Some New Inequalities for Eigenvalues of the Hadamard Product and the Fan Product of Matrices
| Main Authors: | Jing Li, Guang Zhou |
|---|---|
| Format: | Article eJournal |
| Bahasa: | eng |
| Terbitan: |
, 2013
|
| Online Access: |
https://zenodo.org/record/1335746 |
Daftar Isi:
- 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.