Open Access

Some inequalities for sums of nonnegative definite matrices in quaternions

Journal of Inequalities and Applications20052005:385246

DOI: 10.1155/JIA.2005.449

Received: 9 January 2004

Published: 31 October 2005

Abstract

Some matrix versions of the Cauchy-Schwarz and Frucht-Kantorovich inequalities are established over the quaternionic algebra. As applications, a group of inequalities for sums of Hermitian nonnegative definite matrices over the quaternionic algebra are derived.

Authors’ Affiliations

(1)
School of Economics, Shanghai University of Finance and Economics
(2)
Department of Mathematics and Statistics, McGill University

Copyright

© Hindawi Publishing Corporation 2005