BRUALDI-TYPE INEQUALITIES ON THE MINIMUM EIGENVALUE FOR THE FAN PRODUCT OF M-TENSORS

摘要

In this paper, we focus on some inequalities for the Fan product of M-tensors. Based on Brualdi-type eigenvalue inclusion sets of M-tensors and similarity transformation methods, we establish Brualdi-type inequalities on the minimum eigenvalue for the Fan product of two M-tensors. Furthermore, we discuss the advantages of different Brualdi-type inequalities. Numerical examples verify the validity of the conclusions.