| 关于Fan Ky不等式的推广 |
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| 引用本文： | 高明哲.关于Fan Ky不等式的推广[J].湛江师范学院学报,2010,31(6):49-53. |
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| 作者姓名： | 高明哲 |
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| 作者单位： | 吉首大学师范学院数学与计算机科学系,湖南吉首416000 |
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| 基金项目： | 湖南省教育厅基金资助项目 |
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| 摘 要： | 利用积分方法和矩阵理论研究了正定对称矩阵的行列式不等式,考虑了可逆矩阵的行列式不等式,得到了Fan Ky不等式的若干推广;应用Gram的正定性,给出了Fan Ky不等式的一个改进.
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| 关 键 词： | Fan Ky不等式 正定矩阵 特征根 可变单位向量 内积空间 |
On the Extensions of Fan Ky's Inequality |
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| GAO Mingzhe.On the Extensions of Fan Ky's Inequality[J].Journal of Zhanjiang Normal College,2010,31(6):49-53. |
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| Authors: | GAO Mingzhe |
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| Institution: | GAO Mingzhe(Department of Mathematics and Computer Science,Normal College of Jishou University, Jishou 416000,Hunan,China) |
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| Abstract: | Some inequalities of the determinant of the positive definite symmetric matrices are studied by means of the integral method and matrix theory,and an inequality of the determinant of the invertible matrix is considered such that some extensions of Fan Ky＇s inequality are obtained.An improvement of Fan Ky＇s inequality is given by using the positive definiteness of Gram matrix. |
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| Keywords: | Fan Ky＇s inequality positive definite matrices characteristic root variable unit-vector inner product space |
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