New inequalities for the Hadamard product of an M-matrix and an inverse M-matrix

Jianxing Zhao, Caili Sang, Feng Wang · Journal of Inequalities and Applications · 2015

Let A and B be nonsingular M-matrices. Some new convergent sequences of the lower bounds of the minimum eigenvalue $\tau(B\circ A^{-1})$ for the Hadamard product of B and $A^{-1}$ are given. Numerical examples are given to show that these sequences are better than some known results and could reach the true value of the minimum eigenvalue in some cases.

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