Alexander Guterman

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LU approximation 1 majorization 1 matrix inequalities 1 partial order 1 quantum information 1 tensor products 1

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math.RA2026

Additive preservers of permanent rank

Alexander Guterman, Bojan Kuzma, Leonid Ovchinnikov

The permanent rank of a matrix $A$ is the size of the maximal square submatrix in $A$ which has a nonzero permanent. In this paper we characterize additive transformations $I^¦$ whi…