| 三幂等符号模式矩阵的结构 |
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| 引用本文： | 李炯生,高玉斌. 三幂等符号模式矩阵的结构[J]. 高校应用数学学报(英文版), 2001, 16(1): 1-7. DOI: 10.1007/s11766-001-0030-2 |
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| 作者姓名： | 李炯生 高玉斌 |
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| 作者单位： | Dept. Of Math., Univ. Of Science and Technology of China, |
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| 基金项目： | Project supported by the National Natural Science Foundation of China(1 9971 0 86) |
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| 摘 要： | Abstract. A matrix whose entries are , -, and 0 is called a sign pattern matrix. For a signpattern matrix A,if A3 =A, then A is said to be sign tripotent. In this paper, the characteriza-tion of the n by n(n≥2) sign pattern matrices A which are sign tripotent has been given out.Furthermore, the necessary and sufficient condition of A3=A but A2≠A is obtained, too.
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| 关 键 词： | 三幂符号模式矩阵 矩阵结构 充要条件 矩阵论 |
| 收稿时间： | 1999-10-25 |
The structure of tripotent sign pattern matrices |
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| Li Jiongsheng,Gao Yubin. The structure of tripotent sign pattern matrices[J]. Applied Mathematics A Journal of Chinese Universities, 2001, 16(1): 1-7. DOI: 10.1007/s11766-001-0030-2 |
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| Authors: | Li Jiongsheng Gao Yubin |
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| Abstract: | A matrix whose entries are +, −, and 0 is called a sign pattern matrix. For a sign pattern matrix A, if A 3 =A, then A is said to be sign tripotent. In this paper, the characterization of the n by n(n≥2) sign pattern matrices A which are sign tripotent has been given out. Furthermore, the necessary and sufficient condition of A 3 =A but A 2 ≠A is obtained, too. Project supported by the national Natural Science Foundation of China (19971086). |
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| Keywords: | Sign pattern matrix. |
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