Matrix Inequalities for the Fan Product and the Hadamard Product of Matrices

• 作者: Dongjie Gao
• 来源期刊: 线性代数与矩阵理论研究进展(英文)
• 学科: 数学
• 关键词: M-MATRIX NONNEGATIVE Matrix FAN PRODUCT HADAMARD PRODUCT Spectral Radius Minimum EIGENVALUE
• 年，卷（期）: 2015,（3）
• 页码范围: 90-97
• 页数: 8页
• 分类号: O1

摘要

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.