Open Access

Some inequalities for sums of nonnegative definite matrices in quaternions

Journal of Inequalities and Applications20052005:385246

Received: 9 January 2004

Published: 31 October 2005


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

School of Economics, Shanghai University of Finance and Economics, Shanghai, China
Department of Mathematics and Statistics, McGill University, Montréal, Canada


© Hindawi Publishing Corporation 2005