| 具有非零元素链的矩阵为H矩阵的判定条件 |
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| 引用本文： | 杨亚强,于建伟.具有非零元素链的矩阵为H矩阵的判定条件[J].宝鸡文理学院学报(自然科学版),2011,31(1):16-18. |
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| 作者姓名： | 杨亚强 于建伟 |
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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： | 宝鸡文理学院重点基金资助项目，宝鸡文理学院基金资助项目 |
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| 摘 要： | 目的解决判断一个具有非零元素链的矩阵为H矩阵的条件。方法采用逻辑推理的方法进行了证明。结果得到了当矩阵含有非零元素链时,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重要的理论意义。
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| 关 键 词： | 非奇异H矩阵 对角占优 非零元素链 |
A critical condition for the matrix with nonzero elements chain to be an H-matrices |
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| YANG Ya-qiang,YU Jian-wei.A critical condition for the matrix with nonzero elements chain to be an H-matrices[J].Journal of Baoji College of Arts and Science(Natural Science Edition),2011,31(1):16-18. |
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| Authors: | YANG Ya-qiang YU Jian-wei |
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| Institution: | YANG Ya-qiang,YU Jian-wei(Department of Mathematics,Baoji University of Arts and Sciences,Baoji 721013,Shaanxi,China) |
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| Abstract: | Aim To study the conditions of deciding matrices with nonzero element chains as H-matrices.Methods Logical reasoning is used to prove the aforesaid conditions.Results The conditions which are used to decide the matrices containing nonzero element chains to be H-matrices are obtained.Conclusion The result plays a leading role in the theoretical studies of the control of system stability,the distribution of eigenvalue,the iterative solution of linear equations. |
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| Keywords: | nonsingular H-matrix diagonal dominance nonzero elements chain |
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