| 块对角占优矩阵的特殊应用 |
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| 引用本文： | 曾少杰,马瑞虹,陈燕芬.块对角占优矩阵的特殊应用[J].韩山师范学院学报,2013(3):23-26. |
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| 作者姓名： | 曾少杰 马瑞虹 陈燕芬 |
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| 作者单位： | 韩山师范学院数学与应用数学系,广东潮州521041 |
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| 基金项目： | 韩山师范学院大学生创新实验（实践）项目（项目编号：NO.2012-20） |
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| 摘 要： | 以矩阵范数性质的块对角占优矩阵和广义严格对角占优矩阵为工具，利用矩阵分块的方法引入了矩阵非奇异的判定条件，讨论了矩阵非奇异性的判定准则，并利用数值例子说明了所给结论的可行性和有效性．
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| 关 键 词： | 块对角占优矩阵 广义严格对角占优矩阵 分块 非奇异 |
Special Applications of Block Diagonally Dominant Matrices |
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| ZENG Shao-fie,MA Rui-hong,CHEN Yan-fen.Special Applications of Block Diagonally Dominant Matrices[J].Journal of Hanshan Teachers College,2013(3):23-26. |
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| Authors: | ZENG Shao-fie MA Rui-hong CHEN Yan-fen |
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| Institution: | (Department of Mathemtics and Applied Mathematics,Hanshan Normal University, Chaozhou 521041,China) |
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| Abstract: | This paper uses block diagonally dominant matrices and generalized strictly diagonally dominant matrix based on the nature of the matrix norm as tools, uses matrix partition method the nonsingular to import matrices conditions,discusses the criterias of the nonsingularity matrices,and uses the numerical examples to illustrate the feasibility and effectiveness of the conclusions. |
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| Keywords: | block diagonally dominant matrices generalized strictly diagonally dominant matrix partition nonsingularity |
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