Inertia of partial transpose of positive semidefinite matrices

We show that the partial transpose of 9 × 9 positive semidefinite matrices do not have inertia ( 4 , 1 , 4 ) and ( 3 , 2 , 4 ) . It solves an open problem in ‘LINEAR AND MULTILINEAR ALGEBRA. Changchun Feng et al , 2022’. We apply our results to construct some inertia, as well as present the list of...

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Veröffentlicht in:	Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2024-03, Vol.57 (12), p.125203
Hauptverfasser:	Liang, Yixuan, Yan, Jiahao, Si, Dongran, Chen, Lin
Format:	Artikel
Sprache:	eng
Schlagworte:	inertia non-positive-partial-transpose NPT positive semidefinite matrix
Online-Zugang:	Volltext
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