| (分块)非负矩阵谱半径的界 |
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| 引用本文： | 钱茜,韩贵春.(分块)非负矩阵谱半径的界[J].高等学校计算数学学报,2010,32(2). |
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| 作者姓名： | 钱茜 韩贵春 |
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| 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学院,通辽,028043 |
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| 摘 要： | <正>1引言若A=(a_(ij)),其中a_(ij)≥0,我们则称A为非负矩阵.ρ(A)表示A的谱半径,当A≥0时,ρ(A)就是A的Perron根.众所周知,若A≥0,则r_(min)(A)≤ρ(A)≤r_(max)(A),
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| 关 键 词： | 非负不可约矩阵 分块 不可约非负矩阵 对角元 矩阵谱半径 正矩阵 任意性 不等式 高等学校 |
BOUNDS FOR THE PERRON ROOTS OF(BLOCK) NONNEGATIVE MATRICES |
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| Qian Qian,Han Guichun.BOUNDS FOR THE PERRON ROOTS OF(BLOCK) NONNEGATIVE MATRICES[J].Numerical Mathematics A Journal of Chinese Universities,2010,32(2). |
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| Authors: | Qian Qian Han Guichun |
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| Institution: | Qian Qian (Tianfu College of South Western University of Finance and Economics,Mianyang 621000) Han Guichun (College of Mathematics,Inner Mongolia University for Nationalites,Tongliao 028043) |
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| Abstract: | It is well-known that the Perron root of a nonnegative irreducible matrix A lies between the smallest and the largest rows of A.This result is generalized to the case when the matrix A is partitioned into blocks.On the other hand,a new lower bound for the Perron root of a nonnegative matrix is obtained which generalizes the existent result. |
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| Keywords: | nonnegative matrix Perron root partitioned matrix lower(upper)bound |
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