On matrices having an invariant cone

George Phillip Barker

Czechoslovak Mathematical Journal (1972)

  • Volume: 22, Issue: 1, page 49-68
  • ISSN: 0011-4642

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Barker, George Phillip. "On matrices having an invariant cone." Czechoslovak Mathematical Journal 22.1 (1972): 49-68. <http://eudml.org/doc/12637>.

@article{Barker1972,
author = {Barker, George Phillip},
journal = {Czechoslovak Mathematical Journal},
language = {eng},
number = {1},
pages = {49-68},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On matrices having an invariant cone},
url = {http://eudml.org/doc/12637},
volume = {22},
year = {1972},
}

TY - JOUR
AU - Barker, George Phillip
TI - On matrices having an invariant cone
JO - Czechoslovak Mathematical Journal
PY - 1972
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 22
IS - 1
SP - 49
EP - 68
LA - eng
UR - http://eudml.org/doc/12637
ER -

References

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  2. Drazin M. P. J. W. Dungey, K. W. Gruenherg, Some theorems on commutative matrices, J. London Math. Soc. 26, 221-228 (1951). (1951) MR0041095
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  7. Krein M. G., and M. A. Rutman, Linear operators leaving invariant a cone in a Banach space, . American Math. Soc. Translations Ser. I, 10, 199-325 (1962) (originally Uspehi Mat. Nauk (N.S.) 3, 3--95 (1948)). (1962) MR0027128
  8. Krasnoselskii M A., Positive Solutions of Operator Equations, Groningen: P. Noordhoff, Ltd. 1964. (1964) MR0181881
  9. Mangasarian O. L., A convergent splitting of matrices, MRC Tech. Rep. #958 (1969). (1969) MR0266409
  10. Marek I., Spektrale Eigenschaften der K-positiven Operatoren und Einschliessungssätze für den Spektralradius, Czech. Math. J. 16, 493-517 (1966). (1966) Zbl0152.33701MR0217622
  11. Marek I., 10.1137/0115044, SIAM J. Appl. Math. 15, 484-494 (1967). (1967) MR0233176DOI10.1137/0115044
  12. Pták V,, On a combinatorial theorem and its application to nonnegative matrices, Czech. Math. J. 8, 487-495 (1958). (In Russian.) (1958) MR0110644
  13. Sawashima L, On spectral properties of some positive operators, Nat. Sci. Rep. of the Ochanormizu University. 75, 53-64 (1964). (1964) Zbl0138.07801MR0187096
  14. Schneider H., 10.1007/BF01397969, Numerische Math. 7, 11-17 (1965). (1965) Zbl0158.28003MR0173678DOI10.1007/BF01397969
  15. Stetsenko V. Ja., Критерии нерозложимости линейных операторов, UMN. 21 (131), 265-267 (1966). (1966) Zbl0178.50202
  16. Vandergraft J. S., 10.1137/0116101, SIAM J. Appl. Math. 16, 1208-1222 (1968). (1968) Zbl0186.05701MR0244284DOI10.1137/0116101
  17. Varga R. S., Matrix Iterative Analysis, Englewood Cliffs: Prentice-Hall, Inc. 1962. (1962) MR0158502
  18. Wielandt H., Topics in the Analytic Theory of Matrices (Lecture Notes), University of Wisconsin: Department of Mathematics. Madison, 1967. (1967) 

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