Some new bounds on eigenvalues of the Hadamard product and the Fan product of matrices
文献类型：期刊论文
| 作者 | Li YT[*]1,2; Li YY1; Wang RW2; Wang YQ1 |
| 刊名 | LINEAR ALGEBRA AND ITS APPLICATIONS
 |
| 出版日期 | 2010 |
| 卷号 | 432期号:2-3页码:536-545 |
| 关键词 | Nonnegative matrix M-matrix Hadamard product Fan product Spectral radius Minimum eigenvalue |
| ISSN号 | 0024-3795 |
| 通讯作者 | liyaotang@ynu.edu.cn ; wangrw@mail.kiz.ac.cn |
| 合作状况 | 其它 |
| 英文摘要 | Let A and B be nonsingular M-matrices. A lower bound on the minimum eigenvalue q(B circle A(-1)) for the Hadamard product of A(-1) and B, and a lower bound on the minimum eigenvalue q(A star B) for the Fan product of A and B are given. In addition, an upper bound on the spectral radius rho(A circle B) of nonnegative matrices A and B is also obtained. These bounds improve several existing results in some cases and the estimating formulas are easier to calculate for they are only depending on the entries of matrices A and B. |
| 收录类别 | SCI |
| 资助信息 | This work was supported by National Natural Science Foundation of China (30770500) and State Key Laboratory of Genetic Resources and Evolution, Kunming Institute of Zoology, Chinese Academy of Sciences (GREKF09-02). |
| 原文出处 | 2010432536.pdf |
| 公开日期 | 2010-08-24 |
| 源URL | [http://159.226.149.42:8088/handle/152453/2783]  |
| 专题 | 昆明动物研究所_实验与理论生态学 昆明动物研究所_遗传资源与进化国家重点实验室 |
| 作者单位 | 1.School of Mathematics and Statistics, Yunnan University, Kunming, Yunnan 650091, PR China 2.State Key Laboratory of Genetic Resources and Evolution, Kunming Institute of Zoology, Chinese Academy of Science, Kunming, Yunnan 650223, PR China |
| 推荐引用方式 GB/T 7714 | Li YT[*],Li YY,Wang RW,et al. Some new bounds on eigenvalues of the Hadamard product and the Fan product of matrices[J]. LINEAR ALGEBRA AND ITS APPLICATIONS,2010,432(2-3):536-545. |
| APA | Li YT[*],Li YY,Wang RW,&Wang YQ.(2010).Some new bounds on eigenvalues of the Hadamard product and the Fan product of matrices.LINEAR ALGEBRA AND ITS APPLICATIONS,432(2-3),536-545. |
| MLA | Li YT[*],et al."Some new bounds on eigenvalues of the Hadamard product and the Fan product of matrices".LINEAR ALGEBRA AND ITS APPLICATIONS 432.2-3(2010):536-545. |
入库方式： OAI收割
来源：昆明动物研究所
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