| 正定Hermite阵的行列式上界与Hadamard不等式的改进 |
| |
| 引用本文： | 屠伯埙. 正定Hermite阵的行列式上界与Hadamard不等式的改进[J]. 复旦学报(自然科学版), 1986, 0(4) |
| |
| 作者姓名： | 屠伯埙 |
| |
| 作者单位： | 复旦大学数学系 |
| |
| 摘 要： | 本文提供一个改进的正定Hermite阵的行列式上界估计式。由此可将Hadamard关于任意非奇异阵的行列式的著名不等式作真正的改进。本文还给出若干非正规阵的行列式新的上界估计式。
|
| 关 键 词： | 正定Hermite阵 行列式 Hadamard不等式 非奇异阵 非正规阵 |
UPPER BOUNDS FOR DETERMINANTS OF THE POSITIVEDEFINITE HERMITIAN MATRICES AND AN IMPROVEMENT OF HADANARD INEQUALITY |
| |
| Tu Boxun. UPPER BOUNDS FOR DETERMINANTS OF THE POSITIVEDEFINITE HERMITIAN MATRICES AND AN IMPROVEMENT OF HADANARD INEQUALITY[J]. Journal of Fudan University(Natural Science), 1986, 0(4) |
| |
| Authors: | Tu Boxun |
| |
| Affiliation: | Mathematics Department |
| |
| Abstract: | This paper provided an improved inequality on upper bounds for the determinant of the positivedefinite Hermitian matrix. By using this inequality, an improvement of the famous Hadanard inequality on the upper bound of the determinant of any nonsingular matrix is given. This paper also represents some new results on upper bounds for the determinants of nonnormal matrices. |
| |
| Keywords: | positivedefinite Hermitian matrix determinant Hadamard inequality nonsingular matrix nonnormal matrix |
| 本文献已被 CNKI 等数据库收录！ |
