Some inequalities for sums of nonnegative definite matrices in quaternions
© Hindawi Publishing Corporation 2005
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.