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Multi-Dimensional Quantum-like Resources from Complex Synchronized Networks. [PDF]
Saha D, Scholes GD.
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A detection method for small casting defects based on bidirectional feature extraction. [PDF]
Zhang S, Li H, Ren P, Peng T, Meng X.
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A cost-effective image-based machine learning framework for automating active iron estimation in Peach (Prunus persica (L.) Batsch) Leaves. [PDF]
Imani A, Sepehr E, Rengel Z, Hajizade N.
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Semicircle Law for Hadamard Products
SIAM Journal on Matrix Analysis and Applications, 2007Summary: Assuming \(p/n\rightarrow 0\) as \(n\rightarrow\infty\), we will prove the weak and strong convergence to the semicircle law of the empirical spectral distribution of the Hadamard product of a normalized sample covariance matrix and a sparsing matrix, which is of the form \(A_p=\frac{1}{\sqrt{np}}(X_{m,n}X_{m,n}^*-\sigma^2nI_m)\circ D_{m ...
Bai, Z.D., Zhang, L.X.
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Analytic Continuation via Hadamard’s Product
SIAM Journal on Mathematical Analysis, 1978This paper presents an operational procedure derived from Hadamard’s convolution product which is used to construct continuations of analytic functions in the form of integral functional representations. These representations are more useful in the study of analytic properties than the underlying Taylor’s series, and the method extends the previously ...
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A Note on the Hadamard Product
Canadian Mathematical Bulletin, 1959Let A = (aij), B = (bjj), be two n-square matrices over the complex numbers. Then the n-square matrix H = (hjj) = ij(aijb) is called the Hadamard product of A and B, H = AoB, [l; p. 174]. Let the n2 - square matrix K = A⊗B denote the Kronecker product of A and B.
Marcus, M., Khan, N. A.
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Linear Algebra and its Applications, 2020
Given two \(n\times n\) matrices \(A, B\), the Hadamard product, \(A\circ B =[a_{ij}b_{ij}]\) of \(A\) and \(B\) behaves very differently from the usual matrix product \(AB\). For example, \(A\circ B = B\circ A\) but \(AB\not=BA\); if \(A\) and \(B\) are positive semidefinite, \(A\circ B\) is positive semidefinite, but \(AB\) is in general not (though \
Roger A. Horn, Zai Yang
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Given two \(n\times n\) matrices \(A, B\), the Hadamard product, \(A\circ B =[a_{ij}b_{ij}]\) of \(A\) and \(B\) behaves very differently from the usual matrix product \(AB\). For example, \(A\circ B = B\circ A\) but \(AB\not=BA\); if \(A\) and \(B\) are positive semidefinite, \(A\circ B\) is positive semidefinite, but \(AB\) is in general not (though \
Roger A. Horn, Zai Yang
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Hadamard products and Schwartz functions
Proceedings of the American Mathematical Society, 2023We show that functions of the form ∏ n ≥ 1 ( 1 + x 2 / a n
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Linear and Multilinear Algebra, 1974
The entry-wise product of arbitrary n × ncomplex matrices is studied. The principal tools used include the Kionecker product, field of values and diagonal multiplications. Inclusion theorems for the field of values and spectrum are developed in the general case and refined in special cases.
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The entry-wise product of arbitrary n × ncomplex matrices is studied. The principal tools used include the Kionecker product, field of values and diagonal multiplications. Inclusion theorems for the field of values and spectrum are developed in the general case and refined in special cases.
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Hadamard Products of Projective Varieties
This monograph deals with the Hadamard products of algebraic varieties. A typical subject of study in Algebraic Geometry are varieties constructed from other geometrical objects. The most well-known example is constituted by the secant varieties, which are obtained through the construction of the join of two algebraic varieties, which, in turn, is ...Bocci, Cristiano, Carlini, Enrico
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