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math.FA2014
Determinantal inequalities for block triangular matrices
Minghua Lin
Let be an -square matrix, where are -square and -square, respectively. Among other determinantal inequalities, it…
math.FA2014
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…
math.FA2014★ 5 cited
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…