| 不可约Z-矩阵最小特征值的改进算法 |
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| 引用本文： | 姜立新. 不可约Z-矩阵最小特征值的改进算法[J]. 枣庄师专学报, 2011, 28(2): 29-31 |
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| 作者姓名： | 姜立新 |
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| 作者单位： | 德州职业技术学院,山东,德州,253000 |
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| 摘 要： | 首先给出了不可约非负矩阵最大特征值的新估计,并进一步利用相似变换构造了一列相似矩阵,从而得到不可约非负矩阵最大特征值的逐步压缩的上下界,其极限为所要求的最大特征值.然后利用Z-矩阵与非负矩阵的关系,给出了不可约Z-矩阵最小特征值的改进算法.该算法迭代过程简单,迭代速度快.最后用数值实验加以验证.
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| 关 键 词： | 不可约 Z-矩阵 最小特征值 相似变换 |
An Improved Numerical Algorithm for the Minimal Eigenvalue of an Irreducible Z-matrix |
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| JIANG Li-xin. An Improved Numerical Algorithm for the Minimal Eigenvalue of an Irreducible Z-matrix[J]. Journal of Zaozhuang Teachers' College, 2011, 28(2): 29-31 |
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| Authors: | JIANG Li-xin |
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| Affiliation: | JIANG Li - xin (De Zhou Vocational and Technical College ,De zhou 253000,China) |
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| Abstract: | A new estimate on the maximal eigenvalue of a nonnegative matrix are firstly given. Then by using a similarity trans- formation , a series of upper and lower bounds on the maximal eigenvalue of a nonnegative matrix are obtained, these bounds gradually approach the maximal eigenvalue. Finally, based on the relation between the Z -matrix and the nonnegative matrix, An improved numerical algorithm for computing the minimal eigenvalue of an irreducible Z - matrix is proposed. This algorithm iterative process simple, iterative speed. Finally using numerical experiment verified. |
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| Keywords: | irreducible z - matrices minimal eigenvalue diagonally transform |
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