| 非负广义幂等矩阵 |
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| 引用本文： | 方均尧.非负广义幂等矩阵[J].大学数学,1995(3). |
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| 作者姓名： | 方均尧 |
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| 作者单位： | 安徽大学 |
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| 摘 要： | 非负幂等矩阵在［１］中已有详细地讨论和重要地应用。［２］给出了Ａ≥０，Ａｋ＋１＝Ａ，ｋ是正整数，Ａｋ是零对称幂等矩阵的充要条件。本文给出了一般非负广义幂等矩阵的充要条件。并讨论了广义幂等矩阵的秩与其广义幂等指数的关系，推广了［２］中的部分结论。
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| 关 键 词： | 非负广义幂等矩阵，广义幂等指数，不可约矩阵，置换矩阵 |
Nonnegative Generalized Idemportent Matrices |
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| Fang Junyao.Nonnegative Generalized Idemportent Matrices[J].College Mathematics,1995(3). |
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| Authors: | Fang Junyao |
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| Affiliation: | AnHui University |
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| Abstract: | In this paper, we study nonnegative generalized idempotent matrices in detail. Some results in 2] are generalized. We also discuss the relation between the rank of nonnegative generalized idempotent matrices and its index of generalized idempotent. Several special classes of nonnegative generalized idempotent matrices are investigated. |
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| Keywords: | nonnegative generalized idempotent matrices index of generalized irreducible matrice permutation matrices |
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