| 复正定矩阵的Kronecker积的正定性 |
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| 引用本文： | 万文婷.复正定矩阵的Kronecker积的正定性[J].荆门职业技术学院学报,2009,24(11):40-42. |
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| 作者姓名： | 万文婷 |
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| 作者单位： | 荆楚理工学院数理学院,湖北,荆门,448000 |
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| 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。
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| 关 键 词： | 复正定矩阵 Hermite正定矩阵 Hermite矩阵 Kronecker积 特征值 |
The Positive Definiteness of Kronecker Product of Complex Positive Definite Matrices |
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| Institution: | WAN Wen - ting ( Jingchu University of Technology, Jingmen, Hubei ,448000, China) |
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| Abstract: | 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. |
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| Keywords: | complex positive definite matrix Hermitian positive definite matrix Hermite matrix Kroneeker product eigenvalue |
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