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On a theorem stated by Eckart and Young. (English) Zbl 0145.25104


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[1] Courant, R. and Hilbert, D.Methoden der Mathematischen Physik. Berlin: Julius Springer, 1924.
[2] Eckart, C. and Young, G. The approximation of one matrix by another of lower rank.Psychometrika, 1936,1, 211–218. · JFM 62.1075.02 · doi:10.1007/BF02288367
[3] Horst, P.Matrix algebra for social scientists. New York: Holt, Rinehart and Winston, Inc., 1963. · Zbl 0121.26103
[4] Keller, J. B. Factorization of matrices by least squares.Biometrika, 1962,49, 239–242. · Zbl 0106.34402
[5] MacDuffee, C. C.The theory of matrices. (Corrected reprint of first edition.) New York: Chelsea Publishing Co., 1946.
[6] Sylvester, J. J. On the reduction of a bilinear quantic of thenth order to the form of a sum ofn products by a double orthogonal substitution.Messenger of Mathematics, 1890,19, 42–46.
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