On upper bound of permanents
Trudy Instituta matematiki, Tome 23 (2015) no. 2, pp. 37-42
Cet article a éte moissonné depuis 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.
@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/}
}
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/
[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