A new inequality on the minimum eigenvalue for the Fan product of nonsingular M-matrices is given. In addition, a new inequality on the spectral radius of the Hadamard product of nonnegative matrices is also obtained....A new inequality on the minimum eigenvalue for the Fan product of nonsingular M-matrices is given. In addition, a new inequality on the spectral radius of the Hadamard product of nonnegative matrices is also obtained. These inequalities can improve considerably some previous results.展开更多
An upper bound and a lower bound for a0 are given such that aI+B∈M-1 for a>a0 and aI+BM-1 for a≤a0, where B is a nonnegative matrix and satisfies that for any positive constant β,βI+B is a power invariant zero ...An upper bound and a lower bound for a0 are given such that aI+B∈M-1 for a>a0 and aI+BM-1 for a≤a0, where B is a nonnegative matrix and satisfies that for any positive constant β,βI+B is a power invariant zero pattern matrix.展开更多
文摘A new inequality on the minimum eigenvalue for the Fan product of nonsingular M-matrices is given. In addition, a new inequality on the spectral radius of the Hadamard product of nonnegative matrices is also obtained. These inequalities can improve considerably some previous results.
基金This project is supported by Science and Art Foundation of Central South University of Technology.
文摘An upper bound and a lower bound for a0 are given such that aI+B∈M-1 for a>a0 and aI+BM-1 for a≤a0, where B is a nonnegative matrix and satisfies that for any positive constant β,βI+B is a power invariant zero pattern matrix.
