| 非负矩阵Perron根的上界 |
| |
| 引用本文： | 陈跃辉.非负矩阵Perron根的上界[J].数学研究,2008,41(4):422-425. |
| |
| 作者姓名： | 陈跃辉 |
| |
| 作者单位： | 漳州师范学院数学与信息科学系,福建,漳州,363000 |
| |
| 基金项目： | 福建省教育厅科研项目
，
漳州师范学院校科研和教改项目
|
| |
| 摘 要： | 文章针对特殊的非负矩阵，应月简单的相似变换，使矩阵保持非负性且最大行和减小，从而得到行和为正非负矩阵Perron根的新上界．
|
| 关 键 词： | 非负矩阵 Perron根 上下界 估计 |
Upper Bounds for the Perron Roots of Nonnegative Matrices |
| |
| Chen Yuehui.Upper Bounds for the Perron Roots of Nonnegative Matrices[J].Journal of Mathematical Study,2008,41(4):422-425. |
| |
| Authors: | Chen Yuehui |
| |
| Institution: | Chen Yuehui ( Department of Mathematics and Information Science, Zhangzhou Normal College, Zhangzhou Fujian 363000 ) |
| |
| Abstract: | For a nonnegative matrix with some conditions,we introduce a simple similarity transforma- tion such that the transformed matrix still is nonnegative and its largest row sum decreases.Based on the largest row sum,new upper bounds for the Perron roots of nonnegative matrices are derived |
| |
| Keywords: | nonnegative matrices Perron root upper and lower bounds estimation |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
