| 基于Hermite矩阵的几类重要不等式 |
| |
| 引用本文： | 薛兰兰,伍俊良.基于Hermite矩阵的几类重要不等式[J].山东师范大学学报(自然科学版),2012,27(1):38-40. |
| |
| 作者姓名： | 薛兰兰 伍俊良 |
| |
| 作者单位： | 重庆大学数学与统计学院信息与计算科学系,401331,重庆 |
| |
| 基金项目： | 国家自然科学基金资助项目（70872123）. |
| |
| 摘 要： | 笔者给出了Hermite矩阵特征值的Wieland - Hoffman型不等式,研究了Hadamard乘积下的矩阵迹的Cauchy型不等式、H（o）lder型不等式、Minkowski型不等式以及几何平均不等式.
|
| 关 键 词： | 正定半正定Hermite矩阵 Hadamard乘积 迹 |
SEVERAL KIND OF IMPORTANT INEQUALITIES BASED ON HERMITE MATRIX |
| |
| Xue Lanlan
,
Wu Junliang.SEVERAL KIND OF IMPORTANT INEQUALITIES BASED ON HERMITE MATRIX[J].Journal of Shandong Normal University(Natural Science),2012,27(1):38-40. |
| |
| Authors: | Xue Lanlan Wu Junliang |
| |
| Institution: | Xue Lanlan Wu Junliang ( School of Mathematics and Statistics, Chongqing University, 401331, Chongqing, China ) |
| |
| Abstract: | In this paper, Wieland - Hoffman type theorem of positive definite and positive semi - definite Hermite matrix is given, then under the Hadamard product , we get＂ Cauchy type , Htilder type and Minkowski type inequalities of matrix traces. |
| |
| Keywords: | positive definite and positive semi -definite Hermite matrices Hadamard product traces |
| 本文献已被 维普 万方数据 等数据库收录！ |
|
