Some new inequalities for the Hadamard product of M-matrices

被引：0
|
作者：
Fu-bin Chen
机构：
[1] Kunming University of Science and Technology,Department of Engineering, Oxbridge College
来源：
Journal of Inequalities and Applications | / 2013卷
关键词：
-matrix; lower bounds; Hadamard product; minimum eigenvalue;
D O I：
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学科分类号：
摘要：
If A and B are n×n nonsingular M-matrices, a new lower bound for the minimum eigenvalue τ(B∘A−1) for the Hadamard product of B and A−1 is derived. As a consequence, a new lower bound for the minimum eigenvalue τ(A∘A−1) for the Hadamard product of A and its inverse A−1 is given. Theoretical results and an example demonstrate that the new bounds are better than some existing ones.
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