| Title:
|
On the effect of the perturbation of a nonnegative matrix on its Perron eigenvector (English) |
| Author:
|
Elsner, Ludwig F. |
| Author:
|
Johnson, C. R. |
| Author:
|
Neumann, M. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
32 |
| Issue:
|
1 |
| Year:
|
1982 |
| Pages:
|
99-109 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
15A48 |
| idZBL:
|
Zbl 0501.15010 |
| idMR:
|
MR646715 |
| DOI:
|
10.21136/CMJ.1982.101787 |
| . |
| Date available:
|
2008-06-09T14:47:05Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101787 |
| . |
| Reference:
|
[1] A. Berman, R. J. Plemmons: Nonnegative Matrices in The Mathematical Sciences.Academic Press, New York, 1979. Zbl 0484.15016, MR 0544666 |
| Reference:
|
[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. MR 0142565 |
| Reference:
|
[3] A. Nold-Williamson: Systems Approaching Equilibria in Disease Transmission and Competition for Resources.Ph. D. Dissertation, The University of Maryland, 1977. |
| Reference:
|
[4] T. Saaty: A scaling method for priorities in hierarchical structures.J. Math. Psycology, 15 (1977), pp. 234-281. Zbl 0372.62084, MR 0682619, 10.1016/0022-2496(77)90033-5 |
| Reference:
|
[5] E. Seneta: Nonnegative Matrices: An Introduction to the Theory and Applications.Wiley and Sons, New York, 1973. MR 0389944 |
| Reference:
|
[6] R. S. Varga: Matrix Iterative Analysis.Prentice-Hall, Englewood Cliffs, New Jersey, 1962. MR 0158502 |
| Reference:
|
[7] J. H. Wilkinson: The Algebraic Eigenvalue Problem.Oxford University Press, New York 1965. Zbl 0258.65037, MR 0184422 |
| . |
