| 特殊矩阵的Kronecker积 |
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| 引用本文： | 杜鹃,范啸涛,冯思臣.特殊矩阵的Kronecker积[J].四川师范大学学报(自然科学版),2009,32(1). |
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| 作者姓名： | 杜鹃 范啸涛 冯思臣 |
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| 作者单位： | 成都理工大学,信息管理学院,四川,成都,610059 |
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| 摘 要： | 在已有的Kronecker积性质的基础上给出了正规矩阵、对角矩阵、Hermite矩阵、相合矩阵、非负矩阵、M-矩阵、正定矩阵、半正定矩阵等特殊矩阵的kronecker积的性质,还得到了Kronecker积的奇异值分解的运算方法.另外,证明了Kronecker积的指数矩阵函数的运算性质与乘积矩阵的Kronecker积幂的运算性质;最后还推出了kronecker积的微分运算法则.
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| 关 键 词： | 矩阵 直积 Kronecker积 |
Kronecker Product of Special Matrices |
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| DU Juan,FAN Xiao-tao,FENG Si-chen.Kronecker Product of Special Matrices[J].Journal of Sichuan Normal University(Natural Science),2009,32(1). |
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| Authors: | DU Juan FAN Xiao-tao FENG Si-chen |
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| Institution: | College of Information Management;Chengdu University of Technology;Chengdu 610059;Sichuan |
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| Abstract: | Based on the well-known properties of the Kronecker product,some other properties of Kronecker product of some special matrices are discussed in this paper,such as normal,diagonal,Hermite,congruent,nonnegative,positive definite,semi-positive definite and M-matrices,etc.The singular value decomposition operation of the Kronecker product is given.Moreover,the operative properties of exponential matrix function of the Kronecker product and the operative properties of the Kronecker power for productive matrices... |
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| Keywords: | Matrix Direct product Kronecker product |
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