Journal of Inequalities and Applications
Volume 2009 (2009), Article ID 736243, 10 pages
doi:10.1155/2009/736243
Research Article

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

Adem Kılıçman1 and Zeyad Al Zhour2

1Department of Mathematics, Institute for Mathematical Research, University Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia
2Department of Mathematics, Zarqa Private University, P.O. Box 2000, Zarqa 1311, Jordan

Received 16 April 2009; Revised 29 June 2009; Accepted 14 July 2009

Academic Editor: Martin J. Bohner

Copyright © 2009 Adem Kılıçman and Zeyad Al Zhour. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We are concerned with Kronecker and Hadamard convolution products and present some important connections between these two products. Further we establish some attractive inequalities for Hadamard convolution product. It is also proved that the results can be extended to the finite number of matrices, and some basic properties of matrix convolution products are also derived.