# 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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topElsner, 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

top- A. Berman, R. J. Plemmons, Nonnegative Matrices in The Mathematical Sciences, Academic Press, New York, 1979. (1979) Zbl0484.15016MR0544666
- 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
- A. Nold-Williamson, Systems Approaching Equilibria in Disease Transmission and Competition for Resources, Ph. D. Dissertation, The University of Maryland, 1977. (1977)
- 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
- E. Seneta, Nonnegative Matrices: An Introduction to the Theory and Applications, Wiley and Sons, New York, 1973. (1973) MR0389944
- R. S. Varga, Matrix Iterative Analysis, Prentice-Hall, Englewood Cliffs, New Jersey, 1962. (1962) MR0158502
- J. H. Wilkinson, The Algebraic Eigenvalue Problem, Oxford University Press, New York 1965. (1965) Zbl0258.65037MR0184422

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