Abstract
We investigate partial orders on the set of complex square matrices and introduce a new order relation based on spectrally orthogonal matrix decompositions. We also establish the relation of this concept with the known orders.
| Original language | English |
|---|---|
| Pages (from-to) | 362-374 |
| Number of pages | 13 |
| Journal | Linear and Multilinear Algebra |
| Volume | 64 |
| Issue number | 3 |
| DOIs | |
| State | Published - 3 Mar 2016 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2015 Taylor & Francis.
Funding
The research of the first author was supported by the Grants [grant numberRFBR-15-01-01132], [grant number MD-962.2014.1]. The second and third authors have been partially supported by Ministerio de Economa y Competitividad from Spain, DGI [grant number MTM2013-43678-P].
| Funders | Funder number |
|---|---|
| Ministerio de Economía y Competitividad | MTM2013-43678-P |
Keywords
- minus order
- sharp order
- spectrally orthogonal matrix decomposition
- spectrum