79 citations · 100 across the 15 of their papers we have counts for
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Decomposition and partial trace of positive matrices with Hermitian blocks
Jean-Christophe Bourin, Eun-Young Lee
Let H be a positive semidefinite matrix partitioned into Hermitian blocks. Then, up to a direct sum operation, H is the average of matrices isometrically congruent to its partial t…
Positive matrices partitioned into a small number of Hermitian blocks
Jean-Christophe Bourin, Eun-Young Lee, Minghua Lin
Positive semidefinite matrices partitioned into a small number of Hermitian blocks have a remarkable property. Such a matrix may be written in a simple way from the sum of its diag…
Positive definite matrices with Hermitian blocks and their partial traces
Jean-Christophe Bourin, Eun-Young Lee, Minghua Lin
Let be a positive semi-definite matrix partitioned in Hermitian blocks, , . Then, for all symmetric norms, {equation*} \| H \| \le \| \…
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.