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Research articles

ScienceAsia 49 (2023):ID 827-829 |doi: 10.2306/scienceasia1513-1874.2023.050


Singular value inequalities on 2 x 2 block accretive partial transpose matrices


Zhuo Huang

 
ABSTRACT:     A 2 ? 2 block matrix A X Y ? B is accretive partial transpose (APT) if both A X Y ? B and A Y ? X B are accretive. This article presents some singular value inequalities related to this class of matrices. Our results complement the presented inequality in [Oper Matrices 9 (2015):917?924].

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a Hainan College of Vocation and Technique, Haikou, Hainan 570216 China

* Corresponding author, E-mail: huangzhuo8915@163.com

Received 17 Mar 2022, Accepted 29 Apr 2023