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
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- A. Nold-Williamson, Systems Approaching Equilibria in Disease Transmission and Competition for Resources, Ph. D. Dissertation, The University of Maryland, 1977. (1977)
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- 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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