Results 141 to 150 of about 54,740 (185)

Semicircle Law for Hadamard Products

SIAM Journal on Matrix Analysis and Applications, 2007
Summary: 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, 1978
This 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, 1959
Let 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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Rank of a Hadamard product

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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Hadamard products and Schwartz functions

Proceedings of the American Mathematical Society, 2023
We show that functions of the form ∏ n ≥ 1 ( 1 + x 2 / a n
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Hadamard products of matrices

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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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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