| Title:
|
Nonsingularity and $P$-matrices. (English) |
| Author:
|
Rohn, Jiří |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
35 |
| Issue:
|
3 |
| Year:
|
1990 |
| Pages:
|
215-219 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
New proofs of two previously published theorems relating nonsingularity of interval matrices to $P$-matrices are given. (English) |
| Keyword:
|
nonsingular matrices |
| Keyword:
|
$P$-matrices |
| MSC:
|
15A03 |
| MSC:
|
15A57 |
| MSC:
|
65F99 |
| MSC:
|
65G10 |
| MSC:
|
65G30 |
| idZBL:
|
Zbl 0716.65046 |
| idMR:
|
MR1052742 |
| DOI:
|
10.21136/AM.1990.104405 |
| . |
| Date available:
|
2008-05-20T18:39:16Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104405 |
| . |
| Reference:
|
[1] M. Fiedler: Special Matrices and Their Use in Numerical Mathematics.(Czech). SNTL, Prague 1981. |
| Reference:
|
[2] M. Fiedler V. Pták: On Matrices with Non-Positive Off-Diagonal Elements and Positive Principal Minors.Czechoslovak Math. J. 12 (1962), 382-400. MR 0142565 |
| Reference:
|
[3] D. Gale H. Nikaido: The Jacobian Matrix and Global Univalence of Mappings.Math. Annalen 159 (1965), 81-93. MR 0204592, 10.1007/BF01360282 |
| Reference:
|
[4] S. Poljak J. Rohn: Radius of Nonsingularity.KAM Series 88-117, Charles University, Prague 1988. |
| Reference:
|
[5] J. Rohn: Systems of Linear Interval Equations.Lin. Alg. and Its Appls. 126 (1989), 39-78. Zbl 0712.65029, MR 1040771, 10.1016/0024-3795(89)90004-9 |
| Reference:
|
[6] J. Rohn: Characterization of a Linear Program in Standard Form by a Family of Linear Programs with Inequality Constraints.To appear in Ekon.-Mat. Obzor. Zbl 0705.90053, MR 1059547 |
| Reference:
|
[7] H. Samelson R. Thrall O. Wesler: A Partition Theorem for Euclidean n-Space.Proc. of the Amer. Math. Society 9 (1958), 805-807. MR 0097025 |
| . |
