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| 广义严格对角占优矩阵的一组判定条件 | |
| 引用本文： | 周晓晶,许洁,孙玉祥. 广义严格对角占优矩阵的一组判定条件[J]. 数学的实践与认识, 2012, 42(15): 244-250 |
| 作者姓名： | 周晓晶 许洁 孙玉祥 |
| 作者单位： | 1. 黑龙江八一农垦大学文理学院数学系,黑龙江大庆,163319 2. 吉林化工学院理学院数学系,吉林吉林,132022 3. 北华大学理学院,吉林吉林,132013 |
| 摘 要： | 以M-矩阵以及α-对角占优矩阵为工具,对0≤α≤1,借助Hlder不等式给出了广义严格对角占优矩阵以及非奇异M-矩阵的几则新的充分条件,拓广了近期的一些相关结果,并用数值例子说明这些结果的有效性. |
| 关 键 词： | 广义严格对角占优矩阵 α-对角占优矩阵 非奇异M-矩阵 |
Some Criteria for Generalized Strictly Diagonally Dominant Matrices |
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| ZHOU Xiao-Jing , XU Jie , SUN Yu-Xiang. Some Criteria for Generalized Strictly Diagonally Dominant Matrices[J]. Mathematics in Practice and Theory, 2012, 42(15): 244-250 | |
| Authors: | ZHOU Xiao-Jing XU Jie SUN Yu-Xiang |
| Affiliation: | 1.Department of Mathematics,Heilongjiang Bayi Agricultural University,Daqing 163319,China) (2.Department of Mathematics,Institute of science,Jilin Institute of Chemical Technology,Jilin 132022,China) (3.College of Science,Beihua University,Jilin 132013,China) |
| Abstract: | In this paper,we adopt M-matrix and a-diagonally dominant matrix,for 0≤α≤1,using Holder inequality and give some criteria for generalized strictly diagonally dominant matrix.Thus some recent given results are improved and generalized.New criteria's advantages are illustrated by some numerical examples. |
| Keywords: | Generalized strictly diagonally dominant matrix α-diagonally dominant matrix nonsingular M-matrix |
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