| 复亚半正定矩阵 |
| |
| 引用本文： | 袁晖坪. 复亚半正定矩阵[J]. 上海理工大学学报(社会科学版), 2002, 24(3): 214-217,221 |
| |
| 作者姓名： | 袁晖坪 |
| |
| 作者单位： | 重庆工商大学数学系 重庆400033 |
| |
| 基金项目： | 重庆市教委科学基金资助项目(981002) |
| |
| 摘 要： | 给出了复亚半正定矩阵的概念，研究了它的基本性质及行列式理论，将Hermite阵的Schur定理，华罗庚定理，Minkowski不等式，凸性不等式，Ostrowski-Taussky不等式推广到了较广泛的复矩阵类，扩大了Minkowski不等式的指数范围，削弱了华罗庚不等式的条件。
|
| 关 键 词： | 复亚半正定矩阵 Hadamard乘积 Kronecker乘积 行列式 不等式 |
Complex metapositive semidefinite matrices |
| |
| YUAN Hui-ping. Complex metapositive semidefinite matrices[J]. Journal of University of Shanghai For Science and Technilogy(Social Science), 2002, 24(3): 214-217,221 |
| |
| Authors: | YUAN Hui-ping |
| |
| Abstract: | The concept of complex metapositive semidefinite matrix is given, its properties and determinant theories are discussed, and then the Schur theorem, Hua Luo-geng theorem, Minkowski inequality, Protruding property inequality and Ostrowski-Taussky inequality of Hermite matrices are generalized to more extensive compound matrix genus. The index scope of Minkowski inequality is enlarged and the condition of Hua Luo-geng inequality is weakened. |
| |
| Keywords: | complex metapositive semidefinite matrix Hadamard product Kronecker product determinant inequality |
|
| 点击此处可从《上海理工大学学报(社会科学版)》浏览原始摘要信息 |
|
点击此处可从《上海理工大学学报(社会科学版)》下载全文 |
