Approximation d’une matrice non inversible par une matrice inversible et D -inverse

A. Qannari; E. M. Qannari

RAIRO - Operations Research - Recherche Opérationnelle (1993)

  • Volume: 27, Issue: 3, page 319-335
  • ISSN: 0399-0559

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Qannari, A., and Qannari, E. M.. "Approximation d’une matrice non inversible par une matrice inversible et $D$-inverse." RAIRO - Operations Research - Recherche Opérationnelle 27.3 (1993): 319-335. <http://eudml.org/doc/105064>.

@article{Qannari1993,
author = {Qannari, A., Qannari, E. M.},
journal = {RAIRO - Operations Research - Recherche Opérationnelle},
keywords = {-inverse matrix; Hilbert-Schmidt norm; matrix approximation; ill- conditioned matrix},
language = {fre},
number = {3},
pages = {319-335},
publisher = {EDP-Sciences},
title = {Approximation d’une matrice non inversible par une matrice inversible et $D$-inverse},
url = {http://eudml.org/doc/105064},
volume = {27},
year = {1993},
}

TY - JOUR
AU - Qannari, A.
AU - Qannari, E. M.
TI - Approximation d’une matrice non inversible par une matrice inversible et $D$-inverse
JO - RAIRO - Operations Research - Recherche Opérationnelle
PY - 1993
PB - EDP-Sciences
VL - 27
IS - 3
SP - 319
EP - 335
LA - fre
KW - -inverse matrix; Hilbert-Schmidt norm; matrix approximation; ill- conditioned matrix
UR - http://eudml.org/doc/105064
ER -

References

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  1. 1. T. W. ANDERSON, An Introduction to Multivariate Statistical Analysis, Wiley & Sons, 1984. Zbl0651.62041MR771294
  2. 2. J. BOUZITAT, F. FOURGEAUD et B. LENCLUD, Inverses généralisées de matrices, définitions et propriétés, Cahier du Groupe de Mathématiques Économiques, 1980, Univ. Paris-I, 3. 
  3. 3. P. G. CIARLET, Introduction à l'analyse numérique matricielle et à l'optimisation, Masson, 1982. Zbl0488.65001MR680778
  4. 4. R. R. HOCKING, The Analysis and Selection of Variables in Linear Regression, Biometrics, 82, 1976, p. 1-49. Zbl0328.62042MR398008
  5. 5. D. W. MARQUARDT, Generalized Inverses, Ridge Regression, Biased Linear Estimation and Nonlinear Estimation, Technometrics, 12, 1970, p. 591-612. Zbl0205.46102
  6. 6. D. S. MOORE, Generalized Inverse, Wald's Method, and the Construction of Chi Squared Tests of Fit, Journal of the American Statistical Association, 72, 1937, p. 131-137. Zbl0352.62017MR451521
  7. 7. R. PENROSE, A Generalized Inverse for Matrices, Proceedings of the Cambridge Phylosophical Society, 51, 1955, p. 406-413. Zbl0065.24603MR69793
  8. 8. R. C. RAO, Separation Theorems for Singular Values of Matrices and their Applications in Multivariate Analysis, Journal of Multivariate Analysis, 1979, p. 362-377. Zbl0445.62069MR548787

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