Some inequalities for the 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...
متن کاملTwo inequalities for the Hadamard product of matrices
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...
متن کاملOn inequalities involving the Hadamard product of matrices
Abstract. Recently, the authors established a number of inequalities involving integer powers of the Hadamard product of two positive de nite Hermitian matrices. Here these results are extended in two ways. First, the restriction to integer powers is relaxed to include all real numbers not in the open interval ( 1; 1). Second, the results are extended to the Hadamard product of any nite number ...
متن کاملextensions of some polynomial inequalities to the polar derivative
توسیع تعدادی از نامساوی های چند جمله ای در مشتق قطبی
15 صفحه اولSome Inequalities for Operator Means and Hadamard Product
We prove some general theorems which unify results on arithmetic-geometric mean and some other related matrix inequalities. As an application we obtain some results involving Hadamard product of matrices. Mathematics subject classification (2010): 47A30 15A60.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 1996
ISSN: 0024-3795
DOI: 10.1016/0024-3795(94)00297-5