Results 61 to 70 of about 5,807,139 (254)
Hadamard products and golden - thompson type inequalities [PDF]
, 1996 By using Hadamard products we give some reasonable upper and lower bounds of Golden-Thompson type for ∥eH1 +…+ Hm∥, where Hi(i = 1, 2, …, m) are arbitrary Hermitian matrices and ∥·∥ is an arbitrary unitarily invariant ...
Ando, T.
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Complex Hadamard Matrices contained in a Bose–Mesner algebra
Special Matrices, 2015 Acomplex Hadamard matrix is a square matrix H with complex entries of absolute value 1 satisfying HH* = nI, where * stands for the Hermitian transpose and I is the identity matrix of order n.
Ikuta Takuya, Munemasa Akihiro
doaj +1 more source
Tikrit Journal of Pure Science, 2023 In this paper, we have introduced two subclasses and of meromorphically p-valent functions with positive and negative coefficients, defined by differential operator in the punctured unit disk and obtain some sharp results including coefficient ...
Hazha Zirar Hussain
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Some spectral norm inequalities on Hadamard products of nonnegative matrices
Linear Algebra and its Applications, 2018 Let A and B be nonnegative square matrices of the same order. Denote by ‖ ⋅ ‖ and ρ ( ⋅ ) the spectral norm and the spectral radius respectively. We prove the following inequalities: ‖ A ∘ B ‖ ≤ ‖ A ∘ A ‖ 1 2 ‖ B ∘ B ‖ 1 2 ; ‖ A ∘ B ‖ ≤ ρ 1 2 ( A T B ∘ B
Yun Zhang
semanticscholar +1 more source
Some statistical properties of Hadamard products of random matrices [PDF]
, 2001 The mean of the Hadamard product of two linear combinations of a random matrix is presented in terms of the mean and variance of the random matrix for any distribution. The variance is given for the normal distribution.
Neudecker, Heinz +3 more
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An arithmetic-geometric-harmonic mean inequality involving Hadamard products [PDF]
, 1993 Given matrices of the same size, A = [aij] and B = [bij], we define their Hadamard product to be A ∘ B = [aijbij]. We show that if xi > 0 and q ⩾ p ⩾ 0, then the n × n matrices xixjxi+xj,,xi−1+xj−1xixj,and xip+xjpxiq+xjq are positive definite, and we ...
R. Mathias
semanticscholar +2 more sources
A Note on Hermite-Hadamard Inequalities for Products of Convex Functions
Journal of Applied Mathematics, 2013 We obtain some new Hermite-Hadamard type inequalities for products of convex functions. We conclude that the results obtained in this work are the refinements of the present results.
Feixiang Chen
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Efficient Screening of Organic Singlet Fission Molecules Using Graph Neural Networks
Advanced Science, EarlyView.A high‐throughput screening framework based on graph neural networks (GNNs) and multi‐level validation facilitates the identification of singlet fission (SF) candidates. By efficiently predicting excitation energies across 20 million molecules, and integrating TDDFT calculations, synthetic accessibility assessments, and GW+BSE calculations, this ...
Li Fu +5 more
wiley +1 more source
New Hadamard Type Inequalities for Modified h-Convex Functions
Fractal and Fractional, 2023 In this article, we demonstrated various Hermite–Hadamard and Fejér type inequalities for modified h-convex functions. We showed several inequalities for the products of two modified h-convex functions.
Daniel Breaz +4 more
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Product of four Hadamard matrices
Journal of Combinatorial Theory, Series A, 1992 The authors show the following interesting theorem on Hadamard matrices: If there exist Hadamard matrices of order \(4m\), \(4n\), \(4p\) and \(4q\), then there exists an Hadamard matrix of order \(16mnpq\).
Craigen, R. +2 more
openaire +2 more sources