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A generalized solution of the orthogonal procrustes problem

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  • Peter Schönemann

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  • Peter Schönemann, 1966. "A generalized solution of the orthogonal procrustes problem," Psychometrika, Springer;The Psychometric Society, vol. 31(1), pages 1-10, March.
  • Handle: RePEc:spr:psycho:v:31:y:1966:i:1:p:1-10
    DOI: 10.1007/BF02289451
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    References listed on IDEAS

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    1. Carl Eckart & Gale Young, 1936. "The approximation of one matrix by another of lower rank," Psychometrika, Springer;The Psychometric Society, vol. 1(3), pages 211-218, September.
    2. 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.
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    Citations

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    Cited by:

    1. J. Ramsay & Jos Berge & G. Styan, 1984. "Matrix correlation," Psychometrika, Springer;The Psychometric Society, vol. 49(3), pages 403-423, September.
    2. Robert Lissitz & Peter Schönemann & James Lingoes, 1976. "A solution to the weighted procrustes problem in which the transformation is in agreement with the loss function," Psychometrika, Springer;The Psychometric Society, vol. 41(4), pages 547-550, December.
    3. repec:hal:spmain:info:hdl:2441/32r3bq27g69st9b5njognh8a36 is not listed on IDEAS
    4. Etienne Wasmer & Cornelia Woll, 2011. "Scientific Project, SciencesPo-LIEPP Interdisciplinary research center for the evaluation of public policies," SciencePo Working papers Main hal-01069485, HAL.
    5. Ab Mooijaart & Jacques Commandeur, 1990. "A general solution of the weighted orthonormal procrustes problem," Psychometrika, Springer;The Psychometric Society, vol. 55(4), pages 657-663, December.
    6. P. Bentler, 1968. "Alpha-maximized factor analysis (alphamax): Its relation to alpha and canonical factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 33(3), pages 335-345, September.
    7. Lazhar Labiod & Mohamed Nadif, 2021. "Efficient regularized spectral data embedding," 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. 15(1), pages 99-119, March.
    8. Etienne Wasmer & Cornelia Woll, 2011. "Scientific Project, SciencesPo-LIEPP Interdisciplinary research center for the evaluation of public policies," SciencePo Working papers hal-01069485, HAL.
    9. Edmund Peay, 1988. "Multidimensional rotation and scaling of configurations to optimal agreement," Psychometrika, Springer;The Psychometric Society, vol. 53(2), pages 199-208, June.
    10. Yong Xia & Ying-Wei Han, 2014. "Partial Lagrangian relaxation for the unbalanced orthogonal Procrustes problem," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 79(2), pages 225-237, April.
    11. Lee Cooper, 1972. "A new solution to the additive constant problem in metric multidimensional scaling," Psychometrika, Springer;The Psychometric Society, vol. 37(3), pages 311-322, September.
    12. James Lingoes & Ingwer Borg, 1978. "A direct approach to individual differences scaling using increasingly complex transformations," Psychometrika, Springer;The Psychometric Society, vol. 43(4), pages 491-519, December.
    13. Peter Schönemann, 1966. "Varisim: A new machine method for orthogonal rotation," Psychometrika, Springer;The Psychometric Society, vol. 31(2), pages 235-248, June.
    14. Bert Green, 1969. "Best linear composites with a specified structure," Psychometrika, Springer;The Psychometric Society, vol. 34(3), pages 301-318, September.
    15. Peter Bentler & Jan Leeuw, 2011. "Factor Analysis via Components Analysis," Psychometrika, Springer;The Psychometric Society, vol. 76(3), pages 461-470, July.
    16. William Meredith, 1977. "On weighted procrustes and hyperplane fitting in factor analytic rotation," Psychometrika, Springer;The Psychometric Society, vol. 42(4), pages 491-522, December.

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