Green's relations for stochastic matrices
Czechoslovak Mathematical Journal, Tome 25 (1975) no. 2, pp. 247-260
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

DOI : 10.21136/CMJ.1975.101315
Classification : 15A51
@article{10_21136_CMJ_1975_101315,
     author = {Wall, James R.},
     title = {Green's relations for stochastic matrices},
     journal = {Czechoslovak Mathematical Journal},
     pages = {247--260},
     year = {1975},
     volume = {25},
     number = {2},
     doi = {10.21136/CMJ.1975.101315},
     mrnumber = {0401808},
     zbl = {0316.15008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1975.101315/}
}
TY  - JOUR
AU  - Wall, James R.
TI  - Green's relations for stochastic matrices
JO  - Czechoslovak Mathematical Journal
PY  - 1975
SP  - 247
EP  - 260
VL  - 25
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1975.101315/
DO  - 10.21136/CMJ.1975.101315
LA  - en
ID  - 10_21136_CMJ_1975_101315
ER  - 
%0 Journal Article
%A Wall, James R.
%T Green's relations for stochastic matrices
%J Czechoslovak Mathematical Journal
%D 1975
%P 247-260
%V 25
%N 2
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1975.101315/
%R 10.21136/CMJ.1975.101315
%G en
%F 10_21136_CMJ_1975_101315
Wall, James R. Green's relations for stochastic matrices. Czechoslovak Mathematical Journal, Tome 25 (1975) no. 2, pp. 247-260. doi: 10.21136/CMJ.1975.101315

[1] A. Ben-Israel, A. Charnes: Contributions to the theory of generalized inverses. J. Soc. Indust. Appl. Math., XI (1963), 667-699. | DOI | MR | Zbl

[2] A. H. Clifford, G. B. Preston: The Algebraic Theory of Semigroups. Vol. 1, Math. Surveys No. 7, Amer. Math. Soc, Providence, 1961. | MR | Zbl

[3] J. L. Doob: Topics in the theory of Markov chains. Trans. Amer. Math. Soc, 52 (1942), 37-64. | DOI | MR

[4] H. K. Farahat: The semigroup of doubly-stochastic matrices. Proc. Glasgow Math. Assoc. 7 (1966), 178-183. | DOI | MR | Zbl

[5] T. N. E. Greville: Some applications of the pseudoinverse of a matrix. SIAM Rev., II (1960), 15-22. | MR | Zbl

[6] K. H. Hofmann, P. S. Mostert: Elements of Compact Semigroups. Charles E. Merrill, Columbus, 1966. | MR | Zbl

[7] J. S. Montague, R. J. Plemmons: Convex matrix equations. Bull. Amer. Math. Soc, 78 (1972), 965-968. | DOI | MR | Zbl

[8] R. Penrose: A generalized inverse for matrices. Proc. Cambridge Phil. Soc, 51 (1955), 406-413. | MR | Zbl

[9] R. J. Plemmons, R. E. Cline: The generalized inverse of a nonnegative matrix. Proc Amer. Math. Soc, 31 (1972), 46-50. | DOI | MR | Zbl

[10] Š. Schwarz: On the structure of the semigroup of stochastic matrices. Magyar Tud. Akad. Kutato Int. Kozl., (A) 9 (1964), 297-311. | MR | Zbl

[11] Š. Schwarz: A note on the structure of the semigroup of doubly stochastic matrices. Mat. Časopis Sloven. Akad. Vied., 17 (1967), 308-316. | MR | Zbl

[12] J. R. Wall: Generalized inverses of stochastic matrices. Lin. Alg. Appl., to appear. | MR | Zbl

Cité par Sources :