Abstract
The Hadamard product of two matrices multiplied together elementwise is a rather neglected concept in matrix theory and has found only brief and scattered application in statistical analysis. We survey the known results on Hadamard products in a historical perspective and obtain various extensions. New applications to multivariate analysis are developed with complicated expressions appearing in closed form. These lead to new results concerning Hadamard products of positive definite matrices. The paper ends with an exhaustive bibliography of books and articles related to Hadamard products.
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