|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'504'585
Articles rated: 2609
24 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
Generalizations of the Pfaffian to non-antisymmetric matrices | | Daniel Varjas
; | | Date: |
6 Sep 2022 | | Abstract: | We study two generalizations of the Pfaffian to non-antisymmetric matrices
and derive their properties and relation to each other. The first approach is
based on the Wigner normal-form, applicable to conjugate-normal matrices, and
retains most properties of the Pfaffian, including that it is the square-root
of the determinant. The second approach is to take the Pfaffian of the
antisymmetrized matrix, applicable to all matrices. We show that this
formulation is equivalent to substituting a non-antisymmetric matrix into the
polynomial definition of the Pfaffian. We find that the two definitions differ
in a positive real factor, making the second definition violate the determinant
identity. | | Source: | arXiv, 2209.02578 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER