| Title:
|
Remarks on Monge matrices (English) |
| Author:
|
Fiedler, Miroslav |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
127 |
| Issue:
|
1 |
| Year:
|
2002 |
| Pages:
|
27-32 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We present some new results on Monge matrices and their relationship with ultrametric matrices. (English) |
| Keyword:
|
Monge matrix |
| Keyword:
|
ultrametric matrix |
| MSC:
|
15A48 |
| MSC:
|
15A57 |
| idZBL:
|
Zbl 1003.15022 |
| idMR:
|
MR1895243 |
| DOI:
|
10.21136/MB.2002.133983 |
| . |
| Date available:
|
2009-09-24T21:57:25Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/133983 |
| . |
| Reference:
|
[1] K. Cechlárová, P. Szabó: On the Monge property of matrices.Discrete Mathematics 81 (1990), 123–128. MR 1054969, 10.1016/0012-365X(90)90143-6 |
| Reference:
|
[2] M. Fiedler: Special ultrametric matrices and graphs.(to appear). Zbl 0967.15013, MR 1779719 |
| Reference:
|
[3] A. J. Hoffman: On simple linear programming problems.Convexity, Proc. Symposia in Pure Mathematics, AMS, Providence, RI, 1961, pp. 317–327. MR 0157778 |
| Reference:
|
[4] M. Marcus, H. Minc: A Survey of Matrix Theory and Matrix Inequalities.Allyn and Bacon, Boston, 1964. MR 0162808 |
| Reference:
|
[5] S. Martínez, G. Michon, J. San Martín: Inverses of ultrametric matrices are of Stieltjes type.SIAM J. Matrix Analysis Appl. 15 (1994), 98–106. MR 1257619, 10.1137/S0895479891217011 |
| Reference:
|
[6] R. Nabben, R. S. Varga: A linear algebra proof that the inverse of a strictly ultrametric matrix is a strictly diagonally dominant Stieltjes matrix.SIAM J. Matrix Analysis Appl. 15 (1994), 107–113. MR 1257620, 10.1137/S0895479892228237 |
| . |
