| 广义严格对角占优矩阵的一种判别法 |
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| 引用本文： | 关晋瑞,任孚鲛.广义严格对角占优矩阵的一种判别法[J].应用数学,2019,32(3):676-681. |
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| 作者姓名： | 关晋瑞 任孚鲛 |
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| 作者单位： | 太原师范学院数学系 |
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| 基金项目： | 国家自然科学基金(11401424);山西省自然科学基金(201601D011004);太原师范学院大学生创新创业训练项目(CXCY1861) |
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| 摘 要： | 广义严格对角占优矩阵是一类很重要的特殊矩阵,在理论与实际中具有广泛的应用,有关它的判别一直是人们研究的重点.本文给出广义严格对角占优矩阵的一种迭代判别法,证明了相应的收敛性理论,并用数值算例展示了该判别法的有效性.
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| 关 键 词： | 广义严格对角占优矩阵 不可约矩阵 迭代判别法 |
| 收稿时间： | 2018/8/22 0:00:00 |
An Iterative Method for Checking Generalized Strictly Diagonally Dominant Matrices |
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| GUAN Jinrui,REN Fujiao.An Iterative Method for Checking Generalized Strictly Diagonally Dominant Matrices[J].Mathematica Applicata,2019,32(3):676-681. |
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| Authors: | GUAN Jinrui REN Fujiao |
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| Institution: | (Department of Mathematics, Taiyuan Normal University, Jinzhong 030619, China) |
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| Abstract: | Generalized strictly diagonally dominant matrix is a kind of special matrix which has many applications in theory and practice, and research on its discrimination has become a hot topic in recent years. In this paper, an iterative method is proposed for identifying a matrix to be a generalized strictly diagonally dominant matrix or not. Theoretical analysis and numerical examples are given to show that the method is effective and efficient. |
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| Keywords: | Generalized strictly diagonally dominant matrix Irreducible matrix Iterative algorithm |
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