The pair of matrix equations A X = B and A * Y + C X = D

Jerzy K. Baksalary

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1982)

  • Volume: 73, Issue: 5, page 81-88
  • ISSN: 0392-7881

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Baksalary, Jerzy K.. "The pair of matrix equations $AX = B$ and $A^{*}Y + CX = D$." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 73.5 (1982): 81-88. <http://eudml.org/doc/289166>.

@article{Baksalary1982,
author = {Baksalary, Jerzy K.},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {eng},
month = {11},
number = {5},
pages = {81-88},
publisher = {Accademia Nazionale dei Lincei},
title = {The pair of matrix equations $AX = B$ and $A^\{*\}Y + CX = D$},
url = {http://eudml.org/doc/289166},
volume = {73},
year = {1982},
}

TY - JOUR
AU - Baksalary, Jerzy K.
TI - The pair of matrix equations $AX = B$ and $A^{*}Y + CX = D$
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1982/11//
PB - Accademia Nazionale dei Lincei
VL - 73
IS - 5
SP - 81
EP - 88
LA - eng
UR - http://eudml.org/doc/289166
ER -

References

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  1. Baksalary, J.K. and Kala, R. (1978) - Relationships between some representations of the best linear unbiased estimator in the general Gauss-Markoff model, «SIAM J. Appl. Math.», 35, 515-520. Zbl0398.62062MR507953DOI10.1137/0135043
  2. Ben-Israel, A. and Greville, T.N.E. (1974) - Generalized Inverses: Theory and Applications, John Wiley, New York. Zbl0305.15001MR396607
  3. Cline, R.E. and Greville, T.N.E. (1970) - An extension of the generalized inverse of a matrix, «SIAM J. Appl. Math.», 19, 682-688. Zbl0236.15010MR269670
  4. Marsaglia, G. and Styan, G.P.H. (1974) - Equalities and inequalities for ranks of matrices, «Linear and Multilinear Algebra», 2, 269-292. Zbl0297.15003MR384840
  5. Pringle, R.M. and Rayner, A.A. (1971) - Generalized Inverse Matrices with Applications to Statistics, Griffin, London. Zbl0231.15008MR314860
  6. Rao, C.R. (1974) - Projectors, generalized inverses and the BLUE's, «J. Roy. Statist. Soc. Ser. B», 36, 442-448. Zbl0291.62077MR365926
  7. Rao, C.R. and Mitra, S.K. (1971) - Generalized Inverse of Matrices and its Applications, John Wiley, New York. Zbl0236.15004MR338013
  8. Valerio, V. (1976) - Sulle inverse generalizzate e sulla risoluzione di particolari sistemi di equazioni lineari, con applicazione al calcolo delle strutture reticolari, «Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur.», 60, 84-89. Zbl0361.15007MR460357

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