| dc.contributor.author |
Choudhury, Projesh Nath |
|
| dc.contributor.author |
Yadav, Shivangi |
|
| dc.coverage.spatial |
United States of America |
|
| dc.date.accessioned |
2024-08-14T13:17:23Z |
|
| dc.date.available |
2024-08-14T13:17:23Z |
|
| dc.date.issued |
2027-07 |
|
| dc.identifier.citation |
Choudhury, Projesh Nath and Yadav, Shivangi, "Sign regularity preserving linear operators", arXiv, Cornell University Library, DOI: arXiv:2408.02428, Jul. 2024. |
|
| dc.identifier.uri |
http://arxiv.org/abs/2408.02428 |
|
| dc.identifier.uri |
https://repository.iitgn.ac.in/handle/123456789/10339 |
|
| dc.description.abstract |
A matrix A∈Rm×n is strictly sign regular/SSR (or sign regular/SR) if for each 1≤k≤min{m,n}, all k×k minors of A (or non-zero k×k minors of A) have the same sign. This class of matrices contains the totally positive matrices, and was first studied by Schoenberg (1930) to characterize Variation Diminution (VD), a fundamental property in total positivity theory. In this note, we classify all surjective linear mappings L:Rm×n→Rm×n that preserve: (i) sign regularity and (ii) sign regularity with a given sign pattern, as well as (iii) strict versions of these. |
|
| dc.description.statementofresponsibility |
by Projesh Nath Choudhury and Shivangi Yadav |
|
| dc.language.iso |
en_US |
|
| dc.publisher |
Cornell University Library |
|
| dc.title |
Sign regularity preserving linear operators |
|
| dc.type |
Article |
|
| dc.relation.journal |
arXiv |
|