| 自共轭四元数矩阵的几个不等式 |
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| 引用本文： | 喻朝阳.自共轭四元数矩阵的几个不等式[J].盐城工学院学报(自然科学版),2009,22(4):21-22. |
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| 作者姓名： | 喻朝阳 |
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| 作者单位： | 西昌学院,工程技术系,四川,西昌,615013 |
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| 摘 要： | 主要讨论了自共轭四元数矩阵的不等式问题,得到了四元数向量和四元数正定矩阵的Schwartz型不等式,在此基础之上,给出了两个Rayleigh商乘积的上下界。
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| 关 键 词： | 四元数矩阵 Schwartz型不等式 Rayleigh商 |
Several inequalities of self-conjugate quaternion matrices |
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| YU Zhao-yang.Several inequalities of self-conjugate quaternion matrices[J].Journal of Yancheng Institute of Technology(Natural Science Edition),2009,22(4):21-22. |
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| Authors: | YU Zhao-yang |
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| Institution: | YU Zhao-yang ( Department of Engineering Technology, Xichang College, Sichuan Xichang 615013, China) |
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| Abstract: | The inequalities of self-conjugate quaternion matrix were discussed.The Schwartz type inequalities for quaternion positive definite matrix and the vector of quaternion were presented.Basing on the inequality above,The upper bound and lower bound for the product of two Rayleigh divisions were obtained. |
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| Keywords: | quaternion matrix schwartz type inequality rayleigh division |
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