Green's relations for stochastic matrices

James R. Wall

Czechoslovak Mathematical Journal (1975)

  • Volume: 25, Issue: 2, page 247-260
  • ISSN: 0011-4642

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Wall, James R.. "Green's relations for stochastic matrices." Czechoslovak Mathematical Journal 25.2 (1975): 247-260. <http://eudml.org/doc/12860>.

@article{Wall1975,
author = {Wall, James R.},
journal = {Czechoslovak Mathematical Journal},
language = {eng},
number = {2},
pages = {247-260},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Green's relations for stochastic matrices},
url = {http://eudml.org/doc/12860},
volume = {25},
year = {1975},
}

TY - JOUR
AU - Wall, James R.
TI - Green's relations for stochastic matrices
JO - Czechoslovak Mathematical Journal
PY - 1975
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 25
IS - 2
SP - 247
EP - 260
LA - eng
UR - http://eudml.org/doc/12860
ER -

References

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  2. A. H. Clifford, G. B. Preston, The Algebraic Theory of Semigroups, Vol. 1, Math. Surveys No. 7, Amer. Math. Soc, Providence, 1961. (1961) Zbl0111.03403MR0132791
  3. J. L. Doob, 10.1090/S0002-9947-1942-0006633-7, Trans. Amer. Math. Soc, 52 (1942), 37-64. (1942) MR0006633DOI10.1090/S0002-9947-1942-0006633-7
  4. H. K. Farahat, 10.1017/S2040618500035401, Proc. Glasgow Math. Assoc. 7 (1966), 178-183. (1966) Zbl0156.26001MR0202730DOI10.1017/S2040618500035401
  5. T. N. E. Greville, Some applications of the pseudoinverse of a matrix, SIAM Rev., II (1960), 15-22. (1960) Zbl0168.13303MR0110185
  6. K. H. Hofmann, P. S. Mostert, Elements of Compact Semigroups, Charles E. Merrill, Columbus, 1966. (1966) Zbl0161.01901MR0209387
  7. J. S. Montague, R. J. Plemmons, 10.1090/S0002-9904-1972-13070-2, Bull. Amer. Math. Soc, 78 (1972), 965-968. (1972) Zbl0262.15011MR0306231DOI10.1090/S0002-9904-1972-13070-2
  8. R. Penrose, A generalized inverse for matrices, Proc. Cambridge Phil. Soc, 51 (1955), 406-413. (1955) Zbl0065.24603MR0069793
  9. R. J. Plemmons, R. E. Cline, 10.1090/S0002-9939-1972-0285541-5, Proc Amer. Math. Soc, 31 (1972), 46-50. (1972) Zbl0241.15001MR0285541DOI10.1090/S0002-9939-1972-0285541-5
  10. Š. Schwarz, On the structure of the semigroup of stochastic matrices, Magyar Tud. Akad. Kutato Int. Kozl., (A) 9 (1964), 297-311. (1964) Zbl0143.03303MR0188337
  11. Š. Schwarz, A note on the structure of the semigroup of doubly stochastic matrices, Mat. Časopis Sloven. Akad. Vied., 17 (1967), 308-316. (1967) Zbl0157.04902MR0241451
  12. J. R. Wall, Generalized inverses of stochastic matrices, Lin. Alg. Appl., to appear. Zbl0305.15002MR0364307

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