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| 计算非负不可约矩阵Perron根的对角变换 | |
| 引用本文： | 钱茜,韩贵春. 计算非负不可约矩阵Perron根的对角变换[J]. 工科数学, 2009, 0(1): 16-19 |
| 作者姓名： | 钱茜 韩贵春 |
| 作者单位： | [1]西南财经大学天府学院,绵阳621000 [2]内蒙古民族大学数学与计算机学院,通辽028000 |
| 摘 要： | 计算非负矩阵Perron根一般通过矩阵的对角变换，但是有的时候是不可行的．本文为非负不可约矩阵的计算给了一列对角变换．此种变换对所有的非负不可约矩阵实用，并且方便计算，最后给出了数值例子． |
| 关 键 词： | 非负矩阵 Perron根 不可约 变换 |
Diagonal Transformations for the Computation of the Perron Root of a Nonnegative Irreducible Matrix |
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| QIAN Qian,HAN Gui-chun. Diagonal Transformations for the Computation of the Perron Root of a Nonnegative Irreducible Matrix[J]. Journal of Mathematics For Technology, 2009, 0(1): 16-19 | |
| Authors: | QIAN Qian HAN Gui-chun |
| Affiliation: | 1. Tianfu College, South Western University of Finace and Economics, Mianyang 621000, China; 2. College of Mathematics and Computer, Inner Mongolia University for the Nationalites, Tongliao 028000, China) |
| Abstract: | Increasing sequences of lower bounds and decreasing sequences of upper bounds for the Perron root of nonnegative irreducible matrices by diagonal transformations are presented. This method can be used for all nonnegative irreducible matrices and is convenient to compute. A few numerical examples are given. |
| Keywords: | nonnegative matrix Perron root Irreducible transformation |
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