Lower bounds on the minimum eigenvalue of the Fan product of several M-matrices

Abstract

Abstract The concept of the Fan product of several M-matrices is introduced. Furthermore, two new lower bounds of the minimum eigenvalue of the Fan product of several M-matrices are proposed. These obtained new lower bounds generalize and improve some earlier findings. One example is presented to illustrate the precision of the given lower bounds.

Keywords

• Fan product
• M-matrix
• Minimum eigenvalue
• Irreducible