| 结构方阵秩亏为1的可信性验证 |
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| 引用本文： | 李喆,周蕊.结构方阵秩亏为1的可信性验证[J].吉林大学学报(理学版),2013,51(6):1101-1103. |
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| 作者姓名： | 李喆 周蕊 |
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| 作者单位： | 长春理工大学 理学院, 长春 130022 |
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| 摘 要： | 利用区间算法研究秩亏为1结构方阵的可信性验证. 通过给定一个具有特殊代数结构的矩阵M, 算法可输出一个具有相同代数结构的区间方阵M(E), 其每个位置的元素均为矩阵M相应位置元素的很小区间摄动, 使得区间矩阵M(E)中包含一个具有相同代数结构且秩亏为1的矩阵M(ε^).
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| 关 键 词： | 区间算法 结构方阵 可信性验证 |
| 收稿时间： | 2013-03-04 |
Certification of Square Structure Matrix with Rank Deficiency One |
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| LI Zhe,ZHOU Rui.Certification of Square Structure Matrix with Rank Deficiency One[J].Journal of Jilin University: Sci Ed,2013,51(6):1101-1103. |
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| Authors: | LI Zhe ZHOU Rui |
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| Institution: | College of Science, University of Science and Technology, Changchun 130022, China |
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| Abstract: | The authors mainly discussed the certification of the square structure matrix with rank deficiency one. For a square structure matrix M, it is given an algorithm which outputs an interval squarematrix M(E) with the same algebraic structure such that M(E)contains a structure matrix M(ε^)with rank deficiency one, where each element of M(E) is a small interval perturbation of the corresponding element of M. |
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| Keywords: | interval algorithm square structure matrix certification |
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