Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
MR ZblGolub, Gene Howard. Least squares, singular values and matrix approximations. Applications of Mathematics, Tome 13 (1968) no. 1, pp. 44-51. doi: 10.21136/AM.1968.103138
@article{10_21136_AM_1968_103138,
author = {Golub, Gene Howard},
title = {Least squares, singular values and matrix approximations},
journal = {Applications of Mathematics},
pages = {44--51},
year = {1968},
volume = {13},
number = {1},
doi = {10.21136/AM.1968.103138},
mrnumber = {0229370},
zbl = {0179.21403},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1968.103138/}
}
TY - JOUR AU - Golub, Gene Howard TI - Least squares, singular values and matrix approximations JO - Applications of Mathematics PY - 1968 SP - 44 EP - 51 VL - 13 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.21136/AM.1968.103138/ DO - 10.21136/AM.1968.103138 LA - en ID - 10_21136_AM_1968_103138 ER -
[1] C. Eckart, G. Young: The approximation of one matrix by another of lower rank. Psychometrika, 1 (1936), pp. 211-218. | DOI
[2] K. Fan, A. Hoffman: Some metric inequalities in the space of matrices. Proc. Anier. Math. Soc., 6 (1955), pp. 111-116. | DOI | MR | Zbl
[3] J. Francis: The QR transformation. A unitary analogue to the LR transformation. Comput. J., 4 (1961, 1962), pp. 265-271. | DOI | MR | Zbl
[4] G. Golub, W. Kahan: Calculating the singular values and pseudoinverse of a matrix. J. SIAM Numer. Anal. Ser. B, 2 (1965), pp. 205-224. | MR
[5] B. Green: The orthogonal approximation of an oblique structure in factor analysis. Psychometrika, 17 (1952), pp. 429-440. | DOI | MR | Zbl
[6] C. Lanczos: Linear Differential Operators. Van Nostrand, London, 1961, Chap. 3. | MR | Zbl
[7] L. Mirsky: Symmetric gauge functions and unitarily invariant norms. Quart. J. Math. Oxford (2), 11 (1960), pp. 50-59. | DOI | MR | Zbl
[8] R. Penrose: A generalized inverse for matrices. Proc. Cambridge Philos. Soc., 51 (1955), pp. 406-413. | DOI | MR | Zbl
[9] P. Schönemann: A generalized solution of the orthogonal procrustes problem. Psychometrika, 31 (1966), pp. 1-10. | DOI | MR
Cité par Sources :