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| 引用本文： | 钟琴,牟谷芳.总目次[J].西南师范大学学报(自然科学版),2018,43(12):1-10. |
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| 作者姓名： | 钟琴 牟谷芳 |
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| 作者单位： | 1. 四川大学锦江学院 数学教学部, 四川 彭山 620860;2. 乐山师范学院 数学与信息科学学院, 四川 乐山 614000 |
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| 基金项目： | 四川省教育厅科研项目（18ZB0364）；四川大学锦江学院青年教师科研项目（QNJJ-2018-A01）. |
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| 摘 要： | 对于两个非负矩阵A和B的Hadamard积，利用特征值包含域定理给出谱半径的新上界估计式.数值例子表明新估计式在某些情况下比现有的估计式更为精确，并且这些估计式只依赖于两个非负矩阵的元素，更容易计算.
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| 关 键 词： | 非负矩阵 Hadamard积 谱半径 上界 |
| 收稿时间： | 2017/10/31 0:00:00 |
New Upper Bounds on the Spectral Radius for the Hadamard Product of Matrices |
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| ZHONG Qin,MOU Gu-fang.New Upper Bounds on the Spectral Radius for the Hadamard Product of Matrices[J].Journal of Southwest China Normal University(Natural Science),2018,43(12):1-10. |
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| Authors: | ZHONG Qin MOU Gu-fang |
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| Institution: | 1. Department of Mathematics, Jinjiang College of Sichuan University, Pengshan Sichuan 620860, China;2. College of Mathematics and Information Science, Leshan Normal University, Leshan Sichuan 614000, China |
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| Abstract: | For the Hadamard product of two nonnegative matrices A and B, new upper bounds of the spectral radius have been given on the basis of the characteristic value containing domain theorems. The given numerical example show that these estimating formulas improve several existing results in some cases, and these bounds are easier calculate for they are only depending on the entries of nonnegative matrices. |
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| Keywords: | nonnegative matrix Hadamard product spectral radius upper bound |
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