Geodesic
On upper bound of permanents
Trudy Instituta matematiki, Tome 23 (2015) no. 2, pp. 37-42 
D. B. Efimov. On upper bound of permanents. Trudy Instituta matematiki, Tome 23 (2015) no. 2, pp. 37-42. http://geodesic.mathdoc.fr/item/TIMB_2015_23_2_a4/
@article{TIMB_2015_23_2_a4,
     author = {D. B. Efimov},
     title = {On upper bound of permanents},
     journal = {Trudy Instituta matematiki},
     pages = {37--42},
     year = {2015},
     volume = {23},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMB_2015_23_2_a4/}
}
TY  - JOUR
AU  - D. B. Efimov
TI  - On upper bound of permanents
JO  - Trudy Instituta matematiki
PY  - 2015
SP  - 37
EP  - 42
VL  - 23
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TIMB_2015_23_2_a4/
LA  - ru
ID  - TIMB_2015_23_2_a4
ER  - 
%0 Journal Article
%A D. B. Efimov
%T On upper bound of permanents
%J Trudy Instituta matematiki
%D 2015
%P 37-42
%V 23
%N 2
%U http://geodesic.mathdoc.fr/item/TIMB_2015_23_2_a4/
%G ru
%F TIMB_2015_23_2_a4

Voir la notice de l'article provenant de la source Math-Net.Ru

By Jurkat–Rayser method we obtain an upper bound of the permanent of an arbitrary real nonnegative matrix of order $3$ in general and special case. We give also a comparision with the similar upper bound of the permanent obtained by another methods.

[1] Jurkat W. B., Ryser H. J., “Matrix Factorizations of Determinants and Permanents”, Journal of Algebra, 3:1 (1966), 1–27 | DOI | MR | Zbl

[2] Carlen E., Loss M., Lieb E. H., “An inequality of Hadamard type for permanents”, Methods and Applications of Analysis, 13:1 (2006), 1–18 | DOI | MR

[3] Browne J., Grassmann Algebra, Quantica Publishing, Melbourne, Australia, 2009

[4] Mink Kh., Permanenty, Mir, M., 1982 | MR