广义矩阵函数的一个不等式

Inequalities for Generalized Matrix Functions

设Sm表示m次对称群，G是它的子群，X是G上次数为1的特征标．对于m阶具有奇异值n，r2，…，rm的复矩阵A。

Let Sm denote the symmetric group of degree rn and G be a subgroup of Sin. Let X be a character of degree 1 on G . Suppose A is an rn-by-m matrix complex matrix with singular-values rl, r2, ……, rm. Denote