Nonsingularity and $P$-matrices
Applications of Mathematics, Tome 35 (1990) no. 3, pp. 215-219
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

New proofs of two previously published theorems relating nonsingularity of interval matrices to $P$-matrices are given.
New proofs of two previously published theorems relating nonsingularity of interval matrices to $P$-matrices are given.
DOI : 10.21136/AM.1990.104405
Classification : 15A03, 15A57, 65F99, 65G10, 65G30
Keywords: nonsingular matrices; $P$-matrices
@article{10_21136_AM_1990_104405,
     author = {Rohn, Ji\v{r}{\'\i}},
     title = {Nonsingularity and $P$-matrices},
     journal = {Applications of Mathematics},
     pages = {215--219},
     year = {1990},
     volume = {35},
     number = {3},
     doi = {10.21136/AM.1990.104405},
     mrnumber = {1052742},
     zbl = {0716.65046},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1990.104405/}
}
TY  - JOUR
AU  - Rohn, Jiří
TI  - Nonsingularity and $P$-matrices
JO  - Applications of Mathematics
PY  - 1990
SP  - 215
EP  - 219
VL  - 35
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.21136/AM.1990.104405/
DO  - 10.21136/AM.1990.104405
LA  - en
ID  - 10_21136_AM_1990_104405
ER  - 
%0 Journal Article
%A Rohn, Jiří
%T Nonsingularity and $P$-matrices
%J Applications of Mathematics
%D 1990
%P 215-219
%V 35
%N 3
%U http://geodesic.mathdoc.fr/articles/10.21136/AM.1990.104405/
%R 10.21136/AM.1990.104405
%G en
%F 10_21136_AM_1990_104405
Rohn, Jiří. Nonsingularity and $P$-matrices. Applications of Mathematics, Tome 35 (1990) no. 3, pp. 215-219. doi: 10.21136/AM.1990.104405

[1] M. Fiedler: Special Matrices and Their Use in Numerical Mathematics. (Czech). SNTL, Prague 1981.

[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

[3] D. Gale H. Nikaido: The Jacobian Matrix and Global Univalence of Mappings. Math. Annalen 159 (1965), 81-93. | DOI | MR

[4] S. Poljak J. Rohn: Radius of Nonsingularity. KAM Series 88-117, Charles University, Prague 1988.

[5] J. Rohn: Systems of Linear Interval Equations. Lin. Alg. and Its Appls. 126 (1989), 39-78. | DOI | MR | Zbl

[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. | MR | Zbl

[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

Cité par Sources :