汇报标题 (Title)：New properties of a special matrix related to positive-definite matrices（与正定矩阵有关的特殊矩阵的新性质）
汇报人 (Speaker)： 黄少武 副教授（南充学院）
汇报功夫 (Time)：2025年4月25日 (周五) 15：30
汇报地址 (Place)：校本部GJ303
约请人(Inviter)：王卿文
主办部门：理学院数学系
汇报提要：Let $H$ be a $2n\times 2n$ real symmetric positive-definite matrix. Suppose that $H\circ H=(H_{ij})_{2n\times 2n}$ is a partitioned matrix, in which $\circ$ represents the Hadamard product and the block $H_{ij}$ has order $n\times n$, $1\leq i,j \leq 2$. Several new properties on the matrix $\widetilde{H}$ are derived including inequalities that involve the symplectic eigenvalues and the usual eigenvalues, where $2\widetilde{H}=H_{11}+H_{22}+H_{12}+H_{21}$.
