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Generalized matrix functions on a linear sum of permutation matrices and their cousins
Published 8 Jun 2019 in math.RA | (1906.03429v1)
Abstract: A generalized matrix function is a generalization of determinant and permanent function. In this paper, we introduced the formula for the value of a generalized matrix function of a linear sum of permutation matrices. We show that a linear sum of permutation matrices satisfies the permanent dominance conjecture. Finally, we apply the result to some cousins of permutation matrices.
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