Some new bounds for the Hadamard product of a nonsingular M-matrix and its inverse

被引：0
|
作者：
Huang, Zhengge [1 ]
Wang, Ligong [1 ]
Xu, Zhong [1 ]
机构：
[1] Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an, Shaanxi,710072, China
来源：
IAENG International Journal of Applied Mathematics | 2016年 / 46卷 / 03期
关键词：
Inverse problems - Hadamard matrices;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Some new convergent sequences of the lower bounds of the minimum eigenvalue for the Hadamard product of a nonsingular M-matrix and an inverse M-matrix are given. Numerical examples show that these bounds could reach the true value of the minimum eigenvalue in some cases. These bounds in this paper improve some existing ones.
引用
收藏
页码：388 / 397
相关论文
共 50 条
  • [1] SOME NEW ESTIMATIONS FOR THE HADAMARD PRODUCT OF A NONSINGULAR M-MATRIX AND ITS INVERSE
    Huang, Zhengge
    Wang, Ligong
    Xu, Zhong
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2017, 20 (03): : 661 - 682
  • [2] Some new inequalities for the Hadamard product of a nonsingular M-matrix and its inverse
    Huang, Zhengge
    Xu, Zhong
    Lu, Quan
    LINEAR & MULTILINEAR ALGEBRA, 2016, 64 (07): : 1362 - 1378
  • [3] Some new bounds of the minimum eigenvalue for the Hadamard product of an M-matrix and an inverse M-matrix
    Zhao, Jianxing
    Sang, Caili
    OPEN MATHEMATICS, 2016, 14 : 81 - 88
  • [4] Some new bounds for the minimum eigenvalue of the Hadamard product of an M-matrix and an inverse M-matrix
    Yao-tang Li
    Feng Wang
    Chao-qian Li
    Jian-xing Zhao
    Journal of Inequalities and Applications, 2013
  • [5] Some new bounds for the minimum eigenvalue of the Hadamard product of an M-matrix and an inverse M-matrix
    Li, Yao-tang
    Wang, Feng
    Li, Chao-qian
    Zhao, Jian-xing
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [6] SOME NEW LOWER BOUNDS FOR THE MINIMUM EIGENVALUE OF THE HADAMARD PRODUCT OF AN M-MATRIX AND ITS INVERSE
    Li, Yaotang
    Liu, Xin
    Yang, Xiaoying
    Li, Chaoqian
    ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2011, 22 : 630 - 643
  • [7] New lower bounds on eigenvalue of the Hadamard product of an M-matrix and its inverse
    Li, Yao-Tang
    Chen, Fu-Bin
    Wang, De-Feng
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2009, 430 (04) : 1423 - 1431
  • [8] Some inequalities for the Hadamard product of an M-matrix and an inverse M-matrix
    Duanmei Zhou
    Guoliang Chen
    Guoxing Wu
    Xiangyun Zhang
    Journal of Inequalities and Applications, 2013
  • [9] Some inequalities for the Hadamard product of an M-matrix and an inverse M-matrix
    Zhou, Duanmei
    Chen, Guoliang
    Wu, Guoxing
    Zhang, Xiangyun
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [10] Some New Inequalities Involving the Hadamard Product of an M-matrix and Its Inverse
    Feng WANG
    Jian-xing ZHAO
    Chao-qian LI
    Acta Mathematicae Applicatae Sinica, 2017, 33 (02) : 505 - 514
12345