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Hadamard Products of Projective Varieties
Frontiers in MathematicsThis 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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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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