Real Matrices as Linear Combinations of Three Orthogonal Matrices
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2026
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866917553167663104 |
|---|---|
| author | Pang, Zhekai |
| author_facet | Pang, Zhekai |
| contents | Li and Poon proved that every real square matrix is a real linear combination of four real orthogonal matrices. The resulting question, recorded by Zhan, asks whether four terms are necessary. We prove that three real orthogonal matrices always suffice. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2606_01519 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Real Matrices as Linear Combinations of Three Orthogonal Matrices Pang, Zhekai Rings and Algebras Li and Poon proved that every real square matrix is a real linear combination of four real orthogonal matrices. The resulting question, recorded by Zhan, asks whether four terms are necessary. We prove that three real orthogonal matrices always suffice. |
| title | Real Matrices as Linear Combinations of Three Orthogonal Matrices |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2606.01519 |