Title of article :
Some Lower Bounds with a Parameter for the Minimum Eigenvalue of Hadamard Product of M-Matrices and Inverse M-Matrices
Author/Authors :
Zeng ، Wenlong Department of Mathematics - School of Mathematics and Computational Science - Xiangtan University , Liu ، Jianzhou Department of Mathematics - School of Mathematics and Computational Science - Xiangtan University , Wang ، Juan Department of Mathematics - School of Mathematics and Computational Science - Xiangtan University
Abstract :
In this paper,we present some lower bounds for the minimum eigenvalue ofHadamard product of an M-matrix and inverse M-matrix, by virtue of some eigenvalue inclusion sets with parameter α and inequality scaling techniques. And we analyze relationships between the sizes of the obtained lower bounds. A series of numerical examples are given to demonstrate that our results can be more accurate than the existing results by selecting an appropriate parameter α.
Keywords :
Minimum eigenvalue , Hadamard product , M , matrix , Eigenvalue inclusion sets with parameter α
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
