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

Sheng Dong; Qingwen Wang; Lei Hou; Sheng Dong; Qingwen Wang; Lei Hou

doi:10.3934/math.2022536

AIMS Mathematics

2022, Volume 7, Issue 6: 9648-9655. doi: 10.3934/math.2022536

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Research article

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

1.
School of Mathematics, Zhengzhou University of Aeronautics, Zhengzhou 450046, China
2.
Department of Mathematics, Shanghai University, Shanghai 200444, China

Received: 26 December 2021 Revised: 23 February 2022 Accepted: 28 February 2022 Published: 15 March 2022
MSC : 15A45, 47A63

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.
- determinantal inequality,
- block Hadamard product,
- Khatri-Rao product,
- positive definite matrix
Citation: Sheng Dong, Qingwen Wang, Lei Hou. Determinantal inequalities for block Hadamard product and Khatri-Rao product of positive definite matrices[J]. AIMS Mathematics, 2022, 7(6): 9648-9655. doi: 10.3934/math.2022536

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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.

References

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