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
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 :