Generalized matrix functions on a linear sum of permutation matrices and their cousins
Rings and Algebras
2019-06-11 v1
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.
Cite
@article{arxiv.1906.03429,
title = {Generalized matrix functions on a linear sum of permutation matrices and their cousins},
author = {Ratsiri Sanguanwong and Kijti Rodtes},
journal= {arXiv preprint arXiv:1906.03429},
year = {2019}
}