置换矩阵及其表矩阵线性和上的广义矩阵函数
Generalized matrix functions on a linear sum of permutation matrices and their cousins
摘要：
广义矩阵函数是行列式和积函数的推广。本文给出了置换矩阵的线性和的广义矩阵函数的值的计算公式。证明了置换矩阵的线性和满足永久占优猜想。最后，我们将所得结果应用到置换矩阵的一些表兄弟上。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
