JP Journal of Algebra, Number Theory and Applications
Volume 41, Issue 2, Pages 265 - 274
(February 2019) http://dx.doi.org/10.17654/NT041020265 |
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AN ANDERSON-TAYLOR TYPE INEQUALITY VIA THE SCHUR COMPLEMENT
Zhongyang Li and Haiping Hu
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Abstract: The goal of this paper is twofold. Firstly, by making use of the Schur complement, we extend Lin’s generalization of Anderson-Taylor’s trace inequality. Secondly, a reverse inequality of Lin’s result is presented. |
Keywords and phrases: Loewner order, positive definite matrix, Schur complement, arithmetic-harmonic mean.
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