Abstract
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 language | English |
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Pages (from-to) | 116-150 |
Number of pages | 35 |
Journal | Linear Algebra and Its Applications |
Volume | 658 |
DOIs | |
State | Published - 1 Feb 2023 |
Bibliographical note
Publisher Copyright:© 2022 Elsevier Inc.
Keywords
- Linear preservers
- Matrix majorization
- Vector majorization