| 广义严格对角占优矩阵的判定 |
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| 引用本文： | 郭志军. 广义严格对角占优矩阵的判定[J]. 湖南工程学院学报(自然科学版), 2008, 18(4): 47-49 |
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| 作者姓名： | 郭志军 |
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| 作者单位： | 湖南城市学院,教学与计算科学系,益阳,413000 |
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| 基金项目： | 湖南省教育厅重点科研项目 |
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| 摘 要： | 广义严格对角占优矩阵在许多领域中具有重要作用，但其判定是不容易的．这里获得了广义严格对角占优矩阵的几个判定定理，然后用数值例子说明了所得结果的实用性．
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| 关 键 词： | 广义严格对角占优矩阵 α-对角占优矩阵 不可约矩阵 |
Criteria for Generalized Strictly Diagonally Dominant Matrix |
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| GUO Zhi-jun. Criteria for Generalized Strictly Diagonally Dominant Matrix[J]. Journal of Hunan Institute of Engineering(Natural Science Edition), 2008, 18(4): 47-49 |
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| Authors: | GUO Zhi-jun |
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| Affiliation: | GUO Zhi-jun (Dept. of Math ＆ Computational Science, Hunan City University, Yiyang 413000, China) |
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| Abstract: | Generalized strictly diagonally dominant matrix plays an important role in many fields, but it isn＇t easy to determine whether a matrix is a generalized strictly diagonally matrix or not. In this paper, several criteria for generalized strictly diagonally dominant matrices are obtained and a numerical example is given to illustrate the effectiveness of the results. |
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| Keywords: | generalized strictly diagonally dominant matrix. matrix α-diagonally dominant matrix irreducibility |
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