Linear operators preserving strong majorization of (0,1)-matrices

Alexander Guterman, Pavel Shteyner

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


We obtain a complete characterization of linear operators that preserve strong majorization on (0,1)-matrices. To do this we introduce a new matrix invariant of combinatorial nature. We call this invariant an intersection index of a matrix and develop a method to characterize the matrix maps based on the analysis of its properties.

Original languageEnglish
Pages (from-to)116-150
Number of pages35
JournalLinear Algebra and Its Applications
StatePublished - 1 Feb 2023

Bibliographical note

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© 2022 Elsevier Inc.


  • Linear preservers
  • Matrix majorization
  • Vector majorization


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