复正定矩阵的Kronecker积的正定性  

The Positive Definiteness of Kronecker Product of Complex Positive Definite Matrices

作　　者：万文婷[1] 

机构地区：[1]荆楚理工学院数理学院,湖北荆门448000

出　　处：《荆楚理工学院学报》2009年第11期40-42,共3页Journal of Jingchu University of Technology

摘　　要：复正定矩阵是Hermite正定矩阵的推广。文章在已有的Kronecker积性质的基础上,利用矩阵的特征值,讨论了复正定矩阵的Kronecker积的正定性,给出了两个复正定矩阵的Kronecker积仍是复正定矩阵的一个充要条件。The complex positive definite matrix is Hermitian positive definite matrix of generalize. Based on the well - known properties of the Kronecker product, the positive definiteness of Kronecker product of complex positive definite matrices are discussed by using eigenvalue of matrices in this paper. A necessary and sufficient condition for the Kronecker product of two complex positive definite matrices to be complex positive definite is given.

关 键 词：复正定矩阵 HERMITE正定矩阵 HERMITE矩阵 KRONECKER积 特征值 

分 类 号：O151.21[理学—数学]