On Hadamard and Kronecker Products Over Matrix of Matrices

Hadamard, Khatri-rao, Kronecker and Other Matrix Products

In this paper we present a brief overview on Hadamard, KhatriRao, Kronecker and several related non-simple matrix products and their properties. We include practical applications, in different areas, of some of the al-

On the Connection between Kronecker and Hadamard Convolution Products of Matrices and Some Applications

On Kronecker products, tensor products and matrix differential calculus

The algebra of the Kronecker products of matrices is recapitulated using a notation that reveals the tensor structures of the matrices. It is claimed that many of the difficulties that are encountered in working with the algebra can be alleviated by paying close attention to the indices that are concealed beneath the conventional matrix notation. The vectorisation operations and the commutation...

Matrix Differential Calculus with Applications to Simple, Hadamard, and Kronecker Products

Several definitions are in use for the derivative of an mx p matrix function F(X) with respect to its n x q matrix argument X. We argue that only one of these definitions is a viable one, and that to study smooth maps from the space of n x q matrices to the space of m x p matrices it is often more convenient to study the map from nq-space to mp-space. Also, several procedures exist for a calcul...

Notes on hadamard products of matrices - Linear and Multilinear Algebra