LU approximation 1majorization 1matrix inequalities 1partial order 1quantum information 1tensor products 1
From the 1 of 2 linked papers with an AI index.
2 papers
math.FA2026
Poset-refined majorization relations
Alexander E. Guterman, Michael M. Wolf
The paper refines classical matrix majorization relations by allowing a partial order alignment of eigenvalues or singular values, using LU‑approximation, and applies these refined…
math.RA2026
Additive preservers of permanent rank
Alexander Guterman, Bojan Kuzma, Leonid Ovchinnikov
The permanent rank of a matrix is the size of the maximal square submatrix in which has a nonzero permanent. In this paper we characterize additive transformations whi…