On diamond partial order, one-sided star partial orders, and 1MP-inverses
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866929438870994944 |
|---|---|
| author | Hernández, María Valeria Lattanzi, Marina B. Thome, Néstor |
| author_facet | Hernández, María Valeria Lattanzi, Marina B. Thome, Néstor |
| contents | This paper provides some new characterizations of the diamond partial order for rectangular matrices by using properties of inner inverses, minus order, and SVD decompositions. In addition, the recently introduced 1MP generalized inverse and its dual are used to characterize the diamond partial order as a ${\cal G}$-based one. Finally, the one-sided star partial order is investigated by using 1MP- and MP1-inverses. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_18954 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On diamond partial order, one-sided star partial orders, and 1MP-inverses Hernández, María Valeria Lattanzi, Marina B. Thome, Néstor Rings and Algebras This paper provides some new characterizations of the diamond partial order for rectangular matrices by using properties of inner inverses, minus order, and SVD decompositions. In addition, the recently introduced 1MP generalized inverse and its dual are used to characterize the diamond partial order as a ${\cal G}$-based one. Finally, the one-sided star partial order is investigated by using 1MP- and MP1-inverses. |
| title | On diamond partial order, one-sided star partial orders, and 1MP-inverses |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2407.18954 |