Several new inequalities for the minimum eigenvalue of M-matrices

Abstract

Abstract Several convergent sequences of the lower bounds for the minimum eigenvalue of M-matrices are given. It is proved that these sequences are monotone increasing and improve some existing results. Finally, 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.

Keywords

• M-matrix
• nonnegative matrix
• Hadamard product
• spectral radius
• minimum eigenvalue