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
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     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/}
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