Some New Inequalities For Eigenvalues Of The Hadamard Product And The Fan Product Of Matrices
Jing Li, Guang Zhou · Zenodo (CERN European Organization for Nuclear Research) · 2013
Let A and B be nonnegative matrices. A new upper bound on the spectral radius ρ(A◦B) is obtained. Meanwhile, a new lower bound on the smallest eigenvalue q(AB) for the Fan product, and a new lower bound on the minimum eigenvalue q(B ◦A−1) for the Hadamard product of B and A−1 of two nonsingular M-matrices A and B are given. Some results of comparison are also given in theory. To illustrate our results, numerical examples are considered.