| 矩阵Hadamard积和Fan积特征值界的新估计 |
| |
| 引用本文： | 李华.矩阵Hadamard积和Fan积特征值界的新估计[J].河南科学,2012,30(6):680-683. |
| |
| 作者姓名： | 李华 |
| |
| 作者单位： | 河南城建学院数理系,河南 平顶山,467044 |
| |
| 摘 要： | 利用著名的Gersgorin圆盘定理,给出非负矩阵的Hadamard积的谱半径上界的一个新估计式和非奇异M矩阵的Fan积的最小特征值的下界估计,易于计算.并通过具体例子加以比较,表明所得的估计结果在一定条件下更为精确.
|
| 关 键 词： | 非负矩阵 M矩阵 Hadamard积 Fan积 谱半径 最小特征值 |
New Estimation of the Eigenvalue Bounds of the Hadamard Product and the Fan Product of Matrices |
| |
| Li Hua.New Estimation of the Eigenvalue Bounds of the Hadamard Product and the Fan Product of Matrices[J].Henan Science,2012,30(6):680-683. |
| |
| Authors: | Li Hua |
| |
| Institution: | Li Hua (Department of Mathematics, Henan University of Urban Construction, Pingdingshan 467044, Henan China) |
| |
| Abstract: | By applying the famous Gersgorin disc theorem, a new upper bound of spectral radius of Hadamard product for nonnegative matrices, and a new lower bound of the minimum eigenvalue of Fan product for nonsingular M-matrices are given, and the estimations are easier to calculate. Finally,example is given to show that the bounds are better than the prevous results. |
| |
| Keywords: | nonnegative matrices M-matrices Hadamard product Fan product spectral radius the minimumeigenvalue |
| 本文献已被 维普 万方数据 等数据库收录！ |
|
