| 非奇异H矩阵的一个实用充分条件 |
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| 引用本文： | 杨亚强.非奇异H矩阵的一个实用充分条件[J].宝鸡文理学院学报(自然科学版),2012,32(1):32-35. |
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| 作者姓名： | 杨亚强 |
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| 作者单位： | 宝鸡文理学院数学系,陕西宝鸡,721013 |
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| 基金项目： | 国家自然科学基金资助项目(10071048);宝鸡文理学院重点项目(ZK09123) |
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| 摘 要： | 目的给出判断一个矩阵为H矩阵的充分条件。方法采用逻辑推理的方法进行了证明。结果得到了当所给矩阵满足定理条件时,判断其为H矩阵的条件。结论此结果对于控制系统的稳定性、特征值分布、线性方程组迭代解等方面都具有一定的理论意义。
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| 关 键 词： | 非奇异H矩阵 对角占优 严格对角占优 |
Some sufficient conditions for nonsingular H-matrices |
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| YANG Ya-qiang.Some sufficient conditions for nonsingular H-matrices[J].Journal of Baoji College of Arts and Science(Natural Science Edition),2012,32(1):32-35. |
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| Authors: | YANG Ya-qiang |
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| Institution: | YANG Ya-qiang(Department of Mathematics,Baoji University of Arts and Sciences,Baoji 721013,Shaanxi,China) |
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| Abstract: | Aim To find out the condition for judging an irreducible matrix or a matrix with nonzero element chain to be an H-matrix.Methods It is proved with logical inference method.Results The condition for judging an irreducible matrix or a matrix with nonzero element chain to be an H-matrix is derived.Conclusion The result is significant in many fields,such as the stability of control system,the distribution of characteristic value and the iterative solutions of the systems of linear equations |
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| Keywords: | nonsingular H-matrix diagonal dominance strictly diagonally dominant |
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