| 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].福建农林大学学报(自然科学版),2009,38(1). |
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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： | 福建农林大学青年教师科研基金 |
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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ρr(A)=r的情况下,A的传递闭包t(A)=∑rk=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 and Forestry University,2009,38(1). |
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| Authors: | ZHOU Mei-ping |
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| Institution: | 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)=∑rk=1Ak) and some theorems about the power-convergent and adjoint matrix of incline matrix under the condition of ρr(A)=r were also proved. |
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| Keywords: | incline transitive closure adjoint matrix power-convergent |
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