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Research Article | Open Access

Determinantal inequalities for block Hadamard product and Khatri-Rao product of positive definite matrices

Sheng Dong1,2, Qingwen Wang2( ), Lei Hou2
School of Mathematics, Zhengzhou University of Aeronautics, Zhengzhou 450046, China
Department of Mathematics, Shanghai University, Shanghai 200444, China
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Abstract

In this paper, we first give an alternative proof for a result of Liu et al. in [Math. Inequal. Appl. 20 (2017) 537–542]. Then we present two inequalities for the block Hadamard product and the Khatri-Rao product respectively. The inequalities obtained extend the result of Liu et al.

Keywords

determinantal inequalityblock Hadamard productKhatri-Rao productpositive definite matrix
CLC number: 15A45, 47A63

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AIMS Mathematics
Volume 7 Issue 6,
June 2022
Pages 9648-9655
DOI: 10.3934/math.2022536

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Cite this article:
Dong S, Wang Q, Hou L. Determinantal inequalities for block Hadamard product and Khatri-Rao product of positive definite matrices. AIMS Mathematics, 2022, 7(6): 9648-9655. https://doi.org/10.3934/math.2022536

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Received: 26 December 2021
Revised: 23 February 2022
Accepted: 28 February 2022
Published: 15 June 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)