| 具有确定非零对角元个数的布尔矩阵广义幂敛指数的极矩阵 |
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| 引用本文： | 周波.具有确定非零对角元个数的布尔矩阵广义幂敛指数的极矩阵[J].数学学报,2005,48(1):17-24. |
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| 作者姓名： | 周波 |
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| 作者单位： | 华南师范大学数学系 |
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| 基金项目： | 国家自然科学基金资助项目(10201009)
广东省自然科学基金资助项目(021072) |
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| 摘 要： | 设A是周期为P的n阶布尔矩阵,1≤i≤n,A的广义幂敛指数k(A,i)是使得Ak和Ak+p有i行对应相等的最小非负整数k.本文刻画了恰含d(1≤d≤n)个非零对角元的n阶布尔矩阵的广义幂敛指数的极矩阵.
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| 关 键 词： | 广义幂敛指数 周期 范数 |
The Extremal Matrices of Generalized Indices of Convergence of Boolean Matrices with Given Number of Non-zero Diagonal Entries |
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| Bo ZHOU.The Extremal Matrices of Generalized Indices of Convergence of Boolean Matrices with Given Number of Non-zero Diagonal Entries[J].Acta Mathematica Sinica,2005,48(1):17-24. |
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| Authors: | Bo ZHOU |
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| Institution: | Bo ZHOU Department of Mathematics, South China Normal University, Guangzhou 510631, P. R. China |
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| Abstract: | Let A be an n x n Boolean matrix with period p, 1≤i≤n. The generalized index of convergence k(A, i) of A is the least nonnegative integers k such that i rows of Ak and Ak+p are mutually equal. We characterize the extremal matrices of generalized indices of convergence of the n×n Boolean matrices with exactly d (1≤d≤n) non-zero diagonal entries. |
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| Keywords: | Generalized index of convergence Period Norm |
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