| 方阵特征值及其实部,虚部之间的不等式 |
| |
| 引用本文： | 屠伯埙. 方阵特征值及其实部,虚部之间的不等式[J]. 复旦学报(自然科学版), 1994, 33(6): 634-642 |
| |
| 作者姓名： | 屠伯埙 |
| |
| 作者单位： | 复旦大学数学系 |
| |
| 摘 要： | 研究方阵的特征值及其实部、虚部之间的不等式，给出了循征值与其实部、特征值与其虚部、特征值的实部与虚部之间的一些基本不等式，并导出了特征值，特征值的实部、特征值的虚部的一些新的上、下界。
|
| 关 键 词： | 特征值 实部 虚部 不等式 方阵 |
Inequalities between the eigenvalues of matrices andits real parts as well as its imaginary parts |
| |
| Tu Boxun. Inequalities between the eigenvalues of matrices andits real parts as well as its imaginary parts[J]. Journal of Fudan University(Natural Science), 1994, 33(6): 634-642 |
| |
| Authors: | Tu Boxun |
| |
| Affiliation: | Department of Mathematics |
| |
| Abstract: | his paper studies the inequalities between the eigenvalues of matricesand its real parts as well as its imaginary parts,and gives also the basicinequalities on the real parts and the imaginary parts of the eigenvalues.A number of new upper bounds and lower bounds for the eigenvalues and its real partsas well as its imaginary partS are deduced. |
| |
| Keywords: | eigenvalue real part imaginary part inequality upper bound lowerbound |
| 本文献已被 CNKI 维普 等数据库收录！ |
