On an eigenvalue inequality involving the Hadamard product
نویسندگان
چکیده
منابع مشابه
An Arithmetic-Geometric-Harmonic Mean Inequality Involving Hadamard Products
Given matrices of the same size, A = a ij ] and B = b ij ], we deene their Hadamard Product to be A B = a ij b ij ]. We show that if x i > 0 and q p 0 then the n n matrices q j # are positive deenite and relate these facts to some matrix valued arithmetic-geometric-harmonic mean inequalities-some of which involve Hadamard products and others unitarily invariant norms. It is known that if A is p...
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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 ...
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Copyright q 2010 Erhan Set et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. We establish some new Hermite-Hadamard-type inequalities involving product of two functions. Other integral inequalities for two functions are obtai...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2017
ISSN: 0024-3795
DOI: 10.1016/j.laa.2016.11.017