| 广义严格对角占优矩阵的几个判定条件 |
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| 引用本文： | 张劲松,李红.广义严格对角占优矩阵的几个判定条件[J].数学的实践与认识,2014(3). |
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| 作者姓名： | 张劲松 李红 |
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| 作者单位： | 九江学院理学院; |
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| 基金项目： | 国家自然科学基金(71261010);江苏省自然科学基金(2010GQS0129) |
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| 摘 要： | 广义严格对角占优矩阵在计算数学、数学物理、控制论等众多领域有着广泛而重要的应用.但实际判断一个矩阵是否为广义严格对角占优矩阵却是困难的.本文利用α-对角占优矩阵的性质,给出了广义严格对角占优矩阵的几个判定条件,扩大了判别范围.
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| 关 键 词： | 广义严格对角占优矩阵 判定条件 α-对角占优矩阵. |
Some Determinant Conditions for Generalized Strictly Diagonally Dominant Matrices |
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| Abstract: | Generalized strictly diagonally dominant matrices play a wide and important role in computational mathematics,mathematical physics,theory of dynamical systems etc.But it is difficult to judge a matrix is or not generalized strictly diagonally dominant matrix.In this paper,by using the properties of α-diagonally dominant matrix,we obtained some determinant conditions for generalized strictly diagonally dominant matrix,which enlarge the identification range. |
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| Keywords: | generalized strictly diagonally dominant matrix determinant condition α-diagonally dominant matrix |
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