| 关于坡上矩阵的秩 |
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| 引用本文： | 周梅萍.关于坡上矩阵的秩[J].福建农业大学学报,2009(1):108-112. |
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| 作者姓名： | 周梅萍 |
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| 作者单位： | 福建农林大学计算机与信息学院,福建福州350002 |
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| 基金项目： | 基金项目：福建农林大学青年教师基金资助项目（06807）. |
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| 摘 要： | 对交换坡上矩阵A的行秩、列秩、Schein秩及其性质进行了探讨，证明了在已知矩阵行秩pi（A）=r的情况下，A的传递闭包t（A）=r↑∑↓k=1Ak，以及有关矩阵幂收敛和伴随矩阵的一些定理．
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| 关 键 词： | 坡 传递闭包 伴随矩阵 幂收敛 |
Rank of incline matrix |
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| ZHOU Mei-ping.Rank of incline matrix[J].Journal of Fujian Agricultural University,2009(1):108-112. |
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| Authors: | ZHOU Mei-ping |
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| Institution: | ZHOU Mei-ping (College of Computer and Information, Fujian Agriculture and Forestry University, Fuzhou, Fujian 350002, China) |
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| Abstract: | The row rank, column rank and Schein rank of matrix over inline and their characters were discussed. The transitive closure of matrix A t（A）=r↑∑↓k=1Ak and some theorems about the power-convergent and adjoint matrix of incline matrix under the condition of pr（A） = r were also proved. |
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| Keywords: | incline transitive closure adjoint matrix power-convergent |
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