论文标题
Schur-horn定理，用于符号特征值
A Schur-Horn Theorem for symplectic eigenvalues
论文作者
论文摘要
令$ x $和$ y $为正$ n $ - 向量。我们表明，存在一个$ 2N \ times 2n $正确定的真实矩阵，其符号频谱为$ y，$，而符号频谱的对角线为$ x $，并且只有$ x $却是$ x $的$ x $。
Let $x$ and $y$ be positive $n$-vectors. We show that there exists a $2n\times 2n$ positive definite real matrix whose symplectic spectrum is $y,$ and the symplectic spectrum of whose diagonal is $x$ if and only if $x$ is weakly supermajorised by $y.$
