ScienceAsia - Journal of The Science Society of Thailand

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

Zhuo Huang