摘要
非奇异M-矩阵最小特征值的估计是矩阵分析理论研究中的重要问题.利用H?lder不等式,给出非奇异M-矩阵最小特征值的下界估计式.新估计式只与M-矩阵的元素有关,易于计算.数值例子说明新估计式改进了现有的相关结果.
Estimation the bounds of the minimum eigenvalue of nonsingular M -matrix is important part in the theory of matrix. A new lower bound on the minimum eigenvalue of nonsingular M -matrix was given by using H lder inequality. The new estimating formula was easy to calculate since it only depended on the entries of M -matrix. Numerical results showed that the new lower bound estimates could improve considerably some previous results.
作者
钟琴
ZHONG Qin(Department of Mathematics, Sichuan University Jinjiang College, Pengshan 620860, China)
出处
《安徽大学学报（自然科学版）》
CAS
北大核心
2019年第3期1-6,共6页
Journal of Anhui University(Natural Science Edition)
基金
国家自然科学基金面上项目(11471225)
四川省教育厅自然科学研究项目(18ZB0364)
四川大学锦江学院青年教师科研项目(QNJJ-2018-A01)
关键词
M-矩阵
最小特征值
下界
M-matrix
minimum eigenvalue
lower bound
