International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
Call for Papers | Fully Refereed | Open Access | Double Blind Peer Reviewed

ISSN: 2319-7064


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Research Paper | Mathematics | India | Volume 7 Issue 1, January 2018 | Popularity: 6.1 / 10


     

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


Edition: Volume 7 Issue 1, January 2018


Pages: 950 - 951



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