矩阵乘积的特征值的估计  

Estimations for the Eigenvalues of the Product of Matrices

作　　者：宋永忠[1] 

机构地区：[1]南京师范大学数学系

出　　处：《南京师大学报（自然科学版）》1994年第2期10-13,共4页Journal of Nanjing Normal University(Natural Science Edition)

摘　　要：给出了两个正规阵或厄米阵之积的特征值的上、下界，给出了两个厄米半正定区之积的特征值的上、下界，还给出了两个矩阵之积的奇异值与原来两矩阵奇异值之间的关系．For two radial matrices A and B an upper bound for the modulus of eigenvalues of AB in terms of those of A and B is obtained. Specially,we prove an upper and a lower bound for two normal or Hermitian matrices. When both A and B are positive semidefinite Hermitian matrices, better relations are proposed. At last,the relations between the singular values of AB and those of A and B are derived.

关 键 词：矩阵 特征值 奇异值 乘积 

分 类 号：O151.21[理学—数学]