M-矩阵最小特征值的上界序列

钟琴,赵春燕,王妍,周鑫

doi:10.13718/j.cnki.xsxb.2018.06.002

西南师范大学学报(自然科学版)

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M-矩阵最小特征值的上界序列

钟琴,赵春燕,王妍,周鑫. M-矩阵最小特征值的上界序列[J]. 西南师范大学学报(自然科学版), 2018, 43(6): 6-10. doi: 10.13718/j.cnki.xsxb.2018.06.002

引用本文:

钟琴,赵春燕,王妍,周鑫. M-矩阵最小特征值的上界序列[J]. 西南师范大学学报(自然科学版), 2018, 43(6): 6-10. doi: 10.13718/j.cnki.xsxb.2018.06.002

ZHONG Qin, ZHAO Chun-yan, WANG Yan, ZHOU Xin. Sequences of Upper Bounds for Minimum Eigenvalue of M-Matrix[J]. Journal of Southwest China Normal University(Natural Science Edition), 2018, 43(6): 6-10. doi: 10.13718/j.cnki.xsxb.2018.06.002

Citation:

ZHONG Qin, ZHAO Chun-yan, WANG Yan, ZHOU Xin. Sequences of Upper Bounds for Minimum Eigenvalue of M-Matrix[J]. Journal of Southwest China Normal University(Natural Science Edition), 2018, 43(6): 6-10. doi: 10.13718/j.cnki.xsxb.2018.06.002

M-矩阵最小特征值的上界序列

钟琴,赵春燕,王妍,周鑫

四川大学锦江学院数学教学部, 四川彭山 620860

Sequences of Upper Bounds for Minimum Eigenvalue of M-Matrix

ZHONG Qin, ZHAO Chun-yan, WANG Yan, ZHOU Xin

Department of Mathematics, Sichuan University Jinjiang College, Pengshan Sichuan 620860, China

摘要: M-矩阵最小特征值的估计是矩阵理论研究中的重要组成部分.如果上下界能够表示为关于M-矩阵元素的易于计算的函数，那么这种估计价值更高.通过构造3个收敛序列得到M-矩阵最小特征值的新界值.该方法易于计算且能得到较紧的界，数值算例表明其结果比有关结论更加精确.
- M-矩阵 /
- 最小特征值 /
- 上界 /
- 非负矩阵 /
- 谱半径
Abstract: Estimation the bounds for the minimum eigenvalue of M-matrix is important part in the theory of matrices. It is more practical value when the bounds are expressed easily calculated function in element of matrix. New bounds for the minimum eigenvalue of M-matrix were obtained by constructing three convergent sequences. The method can easily and tightly get the better bounds. Numerical example is given to illustrate the effectiveness by comparing with the relevant conclusions.
- M-matrix /
- minimum eigenvalue /
- upper bounds /
- nonnegative matrix /
- spectral radius .

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