A Consideration by Rank of the Matrix Equation A ⁢ X 1 ⁢ ⋯ ⁢ X n = B

Ronald H. Dalla; A. Duane Porter

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1972)

  • Volume: 52, Issue: 3, page 301-311
  • ISSN: 0392-7881

How to cite

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Dalla, Ronald H., and Porter, A. Duane. "A Consideration by Rank of the Matrix Equation $AX_{1} \cdots X_{n} = B$." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 52.3 (1972): 301-311. <http://eudml.org/doc/295674>.

@article{Dalla1972,
author = {Dalla, Ronald H., Porter, A. Duane},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {eng},
month = {3},
number = {3},
pages = {301-311},
publisher = {Accademia Nazionale dei Lincei},
title = {A Consideration by Rank of the Matrix Equation $AX_\{1\} \cdots X_\{n\} = B$},
url = {http://eudml.org/doc/295674},
volume = {52},
year = {1972},
}

TY - JOUR
AU - Dalla, Ronald H.
AU - Porter, A. Duane
TI - A Consideration by Rank of the Matrix Equation $AX_{1} \cdots X_{n} = B$
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1972/3//
PB - Accademia Nazionale dei Lincei
VL - 52
IS - 3
SP - 301
EP - 311
LA - eng
UR - http://eudml.org/doc/295674
ER -

References

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  1. DALLA, RONALD H. and DUANE PORTER, A., The Matrix Equation U 1 ⁢ ⋯ ⁢ U n ⁢ A ⁢ V 1 ⁢ ⋯ ⁢ V m = B Over a Finite Field, Submitted to «Mathematische Nachrichten». MR335549DOI10.1002/mana.19730570123
  2. HODGES, JOHN H., Representations by Bilinear Forms in a Finite Field, «Duke Mathematical Journal», 22, 497-510 (1955). Zbl0066.26803MR72176
  3. HODGES, JOHN H., The Matric Equation A ⁢ X = B in a Finite Field, «American Mathematical Monthly», 63, 243-244 (1956). Zbl0070.01706MR77571DOI10.2307/2310349
  4. HODGES, JOHN H., A Bilinear Matrix Equation Over a Finite Field, «Duke Mathematical Journal», 31, 661-666 (1964). Zbl0168.03203MR174552
  5. HODGES, JOHN H., A Skew Matrix Equation Over a Finite Field, «Archiv Der Mathematik», 17, 49-55 (1966). Zbl0145.25206MR190158DOI10.1007/BF01900203
  6. LANDSBERG, GEORG, Über eine Anzahlbestimmung und eine damit zusammenhängende Reihe, «Journal für die reine und angewandte Mathematik», 3, 87-88 (1893). Zbl25.0430.01MR1580299DOI10.1515/crll.1893.111.87
  7. PERLIS, SAM, Theory of Matrices. Addison-Wesley Publishing Company, Inc., Massachusetts, 1958. Zbl0046.24102
  8. PORTER, A. DUANE, The Matric Equation A ⁢ X 1 ⁢ ⋯ ⁢ X n = B , «Accademia Nazionale dei Lincei», 44, 727-732 (1968). MR245599
  9. PORTER, A. DUANE, Generalized Bilinear Forms in a Finite Field, «Duke Mathematical Journal», 37, 55-60 (1970). Zbl0203.33501MR258861
  10. RIVELAND, A. ALLAN, Counting Solutions to Certain Matrix Equations Over a Finite Field, Ph. D. Thesis, University of Wyoming, 1972. MR2622133

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