Some determinantal inequalities for Hadamard product of matrices
نویسندگان
چکیده
منابع مشابه
Some New Inequalities for Eigenvalues of the Hadamard Product and the Fan Product of Matrices
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(A B) 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 ou...
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Correspondence: [email protected] Department of Mathematics, Dezhou University, Dezhou, 253023 Shandong, China Abstract Using a estimate on the Perron root of the nonnegative matrix in terms of paths in the associated directed graph, two new upper bounds for the Hadamard product of matrices are proposed. These bounds improve some existing results and this is shown by numerical examples. MS...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2003
ISSN: 0024-3795
DOI: 10.1016/s0024-3795(02)00659-6