| 迹非零几乎可约分块布尔矩阵的幂敛指数 |
| |
| 引用本文： | 蒋志明,王宗尧,柳柏濂.迹非零几乎可约分块布尔矩阵的幂敛指数[J].数学研究及应用,2006,26(3):627-634. |
| |
| 作者姓名： | 蒋志明 王宗尧 柳柏濂 |
| |
| 作者单位： | 1. 华东理工大学数学系,上海,201512
2. 华南师范大学数学系,广东,广州,510631 |
| |
| 摘 要： | 设H_n(d)是恰含d个正对角元的n阶几乎可约分块布尔矩阵的集合,1≤d≤n,对任何矩阵A∈H_n(d),本文证明了■其中s_n=|(2n-5-(4n-3)~(1/2))/2|,同时刻画了H_n(d)中幂敛指数达到最大值的极矩阵．
|
| 关 键 词： | 布尔矩阵 幂敛指数 上确界 极矩阵 |
| 文章编号： | 1000-341X(2006)03-0627-08 |
| 收稿时间： | 9/8/2003 12:00:00 AM |
| 修稿时间： | 2003年9月8日 |
The Index of Convergence of Nearly Reducible Block Matrices |
| |
| JIANG Zhi-ming,WANG Zong-yao and LIU Bo-lian.The Index of Convergence of Nearly Reducible Block Matrices[J].Journal of Mathematical Research with Applications,2006,26(3):627-634. |
| |
| Authors: | JIANG Zhi-ming WANG Zong-yao and LIU Bo-lian |
| |
| Institution: | Dept. of Math., East China University of Science and Technology, Shanghai 201512, China;Dept. of Math., East China University of Science and Technology, Shanghai 201512, China;Dept. of Math., South China Normal University, Guangzhou 510631, China |
| |
| Abstract: | Let H_n(d),1(?)d(?)n,be the set of nearly reducible Boolean block matrices of order n with exact d non-zero diagnols.The index of convergence of a matrix A is denoted by k(A).This paper solves the problem for the exact upper bound of k(A)completely.The following result is proved: k(v_i,v_j)(?)max{(n-d-2)~2 2,2n-d-1} (?) s_n(2n-5)-(4n-3)~(1/2)/2] And we give complete characterization for the extreme matrices with the largest convergent index in H_n(d). |
| |
| Keywords: | Boolean matrix convergent index exact upper bound extreme matrix |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《数学研究及应用》浏览原始摘要信息 |
| 点击此处可从《数学研究及应用》下载免费的PDF全文 |
|
