TY - JFULL
AU - Jing Li and Guang Zhou
PY - 2013/4/
TI - Some New Inequalities for Eigenvalues of the Hadamard Product and the Fan Product of Matrices
T2 - International Journal of Mathematical and Computational Sciences
SP - 408
EP - 413
VL - 7
SN - 1307-6892
UR - https://publications.waset.org/pdf/16985
PU - World Academy of Science, Engineering and Technology
NX - Open Science Index 75, 2013
N2 - 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.
ER -