摘要
在实四元数体上研究矩阵弱直积与弱圈积的特征值与奇异值不等式,结合推广了的体上Cauchy特征值交错定理,奇异值Thompson交错定理,给出了体上弱直积的迹范数不等式,弱圈积的特征值与奇异值不等式,作为一个应用,给出了华罗庚矩阵的特征值估计,华氏定理进一步被证实。
This paper deals with the eigenvalue and singular inequalities of weak direct products andweak circular products over the real Quaterion Division field,joins the generalized cauchy's eigen-value interlacing theorem and Thom pson' s singular in terlacing theorem and gives out weak directproducts trace norm inequality and weak circular products singular inequality. For its application,theeigenvalues estamite of Hua Luogeng' s matrix is presented,thus,his theorem is proved by means of another method.
出处
《重庆师范学院学报(自然科学版)》
1994年第4期60-65,共6页
Journal of Chongqing Normal University(Natural Science Edition)
关键词
四元数矩阵
弱直积
弱圈积
不等式
特征值
matrices of real quaternion ,weak direct products, weak circular products,inequalities