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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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Product of Resolvents on Hadamard Manifolds

Mediterranean Journal of Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ahmadi, Fatemeh   +2 more
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Warped products of Hadamard spaces

manuscripta mathematica, 1998
Geodesics in a warped product \(B\times_fF\) of intrinsic metric spaces are examined. Since the projection of a geodesic to the base \(B\) is essentially independent of the fibre, conservative mechanics makes sense in any intrinsic metric space. Let \(B\) and \(F\) be Hadamard spaces.
Alexander, Stephanie B.   +1 more
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Trigonometric Integrals and Hadamard Products

The American Mathematical Monthly, 1999
(1999). Trigonometric Integrals and Hadamard Products. The American Mathematical Monthly: Vol. 106, No. 1, pp. 36-42.
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Hadamard products and generalized inverses

Gazette - Australian Mathematical Society, 1999
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Mond, B., Pečarić, J. E.
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On the Asymptotic Expansion of Hadamard Products

Mathematische Nachrichten, 1997
AbstractWe consider functions f and g which are holomoxphic on closed sectors in C where they admit an asymptotic representation at ∞ in the form of power series in z‐1. We give a simple geometrical condition under which the Hadamard product f*g of f and g porsesses again an asymp totic expansion at ∞.
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Hadamard products of convex schlicht functions

1977
Artykuł w: Annales Universitatis Mariae Curie-Skłodowska. Sectio A, Mathematica. Vol. 29 (1975), s. 49-60 ; streszcz. pol., ros. ; Artykuł w: Annales Universitatis Mariae Curie-Skłodowska. Sectio A, Mathematica. Vol. 29 (1975), s. 49-60 ; streszcz. pol., ros.
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