摘要
讨论了实四元数体上Schur乘积问题.首先提出实四元数体上Schur乘积的概念,得出了自共轭矩阵的Schur乘积的一些新结果,最后将实或复矩阵中的著名结果推广到了四元数体上.
The aim of this paper is to discuss the Schur product over the quatemion division algebra. First, the concept of Schur product is extended to the quaternion division algebra. Some properties and theorems about the Schur product of the self-conjugate matrix are obtained. Meanwhile, some famous theorems of the real and complex matrix are promoted.
出处
《常熟理工学院学报》
2008年第2期18-21,共4页
Journal of Changshu Institute of Technology
关键词
Schur乘积
四元数体
半正定矩阵
SCHUR定理
自共轭矩阵
Schur product
Quaternion division algebra
Semi-positive definite matrices
Schur theorem
self-conjugate matrix
