On Tricomplex Representation Methods of A Matrix Trace Inequality

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On Tricomplex Representation Methods of A Matrix Trace Inequality

Author:

K. GUNASEKARAN1, K. KANNAN2 and M. RAHAMATHUNISHA3

Affiliation:

^1,3Ramanujan Research Centre, P.G. and Research Department of Mathematics, Government Arts College (Autonomous), Kumabakonam - 612002 Tamil Nadu India
²Department of Mathematics and Statistics University of Jaffna, Jaffna, Sri Lanka

Corresponding Author Email:- srnisha.phdpmu@gmail.com

Keyword:

Product of quaternion matrix, positive semi definite, positive definite, Hermitian matrix

Issue Date:

January, 2017

Abstract:

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

Pages:

30-32

ISSN:

2319-8044 (Online) - 2231-346X (Print)

Source:

Vol.29 - No.1

PDF:

Click here to download full paper

DOI:

http://dx.doi.org/10.22147/jusps-A/290105

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Copy the following to cite this article:

K. GUNASEKARAN1, K. KANNAN2 and M. RAHAMATHUNISHA3, "On Tricomplex Representation Methods of A Matrix Trace Inequality", Journal of Ultra Scientist of Physical Sciences, Volume 29, Issue 1, Page Number 30-32, 2017

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Available from: https://www.ultrascientist.org/paper/755/

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License