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On linearized versions of matrix inequalities

open access: yesLinear Algebra and its Applications, 2023
The authors prove linearized versions of the Aleksandrov-Fenchel and Brunn-Minkowski inequalities for positive semidefinite matrices. In order to present the results some definitions are needed. Given \(n\ge 1\) and arbitrary \(n\times n\) matrices \(A_1,\cdots,A_n\), denote by \(A_j^{(i)}\) the \(i\)-th column of the matrix \(A_j\).
de Vries, Christopher   +2 more
openaire   +2 more sources

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