Article ID Journal Published Year Pages File Type
4602418 Linear Algebra and its Applications 2010 13 Pages PDF
Abstract

A new lower bound on the smallest eigenvalue τ(A★B) for the Fan product of two nonsingular M-matrices A and B is given. Meanwhile, we also obtain a new upper bound on the spectral radius ρ(A∘B) for nonnegative matrices A and B. These bounds improve some results of Huang (2008) [R. Huang, Some inequalities for the Hadamard product and the Fan product of matrices, Linear Algebra Appl. 428 (2008) 1551–1559].

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory