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

How to Cite?: K. Gunasekaran, M. Rahamathunisha, "A Matrix Trace Inequality for Products of Quaternion Hermitian Matrices", Volume 7 Issue 1, January 2018, International Journal of Science and Research (IJSR), Pages: 950-951, https://www.ijsr.net/getabstract.php?paperid=13011801, DOI: https://dx.doi.org/10.21275/13011801