| Title:
|
A new look at totally positive matrices (English) |
| Author:
|
Fiedler, Miroslav |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
66 |
| Issue:
|
3 |
| Year:
|
2016 |
| Pages:
|
597-602 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
A close relationship between the class of totally positive matrices and anti-Monge matrices is used for suggesting a new direction for investigating totally positive matrices. Some questions are posed and a partial answer in the case of Vandermonde-like matrices is given. (English) |
| Keyword:
|
totally positive matrix |
| Keyword:
|
Monge matrix |
| Keyword:
|
semigroup |
| Keyword:
|
Vandermonde-like matrix |
| MSC:
|
15B48 |
| MSC:
|
15B57 |
| idZBL:
|
Zbl 06644021 |
| idMR:
|
MR3556855 |
| DOI:
|
10.1007/s10587-016-0280-z |
| . |
| Date available:
|
2016-10-01T15:08:58Z |
| Last updated:
|
2023-10-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/145859 |
| . |
| Reference:
|
[1] Fallat, S. M., Johnson, C. R.: Totally Nonnegative Matrices.Princeton Series in Applied Mathematics Princeton University Press, Princeton (2011). MR 2791531 |
| Reference:
|
[2] Fiedler, M.: Subtotally positive and Monge matrices.Linear Algebra Appl. 413 (2006), 177-188. Zbl 1090.15016, MR 2202101, 10.1016/j.laa.2005.08.020 |
| Reference:
|
[3] Fiedler, M.: Remarks on Monge matrices.Math. Bohem. 127 (2002), 27-32. Zbl 1003.15022, MR 1895243, 10.21136/MB.2002.133983 |
| Reference:
|
[4] Fiedler, M.: Equilibrated anti-Monge matrices.Linear Algebra Appl. 335 (2001), 151-156. Zbl 0983.15023, MR 1850820 |
| . |
