scholarly journals New lower bounds on eigenvalue of the Hadamard product of an M-matrix and its inverse

2009 ◽  
Vol 430 (4) ◽  
pp. 1423-1431 ◽  
Author(s):  
Yao-Tang Li ◽  
Fu-Bin Chen ◽  
De-Feng Wang
Keyword(s):  
Lower Bounds ◽  
Hadamard Product

scholarly journals Lower bounds for the minimum eigenvalue of Hadamard product of an M-matrix and its inverse

2007 ◽  
Vol 420 (1) ◽  
pp. 235-247 ◽  
Author(s):  
Hou-Biao Li ◽  
Ting-Zhu Huang ◽  
Shu-Qian Shen ◽  
Hong Li
Keyword(s):  
Lower Bounds ◽  
Hadamard Product ◽  
Minimum Eigenvalue

scholarly journals Some new bounds of the minimum eigenvalue for the Hadamard product of an M-matrix and an inverse M-matrix

2016 ◽  
Vol 14 (1) ◽  
pp. 81-88
Author(s):  
Jianxing Zhao ◽  
Caili Sang
Keyword(s):  
Lower Bounds ◽  
Hadamard Product ◽  
Minimum Eigenvalue ◽  
Numerical Examples ◽  
True Value ◽  
Convergent Sequences

AbstractSome convergent sequences of the lower bounds of the minimum eigenvalue for the Hadamard product of a nonsingular M-matrix B and the inverse of a nonsingular M-matrix A are given by using Brauer’s theorem. It is proved that these sequences are monotone increasing, and numerical examples are given to show that these sequences could reach the true value of the minimum eigenvalue in some cases. These results in this paper improve some known results.

On the lower bounds for the minimum eigenvalue of the Hadamard product of an M-matrix and its inverse

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Mustafa Özel ◽  
Dilek Varol
Keyword(s):  
Lower Bounds ◽  
Hadamard Product ◽  
Minimum Eigenvalue ◽  
Numerical Examples ◽  
Better Than

AbstractRecently, some authors have established a number of inequalities involving the minimum eigenvalue for the Hadamard product of M-matrices. In this paper, we improve these results and give some new lower bounds on the minimum eigenvalue for the Hadamard product of an M-matrix A and its inverse {A^{-1}}. Finally, it is shown by the numerical examples that our bounds are also better than some previous results.

Two Lower Bounds for Shortest Double-Base Number System

2015 ◽  
Vol E98.A (6) ◽  
pp. 1310-1312 ◽  
Author(s):  
Parinya CHALERMSOOK ◽  
Hiroshi IMAI ◽  
Vorapong SUPPAKITPAISARN
Keyword(s):  
Lower Bounds ◽  
Number System ◽  
Base Number ◽  
Double Base

Lower bounds on the dimension of the Rauzy gasket

2020 ◽  
Vol 148 (2) ◽  
pp. 321-327
Author(s):  
Rodolfo Gutiérrez-Romo ◽  
Carlos Matheus
Keyword(s):  
Lower Bounds
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