On matrices with non-positive off-diagonal elements and positive principal minors
Czechoslovak Mathematical Journal, Tome 12 (1962) no. 3, pp. 382-400
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

DOI : 10.21136/CMJ.1962.100526
Classification : 15.60
@article{10_21136_CMJ_1962_100526,
     author = {Fiedler, Miroslav and Pt\'ak, Vlastimil},
     title = {On matrices with non-positive off-diagonal elements and positive principal minors},
     journal = {Czechoslovak Mathematical Journal},
     pages = {382--400},
     year = {1962},
     volume = {12},
     number = {3},
     doi = {10.21136/CMJ.1962.100526},
     mrnumber = {0142565},
     zbl = {0131.24806},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1962.100526/}
}
TY  - JOUR
AU  - Fiedler, Miroslav
AU  - Pták, Vlastimil
TI  - On matrices with non-positive off-diagonal elements and positive principal minors
JO  - Czechoslovak Mathematical Journal
PY  - 1962
SP  - 382
EP  - 400
VL  - 12
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1962.100526/
DO  - 10.21136/CMJ.1962.100526
LA  - en
ID  - 10_21136_CMJ_1962_100526
ER  - 
%0 Journal Article
%A Fiedler, Miroslav
%A Pták, Vlastimil
%T On matrices with non-positive off-diagonal elements and positive principal minors
%J Czechoslovak Mathematical Journal
%D 1962
%P 382-400
%V 12
%N 3
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1962.100526/
%R 10.21136/CMJ.1962.100526
%G en
%F 10_21136_CMJ_1962_100526
Fiedler, Miroslav; Pták, Vlastimil. On matrices with non-positive off-diagonal elements and positive principal minors. Czechoslovak Mathematical Journal, Tome 12 (1962) no. 3, pp. 382-400. doi: 10.21136/CMJ.1962.100526

[1] K. Fan: Topological proofs for certain theorems on matrices with non-negative elements. Monatsh. Math. 62 (1958), 219-237. | DOI | MR | Zbl

[2] K. Fan: Note on M-matrices. Quart. J. Math. 11 (1960), 43-49. | DOI | MR | Zbl

[3] K. Fan A. J. Hoffman: Lower bounds for the rank and location of the eigenvalues of a matrix. Contributions to the solution of systems of linear equations and the determination of eigenvalues. NBS Appl. Math. Ser. 39, 117-130. | MR

[4] K. Fan A. S. Householder: A note concerning positive matrices and M-matrices. Monatshefte Math. 63 (1959), 265-270. | DOI | MR

[5] Д. M. Коmелянскш: Оценки для определителей матриц с преобладающей главной диагональю. ИАН, сер. матем., 20 (1956), 137-144. | MR | Zbl

[6] А. Ostrowski: Determinanten mit überwiegender Hauptdiagonale und die absolute Konvergenz von linearen Iterationsprozessen. Commentarii Math. Helv. 3° (1956), 175 - 210. | DOI | MR | Zbl

[7] R. S. Varga: On a lemma of Stieltjes on matrices. Westinghouse Technical Report WAPD-T-566.

Cité par Sources :