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Inequalities for the Permanental Minors of Non-Negative Matrices
Published online by Cambridge University Press: 20 November 2018
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Let A be an n X n non-negative matrix, that is, a matrix whose entries are non-negative numbers. The permanent of A is the scalarvalued function of A defined by
where the summation extends over all permutations i1 … , in of the integers 1, … , n. The purpose of this paper is to prove several inequalities involving the permanent of A and the permanent of submatrices of A when suitable restrictions are placed on the row sums.
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- Copyright © Canadian Mathematical Society 1966
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