The symmetric matric equation X n X 1 A X 1 X n = B .

Nick Mousouris; A.Duane Porter

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1977)

  • Volume: 62, Issue: 2, page 126-130
  • ISSN: 0392-7881

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Mousouris, Nick, and Porter, A.Duane. "The symmetric matric equation $X^{\prime}_{n} \cdots X^{\prime}_{1} AX_{1} \cdots X_{n} = B$.." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 62.2 (1977): 126-130. <http://eudml.org/doc/290172>.

@article{Mousouris1977,
author = {Mousouris, Nick, Porter, A.Duane},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {eng},
month = {2},
number = {2},
pages = {126-130},
publisher = {Accademia Nazionale dei Lincei},
title = {The symmetric matric equation $X^\{\prime\}_\{n\} \cdots X^\{\prime\}_\{1\} AX_\{1\} \cdots X_\{n\} = B$.},
url = {http://eudml.org/doc/290172},
volume = {62},
year = {1977},
}

TY - JOUR
AU - Mousouris, Nick
AU - Porter, A.Duane
TI - The symmetric matric equation $X^{\prime}_{n} \cdots X^{\prime}_{1} AX_{1} \cdots X_{n} = B$.
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1977/2//
PB - Accademia Nazionale dei Lincei
VL - 62
IS - 2
SP - 126
EP - 130
LA - eng
UR - http://eudml.org/doc/290172
ER -

References

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  1. BAILEY, W. N. (1935) - Generalized Hypergeometric Series, Cambridge. Zbl0011.02303MR185155
  2. CARLITZ, L. - Representations by Quadratic Forms in a Finite Field , «Duke Math. J.», 21, 123-138. MR59952
  3. DICKSON, L. E. (1901) - Linear Groups, Leipzig. Zbl32.0134.03
  4. John HODGES, H. (1956) - Exponential Sums for Symmetric Matrices in a Finite Field, «Mathematische Nachrichten», 15, 331-339. MR81872DOI10.1002/mana.19550140411
  5. HODGES, John H. (1965) - A Symmetric Matrix Equation Over a Finite Field, «Mathematische Nachrichten», 30, 221-228. MR188236DOI10.1002/mana.19650300309
  6. George LANDSBERG (1893) - Über eine Anzahlbestimmung und eine Damit Zusammenhägende Reihe, «Journal für die Reinë und Angewandte Mathematik», 111, 87-88. MR1580299DOI10.1515/crll.1893.111.87
  7. DUANE PORTER, A. and ALLAN RIVELAND, A. (1975) - A Generalized Skew Equation Over a Finite Field, «Mathematische Nachrichten», 69, 291-296. Zbl0282.15008MR393076DOI10.1002/mana.19750690126
  8. ALLAN RIVELAND, A. and DUANE PORTER, A. - X n X 1 A X 1 X n = B , «Rend. Accademia Nazionale dei Lincei» (to appear). 

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