| 摘要: |
| 给出〖WTHX〗M〖WTBZ〗矩阵〖WTHX〗A〖WTBZ〗的逆矩阵〖WTHX〗A〖WTBZ〗-1与〖WTHX〗M〖WTBZ〗矩阵〖WTHX〗B〖WTBZ〗的Hadamard积〖WTHX〗A〖WTBZ〗〖WTHX〗B〖WTBZ〗-1的最小特征值q(〖WTHX〗A〖WTBZ〗〖WTHX〗B〖WTBZ〗-1)下界的新估计式；理论证明说明估计式提高了Horn在1991年给出的结果，数值算例说明估计式提高了一些现有的结果. |
| 关键词: 〖WTHX〗M〖WTBZ〗矩阵 非负矩阵 Hadamard积 最小特征值 下界 |
| DOI： |
| 分类号: |
| 基金项目: |
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| The Bound of Minimum Eigenvalue for the Hadamard Product of M Matrix and Nonnegative Matrix |
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LI Yan yan，JIANG Jian xin
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| Abstract: |
| The new lower bound of minimum eigenvalue q(AB-1)for the Hadamard product AB-1of the inverse A-1of MmatrixAand MmatrixB is given.It is prove that the estimator improves the results given by Horn in 1991，and numerical examples illustrate the estimator improves some existing results. |
| Key words: 〖WTBZ〗M matrix nonnegative matrix Hadamard product minimum eigenvalue lower bound |
