International Journal of Science and Research (IJSR)
www.ijsr.net | Open Access | Fully Refereed | Peer Reviewed International Journal

A Matrix Trace Inequality for Products of Quaternion Hermitian Matrices

K. Gunasekaran, M. Rahamathunisha

Abstract: In this paper, the following matrix trace inequality for *_ products of quaternion hermitian matrices A and B, tr (A*B) ^ (2^k ) tr (A^ (2^k ) *B^ (2^k ) ) is established, where k is positive integer.

Keywords: Triple representation of quaternion matrix, Hermitian matrix, *_ product, matrix trace inequality