On Tricomplex Representation Methods of A Matrix Trace Inequality
K. Gunasekaran, K. KANNAN, M. RAHAMATHUNISHA · Journal of Ultra Scientist of Physical Sciences Section A · 2017
In this paper, on tricomplex representation methods of a matrix trace inequality is introduced. A matrix trace inequality for positive semi definite Hermitian matrices A and B, 0<tr (A*B)n<(trA)n *(trB)n is established, where n is an integer. The above inequality improves the result given by Yang (J Math. Anal. Appl. 250 (2000), 372-374