Inequalities related to 2 ✕ 2 block PPT matrices
Inequalities related to 2 ✕ 2 block PPT matrices
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DOI：
10.7153/oam-09-54
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发表时间：
2015
影响因子：
0.5
通讯作者：
Minghua Lin
中科院分区：
文献类型：
--
作者：
Minghua Lin
一个2×2分块矩阵[ A X X <$B ]是部分正转置矩阵，如果[ A X X <$B ]和[ A X <$X B ]都是半正定矩阵.本文给出了与这类矩阵有关的几个不等式。其中，我们表明，华矩阵，这是PPT，揭示了一个显着的奇异值不等式的压缩矩阵。
A 2×2 block matrix [ A X X∗ B ] is positive partial transpose (PPT) if both [ A X X∗ B ] and [ A X∗ X B ] are positive semidefinite. This article presents some inequalities related to this class of matrices. Among others, we show that the Hua matrix, which is PPT, reveals a remarkable singular value inequality for contractive matrices.