Least squares, singular values and matrix approximations

Gene Howard Golub

Aplikace matematiky (1968)

  • Volume: 13, Issue: 1, page 44-51
  • ISSN: 0862-7940

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Golub, Gene Howard. "Least squares, singular values and matrix approximations." Aplikace matematiky 13.1 (1968): 44-51. <http://eudml.org/doc/14515>.

@article{Golub1968,
author = {Golub, Gene Howard},
journal = {Aplikace matematiky},
keywords = {numerical analysis},
language = {eng},
number = {1},
pages = {44-51},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Least squares, singular values and matrix approximations},
url = {http://eudml.org/doc/14515},
volume = {13},
year = {1968},
}

TY - JOUR
AU - Golub, Gene Howard
TI - Least squares, singular values and matrix approximations
JO - Aplikace matematiky
PY - 1968
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 13
IS - 1
SP - 44
EP - 51
LA - eng
KW - numerical analysis
UR - http://eudml.org/doc/14515
ER -

References

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  1. C. Eckart, G. Young, 10.1007/BF02288367, Psychometrika, 1 (1936), pp. 211-218. (1936) Zbl62.1075.02DOI10.1007/BF02288367
  2. K. Fan, A. Hoffman, 10.1090/S0002-9939-1955-0067841-7, Proc. Anier. Math. Soc., 6 (1955), pp. 111-116. (1955) Zbl0064.01402MR0067841DOI10.1090/S0002-9939-1955-0067841-7
  3. J. Francis, 10.1093/comjnl/4.3.265, Comput. J., 4 (1961, 1962), pp. 265-271. (1961) Zbl0104.34304MR0130111DOI10.1093/comjnl/4.3.265
  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. (1965) Zbl0194.18201MR0183105
  5. B. Green, 10.1007/BF02288918, Psychometrika, 17 (1952), pp. 429-440. (1952) Zbl0049.37601MR0053057DOI10.1007/BF02288918
  6. C. Lanczos, Linear Differential Operators, Van Nostrand, London, 1961, Chap. 3. (1961) Zbl0111.08305MR0129153
  7. L. Mirsky, 10.1093/qmath/11.1.50, Quart. J. Math. Oxford (2), 11 (1960), pp. 50-59. (1960) Zbl0105.01101MR0114821DOI10.1093/qmath/11.1.50
  8. R. Penrose, 10.1017/S0305004100030401, Proc. Cambridge Philos. Soc., 51 (1955), pp. 406-413. (1955) Zbl0065.24603MR0069793DOI10.1017/S0305004100030401
  9. P. Schönemann, 10.1007/BF02289451, Psychometrika, 31 (1966), pp. 1-10. (1966) Zbl0147.19401MR0215870DOI10.1007/BF02289451

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