Geodesic
A new approach to some problems in the theory of non-negative matrices
Czechoslovak Mathematical Journal, Tome 16 (1966) no. 2, pp. 274-284
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

DOI : 10.21136/CMJ.1966.100729
Classification : 15.60 
@article{10_21136_CMJ_1966_100729,
     author = {Schwarz, \v{S}tefan},
     title = {A new approach to some problems in the theory of non-negative matrices},
     journal = {Czechoslovak Mathematical Journal},
     pages = {274--284},
     year = {1966},
     volume = {16},
     number = {2},
     doi = {10.21136/CMJ.1966.100729},
     mrnumber = {0201452},
     zbl = {0232.20140},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1966.100729/}
}
TY  - JOUR
AU  - Schwarz, Štefan
TI  - A new approach to some problems in the theory of non-negative matrices
JO  - Czechoslovak Mathematical Journal
PY  - 1966
SP  - 274
EP  - 284
VL  - 16
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1966.100729/
DO  - 10.21136/CMJ.1966.100729
LA  - en
ID  - 10_21136_CMJ_1966_100729
ER  - 
%0 Journal Article
%A Schwarz, Štefan
%T A new approach to some problems in the theory of non-negative matrices
%J Czechoslovak Mathematical Journal
%D 1966
%P 274-284
%V 16
%N 2
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1966.100729/
%R 10.21136/CMJ.1966.100729
%G en
%F 10_21136_CMJ_1966_100729
Schwarz, Štefan. A new approach to some problems in the theory of non-negative matrices. Czechoslovak Mathematical Journal, Tome 16 (1966) no. 2, pp. 274-284. doi: 10.21136/CMJ.1966.100729

[1] A. L. Dulmage, N. S. Mendelsohn: The exponent of a primitive matrix. Canadian Math. Bulletin 5 (1962), 241-244. | DOI | MR | Zbl

[2] A. L. Dulmage, N. S. Mendelsohn: Gaps in the exponent set of primitive matrices. Illinois J. of Math. 8 (1964), 642-656. | DOI | MR | Zbl

[3] B. R. Heap, M. S. Lynn: The index of primitivity of a non-negative matrix. Numerische Mathematik 6 (1964), 120-141. | DOI | MR | Zbl

[4] J. С. Holladay, R. S. Varga: On powers of non-negative matrices. Proc. Amer. Math. Soc. 9 (1958), 631-634. | DOI | MR | Zbl

[5] Ю. И. Любич: Оценка для оптимальной детерминизации недетерминованных автономных автоматов. Сиб. мат. ж. 5 (1964), 337-355. | MR | Zbl

[6] J. Mank V. Pták: Norms, spectra and combinatorial properties of matrices. Czechoslovak Math. J. 10 (85) (1960), 181-196. | MR

[7] R. Perkins: A theorem on regular matrices. Pacific J. of Math. 11 (1961), 1529-1533. | DOI | MR | Zbl

[8] V. Pták: On a combinatorial theorem and its application to non-negative matrices. Czechoslovak Math. J. 8 (83) (1958), 487-495. | MR

[9] V. Pták J. Sedláček: On the index of imprimitivity of non-negative matrices. Czechoslovak Math. J. 8 (83) (1958), 496-501. | MR

[10] N. Pullman: On the number of positive entries in the powers of a non-negative matrix. Canadian Math. Bulletin 7 (1964), 525-537. | DOI | MR | Zbl

[11] Š. Schwarz: A semigroup treatment of some theorems on non-negative matrices. Czechoslovak Math. J. 15 (90) (1965), 212-229. | MR | Zbl

[12] Š. Schwarz: On powers of non-negative matrices. Mat.-fyz. časopis Slov. Akad. vied 15 (1965), 215-228. | MR | Zbl

[13] Ш. Шварц: Заметка к теории неотрицательных матриц. Сиб. мат. ж. 6 (1965), 207-211 | MR | Zbl

[14] R. S. Varga: Matrix iterative analysis. New Jersey, Prentice-Hall, 1962. | MR

[15] H. Wielandt: Unzerlegbare nicht negative Matrizen. Math. Z. 52 (1950), 642-648. | DOI | MR | Zbl

[16] Š. Schwarz: Some estimates in the theory of non-negative matrices. (To appear in Czechoslovak Math. J.) | MR | Zbl

Cité par Sources :