| Title:
|
Green's relations for stochastic matrices (English) |
| Author:
|
Wall, James R. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
25 |
| Issue:
|
2 |
| Year:
|
1975 |
| Pages:
|
247-260 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| MSC:
|
15A51 |
| idZBL:
|
Zbl 0316.15008 |
| idMR:
|
MR0401808 |
| DOI:
|
10.21136/CMJ.1975.101315 |
| . |
| Date available:
|
2008-06-09T14:12:16Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101315 |
| . |
| Reference:
|
[1] A. Ben-Israel, A. Charnes: Contributions to the theory of generalized inverses.J. Soc. Indust. Appl. Math., XI (1963), 667-699. Zbl 0116.32202, MR 0179192, 10.1137/0111051 |
| Reference:
|
[2] A. H. Clifford, G. B. Preston: The Algebraic Theory of Semigroups.Vol. 1, Math. Surveys No. 7, Amer. Math. Soc, Providence, 1961. Zbl 0111.03403, MR 0132791 |
| Reference:
|
[3] J. L. Doob: Topics in the theory of Markov chains.Trans. Amer. Math. Soc, 52 (1942), 37-64. MR 0006633, 10.1090/S0002-9947-1942-0006633-7 |
| Reference:
|
[4] H. K. Farahat: The semigroup of doubly-stochastic matrices.Proc. Glasgow Math. Assoc. 7 (1966), 178-183. Zbl 0156.26001, MR 0202730, 10.1017/S2040618500035401 |
| Reference:
|
[5] T. N. E. Greville: Some applications of the pseudoinverse of a matrix.SIAM Rev., II (1960), 15-22. Zbl 0168.13303, MR 0110185 |
| Reference:
|
[6] K. H. Hofmann, P. S. Mostert: Elements of Compact Semigroups.Charles E. Merrill, Columbus, 1966. Zbl 0161.01901, MR 0209387 |
| Reference:
|
[7] J. S. Montague, R. J. Plemmons: Convex matrix equations.Bull. Amer. Math. Soc, 78 (1972), 965-968. Zbl 0262.15011, MR 0306231, 10.1090/S0002-9904-1972-13070-2 |
| Reference:
|
[8] R. Penrose: A generalized inverse for matrices.Proc. Cambridge Phil. Soc, 51 (1955), 406-413. Zbl 0065.24603, MR 0069793 |
| Reference:
|
[9] R. J. Plemmons, R. E. Cline: The generalized inverse of a nonnegative matrix.Proc Amer. Math. Soc, 31 (1972), 46-50. Zbl 0241.15001, MR 0285541, 10.1090/S0002-9939-1972-0285541-5 |
| Reference:
|
[10] Š. Schwarz: On the structure of the semigroup of stochastic matrices.Magyar Tud. Akad. Kutato Int. Kozl., (A) 9 (1964), 297-311. Zbl 0143.03303, MR 0188337 |
| Reference:
|
[11] Š. Schwarz: A note on the structure of the semigroup of doubly stochastic matrices.Mat. Časopis Sloven. Akad. Vied., 17 (1967), 308-316. Zbl 0157.04902, MR 0241451 |
| Reference:
|
[12] J. R. Wall: Generalized inverses of stochastic matrices.Lin. Alg. Appl., to appear. Zbl 0305.15002, MR 0364307 |
| . |
