| 对称双对角占优矩阵及其应用 |
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| 引用本文： | 郭志军,江山.对称双对角占优矩阵及其应用[J].扬州大学学报(自然科学版),2011,14(1). |
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| 作者姓名： | 郭志军 江山 |
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| 作者单位： | 1. 湖南城市学院数学与计算科学系,湖南益阳,413000
2. 扬州大学数学科学学院,江苏扬州,225002 |
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| 基金项目： | 国家自然科学基金数学天元基金，湖南省教育厅优秀青年基金，益阳市科技计划项目 |
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| 摘 要： | 引进两类对称双对角占优矩阵,利用这一概念获得非奇H矩阵几个新的充分条件,从而扩大矩阵的判别范围,推广一些已有的结论,并通过数值例子说明所得结论的有效性.
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| 关 键 词： | 对称双对角占优矩阵 M矩阵 非奇H矩阵 |
Symmetrical double diagonally dominant matrices and its applications |
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| GUO Zhi-jun,JIANG Shan.Symmetrical double diagonally dominant matrices and its applications[J].Journal of Yangzhou University(Natural Science Edition),2011,14(1). |
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| Authors: | GUO Zhi-jun JIANG Shan |
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| Institution: | GUO Zhi-jun1,JIANG Shan2(1.Dept of Math & Comput Sci,Hunan City Univ,Yiyang 413000,China,2.Sch of Math Sci,Yangzhou Univ,Yangzhou 225002,China) |
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| Abstract: | In this paper,the concepts about two kinds of symmetrical double diagonally dominant matrices are introduced.Using these concepts,the author obtains several new sufficient conditions for the nonsingular H matrices,which enlarge the identification range and generalize some existing results.The numerical examples illustrate the effectiveness of the conclusions. |
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| Keywords: | symmetrical double diagonally dominant matrix M matrix nonsingular H-matrix |
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