:2010:i:3:p:409-428
    DOI: 10.1007/s00180-010-0184-6
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    References listed on IDEAS

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    1. Douglas B. Clarkson, 1988. "A Least Squares Version of Algorithm as 211: The F‐G Diagonalization Algorithm," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 37(2), pages 317-321, June.
    2. Henry Kaiser, 1958. "The varimax criterion for analytic rotation in factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 23(3), pages 187-200, September.
    3. Henk Kiers, 1989. "An alternating least squares algorithm for fitting the two- and three-way dedicom model and the idioscal model," Psychometrika, Springer;The Psychometric Society, vol. 54(3), pages 515-521, September.
    4. Jos Berge & Henk Kiers & Wim Krijnen, 1993. "Computational solutions for the problem of negative saliences and nonsymmetry in INDSCAL," Journal of Classification, Springer;The Classification Society, vol. 10(1), pages 115-124, January.
    5. J. Carroll & Geert Soete & Sandra Pruzansky, 1989. "An evaluation of five algorithms for generating an initial configuration for SINDSCAL," Journal of Classification, Springer;The Classification Society, vol. 6(1), pages 105-119, December.
    6. Henk Kiers, 1991. "Hierarchical relations among three-way methods," Psychometrika, Springer;The Psychometric Society, vol. 56(3), pages 449-470, September.
    7. Robert Jennrich, 2001. "A simple general procedure for orthogonal rotation," Psychometrika, Springer;The Psychometric Society, vol. 66(2), pages 289-306, June.
    8. Loisel, Sébastien & Takane, Marina, 2009. "Fast indirect robust generalized method of moments," Computational Statistics & Data Analysis, Elsevier, vol. 53(10), pages 3571-3579, August.
    9. Jan Leeuw & Sandra Pruzansky, 1978. "A new computational method to fit the weighted euclidean distance model," Psychometrika, Springer;The Psychometric Society, vol. 43(4), pages 479-490, December.
    10. Jos Berge, 1984. "A joint treatment of varimax rotation and the problem of diagonalizing symmetric matrices simultaneously in the least-squares sense," Psychometrika, Springer;The Psychometric Society, vol. 49(3), pages 347-358, September.
    11. Mohammed Dosse & Jos Berge, 2008. "The Assumption of Proportional Components when Candecomp is Applied to Symmetric Matrices in the Context of Indscal," Psychometrika, Springer;The Psychometric Society, vol. 73(2), pages 303-307, June.
    12. Henk Kiers & Yoshio Takane, 1994. "A generalization of GIPSCAL for the analysis of nonsymmetric data," Journal of Classification, Springer;The Classification Society, vol. 11(1), pages 79-99, March.
    13. Jos Berge & Henk Kiers, 1991. "Some clarifications of the CANDECOMP algorithm applied to INDSCAL," Psychometrika, Springer;The Psychometric Society, vol. 56(2), pages 317-326, June.
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    Cited by:

    1. Masahiro Kuroda & Yuichi Mori & Masaya Iizuka, 2023. "Speeding up the convergence of the alternating least squares algorithm using vector $$\varepsilon $$ ε acceleration and restarting for nonlinear principal component analysis," Computational Statistics, Springer, vol. 38(1), pages 243-262, March.
    2. Takane, Yoshio, 2016. "My Early Interactions with Jan and Some of His Lost Papers," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 73(i07).
    3. Sébastien Loisel & Yoshio Takane, 2011. "Generalized GIPSCAL re-revisited: a fast convergent algorithm with acceleration by the minimal polynomial extrapolation," Advances in Data Analysis and Classification, Springer;German Classification Society - Gesellschaft für Klassifikation (GfKl);Japanese Classification Society (JCS);Classification and Data Analysis Group of the Italian Statistical Society (CLADAG);International Federation of Classification Societies (IFCS), vol. 5(1), pages 57-75, April.

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