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arXiv · 1906.03429

Generalized matrix functions on a linear sum of permutation matrices and their cousins

Ratsiri Sanguanwong·Kijti Rodtes
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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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BibTeXRIS

Ratsiri Sanguanwong, Kijti Rodtes. 2019-06-08. Generalized matrix functions on a linear sum of permutation matrices and their cousins. https://arxiv.org/abs/1906.03429

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