On the effect of the perturbation of a nonnegative matrix on its Perron eigenvector

Ludwig F. Elsner; Christopher R. Johnson; M. Neumann

Czechoslovak Mathematical Journal (1982)

  • Volume: 32, Issue: 1, page 99-109
  • ISSN: 0011-4642

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Elsner, Ludwig F., Johnson, Christopher R., and Neumann, M.. "On the effect of the perturbation of a nonnegative matrix on its Perron eigenvector." Czechoslovak Mathematical Journal 32.1 (1982): 99-109. <http://eudml.org/doc/13298>.

@article{Elsner1982,
author = {Elsner, Ludwig F., Johnson, Christopher R., Neumann, M.},
journal = {Czechoslovak Mathematical Journal},
keywords = {perturbation; nonnegative matrix; Perron eigenvector; irreducible},
language = {eng},
number = {1},
pages = {99-109},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the effect of the perturbation of a nonnegative matrix on its Perron eigenvector},
url = {http://eudml.org/doc/13298},
volume = {32},
year = {1982},
}

TY - JOUR
AU - Elsner, Ludwig F.
AU - Johnson, Christopher R.
AU - Neumann, M.
TI - On the effect of the perturbation of a nonnegative matrix on its Perron eigenvector
JO - Czechoslovak Mathematical Journal
PY - 1982
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 32
IS - 1
SP - 99
EP - 109
LA - eng
KW - perturbation; nonnegative matrix; Perron eigenvector; irreducible
UR - http://eudml.org/doc/13298
ER -

References

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  1. A. Berman, R. J. Plemmons, Nonnegative Matrices in The Mathematical Sciences, Academic Press, New York, 1979. (1979) Zbl0484.15016MR0544666
  2. M. Fiedler, V. Pták, On matrices with non-positive off-diagonal elements and positive principal minors, Czech. Math. J., 12 (1962), pp. 382-400. (1962) MR0142565
  3. A. Nold-Williamson, Systems Approaching Equilibria in Disease Transmission and Competition for Resources, Ph. D. Dissertation, The University of Maryland, 1977. (1977) 
  4. T. Saaty, 10.1016/0022-2496(77)90033-5, J. Math. Psycology, 15 (1977), pp. 234-281. (1977) Zbl0372.62084MR0682619DOI10.1016/0022-2496(77)90033-5
  5. E. Seneta, Nonnegative Matrices: An Introduction to the Theory and Applications, Wiley and Sons, New York, 1973. (1973) MR0389944
  6. R. S. Varga, Matrix Iterative Analysis, Prentice-Hall, Englewood Cliffs, New Jersey, 1962. (1962) MR0158502
  7. J. H. Wilkinson, The Algebraic Eigenvalue Problem, Oxford University Press, New York 1965. (1965) Zbl0258.65037MR0184422

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