Traces of Hadamard and Kronecker products of matrices

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

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-

Rank-deficient submatrices of Kronecker products of Fourier matrices

We provide a set of maximal rank-deficient submatrices of a Kronecker product of two matrices A ⊗ B, and in particular the Kronecker product of Fourier matrices F = Fn1 ⊗ . . . ⊗ Fnk . We show how in the latter case, maximal rank-deficient submatrices can be constructedas tilings of rank-one blocks. Such tilings exist for any subgroup of a suitable Abelian group associated to the matrix F . The...

Permutation Equivalence Classes of Kronecker Products of Unitary Fourier Matrices

Kronecker products of unitary Fourier matrices play important role in solving multilevel circulant systems by a multidimensional Fast Fourier Transform. They are also special cases of complex Hadamard (Zeilinger) matrices arising in many problems of mathematics and thoretical physics. The main result of the paper is splitting the set of all kronecker products of unitary Fourier matrices into pe...

Notes on hadamard products of matrices - Linear and Multilinear Algebra