9 citations · 15 across the 5 of their papers we have counts for
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New properties for certain positive semidefinite matrices
Minghua Lin
We bring in some new notions associated with block positive semidefinite matrices. These notions concern the inequalities between the singular values of the off diagona…
Determinantal inequalities for block triangular matrices
Minghua Lin
Let be an -square matrix, where are -square and -square, respectively. Among other determinantal inequalities, it…
Extension of a result of Haynsworth and Hartfiel
Minghua Lin
About last 70s, Haynsworth [6] used a result of the Schur complement to refine a determinant inequality for positive definite matrices. Haynsworth's result was improved by Hartfiel…
Completely strong superadditivity of generalized matrix functions
Minghua Lin, Suvrit Sra
We prove that generalized matrix functions satisfy a block-matrix strong superadditivity inequality over the cone of positive semidefinite matrices. Our result extends a recent res…
On a decomposition lemma for positive semi-definite block-matrices
Jean-Christophe Bourin, Eun-Young Lee, Minghua Lin
This short note, in part of expository nature, points out several new or recent consequences of a quite nice decomposition for positive semi-definite matrices.