An Algorithm for the Permanent of Circulant Matrices
Canadian mathematical bulletin, Tome 20 (1977) no. 1, pp. 67-70
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The permanent of an n ✕ n matrix A = (aij) is the matrix function 1 where the summation is over all permutations in the symmetric group, Sn . An n ✕ n matrix A is a circulant if there are scalars a1 ..., an such that 2 where P is the n ✕ n permutation matrix corresponding to the cycle (12 ... n) in Sn.
Cummings, Larry J.; Wallis, Jennifer Seberry. An Algorithm for the Permanent of Circulant Matrices. Canadian mathematical bulletin, Tome 20 (1977) no. 1, pp. 67-70. doi: 10.4153/CMB-1977-011-3
@article{10_4153_CMB_1977_011_3,
author = {Cummings, Larry J. and Wallis, Jennifer Seberry},
title = {An {Algorithm} for the {Permanent} of {Circulant} {Matrices}},
journal = {Canadian mathematical bulletin},
pages = {67--70},
year = {1977},
volume = {20},
number = {1},
doi = {10.4153/CMB-1977-011-3},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1977-011-3/}
}
TY - JOUR AU - Cummings, Larry J. AU - Wallis, Jennifer Seberry TI - An Algorithm for the Permanent of Circulant Matrices JO - Canadian mathematical bulletin PY - 1977 SP - 67 EP - 70 VL - 20 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1977-011-3/ DO - 10.4153/CMB-1977-011-3 ID - 10_4153_CMB_1977_011_3 ER -
%0 Journal Article %A Cummings, Larry J. %A Wallis, Jennifer Seberry %T An Algorithm for the Permanent of Circulant Matrices %J Canadian mathematical bulletin %D 1977 %P 67-70 %V 20 %N 1 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1977-011-3/ %R 10.4153/CMB-1977-011-3 %F 10_4153_CMB_1977_011_3
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