摘要
根据M-矩阵Fan积的性质,对两个M-矩阵Fan积最小特征值的下界做了进一步的研究.利用特征值包含域定理,给出两个M-矩阵Fan积最小特征值下界的新估计式.新估计式只依赖于两个M-矩阵的元素,计算简单易行.最后给出数值例子验证新估计式,提高了现有估计式的精度.
According to the properties of the Fan product of M-matrices,new lower bounds of the minimum eigenvalue for the Fan product of two M-matrices are given by using the characteristic value containing domain theorems.The new estimation formula only depend on the entries of M-matrices,therefore,they are easy to calculate.Finally,numerical example is given to show that the new bounds have improved precision of several existing results.
作者
钟琴
牟谷芳
ZHONG Qin;MOU Gu-fang(Deptt.of Mathematics,Sichuan University Jinjiang College,Pengshan 620860,China;College of Mathematics and Information Science,Leshan Normal University,Leshan 614000,China)
出处
《中北大学学报（自然科学版）》
CAS
2018年第6期637-641,共5页
Journal of North University of China(Natural Science Edition)
基金
国家自然科学基金面上项目(11471225)
四川省教育厅科研项目(18ZB0364)
四川大学锦江学院青年教师科研项目(QNJJ-2017-A09)
关键词
M-矩阵
Fan积
最小特征值
下界
M-matrices
Fan product
minimum eigenvalue
lower bound
