On the applications of Kronecker convolutions products

Abstract

Recently there has been renewed interest on the non-partitioned matrix products which are very useful in many applications, see [1- 2]. These matrix products are known as the Kronecker product, Kronecker sum, Khatri-Rao and Hadamard product and they are very useful in many fields such that they are as significant as the usual product, see for example [3] In statistics, since data with an array structure are common represented as the design or regression matrix for analysis. Further it is often used and expressed that such data as a Kronecker convolution product which generalized linear array model, see[4]. In this paper we provide several applications on the Kronecker convolution products and study the difference between different products.