An identity between the determinant and the permanent of Hessenberg-type matrices
Czechoslovak Mathematical Journal, Tome 61 (2011) no. 4, pp. 917-921.

Voir la notice de l'article dans Czech Digital Mathematics Library

In this short note we provide an extension of the notion of Hessenberg matrix and observe an identity between the determinant and the permanent of such matrices. The celebrated identity due to Gibson involving Hessenberg matrices is consequently generalized.
DOI : 10.1007/s10587-011-0059-1
Classification : 05C50, 15A15
Mots-clés : determinant; permanent; Hessenberg matrices; graphs; trees
@article{10_1007_s10587_011_0059_1,
     author = {da Fonseca, Carlos Martins},
     title = {An identity between the determinant and the permanent of {Hessenberg-type} matrices},
     journal = {Czechoslovak Mathematical Journal},
     pages = {917--921},
     publisher = {mathdoc},
     volume = {61},
     number = {4},
     year = {2011},
     doi = {10.1007/s10587-011-0059-1},
     mrnumber = {2886247},
     zbl = {1249.15011},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/articles/10.1007/s10587-011-0059-1/}
}
TY  - JOUR
AU  - da Fonseca, Carlos Martins
TI  - An identity between the determinant and the permanent of Hessenberg-type matrices
JO  - Czechoslovak Mathematical Journal
PY  - 2011
SP  - 917
EP  - 921
VL  - 61
IS  - 4
PB  - mathdoc
UR  - https://geodesic-test.mathdoc.fr/articles/10.1007/s10587-011-0059-1/
DO  - 10.1007/s10587-011-0059-1
LA  - en
ID  - 10_1007_s10587_011_0059_1
ER  - 
%0 Journal Article
%A da Fonseca, Carlos Martins
%T An identity between the determinant and the permanent of Hessenberg-type matrices
%J Czechoslovak Mathematical Journal
%D 2011
%P 917-921
%V 61
%N 4
%I mathdoc
%U https://geodesic-test.mathdoc.fr/articles/10.1007/s10587-011-0059-1/
%R 10.1007/s10587-011-0059-1
%G en
%F 10_1007_s10587_011_0059_1
da Fonseca, Carlos Martins. An identity between the determinant and the permanent of Hessenberg-type matrices. Czechoslovak Mathematical Journal, Tome 61 (2011) no. 4, pp. 917-921. doi : 10.1007/s10587-011-0059-1. https://geodesic-test.mathdoc.fr/articles/10.1007/s10587-011-0059-1/

Cité par Sources :