| Fan Ky不等式的一个新改进 |
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| 引用本文： | 黄政,高明哲,徐景实.Fan Ky不等式的一个新改进[J].数学学习,2010,13(4):24-26. |
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| 作者姓名： | 黄政 高明哲 徐景实 |
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| 作者单位： | [1]吉首大学师范学院数学与计算机科学系,湖南吉首416000 [2]湖南师范大学数学与计算机科学学院,长沙410081 |
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| 基金项目： | 湖南省教育厅资助科研项目 |
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| 摘 要： | 利用Gram矩阵的正定性和可变单位向量建立了Fan Ky不等式的一个新的改进,并且建立了反向Fan Ky不等式.对于非奇异矩阵,得到了Fan Ky不等式以及反向Fan Ky不等式的推广.
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| 关 键 词： | Fan Ky不等式 正定矩阵 非奇异矩阵 特征根 线性相关 |
A New Improvement of Fan Ky's Inequality |
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| HUANG Zheng,GAO Ming Zhe,XU Jing Shi.A New Improvement of Fan Ky''s Inequality[J].Studies In College Mathematics,2010,13(4):24-26. |
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| Authors: | HUANG Zheng GAO Ming Zhe XU Jing Shi |
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| Institution: | 1. Department of Mathematics and Computer Science, Normal College of Jishou University, Jishou, Hunan 416000, 2. Department of Mathematics, Hunan Normal University, Changsha, 410081, PRC) |
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| Abstract: | A newrefinement of Fan Ky＇s inequality can be established by means of the positive definiteness of Gram matrix and a variable unit-vector. A reverse Fan Ky＇s inequality is also established. For nonsingular matrices, some extensions of the Fan Ky＇s inequality and the reverse Fan Ky＇s inequality are obtained. |
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| Keywords: | Fan Ky ＇s inequality positive definitive matrix nonsingular matrices characteristic root linear dependence |
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