Journal of Nonlinear Mathematical Physics

Volume 18, Issue 2, June 2011, Pages 179 - 182

A Note on the Gauss Decomposition of the Elliptic Cauchy Matrix

Authors
L. Fehér
Department of Theoretical Physics, MTA KFKI RMKI, Konkoly Thege M. u. 29-33, Budapest, H-1121, Hungary
Department of Theoretical Physics, University of Szeged, Tisza Lajos krt 84-86, Szeged, H-6720, Hungary,lfeher@rmki.kfki.hu
C. Klimčík
Institut de Mathématiques de Luminy, Avenue de Luminy 163, Marseille, F-13288, France,ctirad.klimcik@univmed.fr
S. Ruijsenaars
Department of Applied Mathematics, University of Leeds, Leeds, LS2 9JT, UK,siru@maths.leeds.ac.uk
Received 29 November 2010, Accepted 27 December 2010, Available Online 7 January 2021.
DOI
10.1142/S1402925111001477How to use a DOI?
Keywords
Elliptic cauchy matrix; Cauchy determinant; Gauss decomposition
Abstract

Explicit formulas for the Gauss decomposition of elliptic Cauchy type matrices are derived in a very simple way. The elliptic Cauchy identity is an immediate corollary.

Copyright
© 2011 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
18 - 2
Pages
179 - 182
Publication Date
2021/01/07
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.1142/S1402925111001477How to use a DOI?
Copyright
© 2011 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - L. Fehér
AU  - C. Klimčík
AU  - S. Ruijsenaars
PY  - 2021
DA  - 2021/01/07
TI  - A Note on the Gauss Decomposition of the Elliptic Cauchy Matrix
JO  - Journal of Nonlinear Mathematical Physics
SP  - 179
EP  - 182
VL  - 18
IS  - 2
SN  - 1776-0852
UR  - https://doi.org/10.1142/S1402925111001477
DO  - 10.1142/S1402925111001477
ID  - Fehér2021
ER  -