Determinantal inequalities of Hua-Marcus-Zhang type for quaternion matrices-Reference-Cited by-同舟云学术

Determinantal inequalities of Hua-Marcus-Zhang type for quaternion matrices

Published:2021-01-01 Issue:1 Volume:19 Page:562-568
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Hong Yan¹^ORCID,Qi Feng²³^ORCID

Affiliation:

1. College of Mathematics and Physics, Inner Mongolia University for Nationalities , Tongliao 028043, Inner Mongolia , China

2. Institute of Mathematics, Henan Polytechnic University , Jiaozuo 454010, Henan , China

3. School of Mathematical Sciences, Tiangong University , Tianjin 300160 , China

Abstract

Abstract In this paper, the authors extend determinantal inequalities of the Hua-Marcus-Zhang type for positive definite matrices to the corresponding ones for quaternion matrices.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2021-0061/pdf

Reference39 articles.

1. L.-K. Hua , Inequalities involving determinants, Acta Math. Sinica 5 (1955), 463–470. (Chinese)

2. L.-K. Hua , Inequalities involving determinants, Transl. Amer. Math. Soc. Ser. II 32 (1963), 265–272, http://www.ams.org/books/trans2/032/11.

3. M. Marcus , On a determinantal inequality, Amer. Math. Monthly 65 (1958), no. 4, 266–268, https://doi.org/10.2307/2310245 .

4. F. Zhang , Matrix Theory: Basic Results and Techniques, 2nd ed., Universitext, Springer, New York, 2011, https://doi.org/10.1007/978-1-4614-1099-7 .

5. T. Ando , Positivity of operator-matrices of Hua-type, Banach J. Math. Anal. 2 (2008), no. 2, 1–8, https://doi.org/10.15352/bjma/1240336286 .

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