摘要
给出四元数矩阵乘积迹的一个不等式，而Ｂｅｌｌｍａｎ不等式及其几种推广，以及关于四元数矩阵迹的Ｈｏｌｄｅｒ型和ｙｏｕｎｇ型不等式，均可视为这一结果的简单推论。作为这一结果的推论，还得到另外几个四元数矩阵乘积迹的不等式。
inequality on the product traces of quaternion matrices is given.Bellman inequality and its several generalizations,Young and Holder type inequalities for the traces of quaternion matrices are simple corollaries of this result.Another several inequalities are also obtained.
出处
《烟台师范学院学报（自然科学版）》
1995年第1期1-4,共4页
Yantai Teachers University journal(Natural Science Edition)
关键词
四元数体
矩阵
特征值
迹
不等式
uaternion field
self-conjugate matrix
eigenvalue
trace
