Bibliographic Details
| Title: |
Class of finite-dimensional matrices with diagonals that majorize their spectrum |
| Authors: |
Uhlmann Jeffrey |
| Source: |
Special Matrices, Vol 11, Iss 1, Pp 042001-117 (2023) |
| Publisher Information: |
De Gruyter, 2023. |
| Publication Year: |
2023 |
| Collection: |
LCC:Mathematics |
| Subject Terms: |
inverse relative gain array, pd diagonalizable, pd-irga, majorization, positive-definite similarity, special matrices, 15-06, 15a57, Mathematics, QA1-939 |
| More Details: |
We define a special class of finite-dimensional matrices for which the diagonal majorizes the spectrum. This is the first class of matrices known to have this property, although the reverse majorization (i.e., the spectrum majorizing the diagonal) was previously known to hold for unitarily diagonalizable (i.e., normal) matrices. Currently, these are the only known matrix classes that structurally provide a majorization relationship between their spectrum and diagonal. |
| Document Type: |
article |
| File Description: |
electronic resource |
| Language: |
English |
| ISSN: |
2300-7451 |
| Relation: |
https://doaj.org/toc/2300-7451 |
| DOI: |
10.1515/spma-2022-0185 |
| Access URL: |
https://doaj.org/article/085bbc144a9f43859826eddf4752b076 |
| Accession Number: |
edsdoj.085bbc144a9f43859826eddf4752b076 |
| Database: |
Directory of Open Access Journals |
