| Title:
|
Majorants of matrix norms and spectrum localization (English) |
| Author:
|
Veselý, Petr |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
44 |
| Issue:
|
1 |
| Year:
|
1994 |
| Pages:
|
141-161 |
| . |
| Category:
|
math |
| . |
| MSC:
|
15A18 |
| MSC:
|
15A42 |
| MSC:
|
15A48 |
| MSC:
|
15A51 |
| MSC:
|
15A60 |
| idZBL:
|
Zbl 0814.15015 |
| idMR:
|
MR1257941 |
| DOI:
|
10.21136/CMJ.1994.128445 |
| . |
| Date available:
|
2009-09-24T09:37:00Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128445 |
| . |
| Reference:
|
[1] R.A. Horn, Ch.R. Johnson: Matrix Analysis.Cambridge University Press, Cambridge, London, New York, New Rochelle, Melbourne and Sydney, 1986. MR 1084815 |
| Reference:
|
[2] A. Lešanovský: Coefficients of ergodicity generated by non-symmetrical vector norms.Czechoslovak Math. J. 40 (115) (1990), 284–294. MR 1046294 |
| Reference:
|
[3] R. Kühne, A. Rhodius: A characterization of Dobrushin’s coeffiecient of ergodicity.Zeitschrift für Analysis und ihre Anwendungen 9 (2) (1990), 187–188. MR 1063254, 10.4171/ZAA/392 |
| Reference:
|
[4] U.G. Rothblum, C.P. Tan: Upper bounds on the maximum modulus of subdominant eigenvalues of nonnegative matrices.Linear Algebra Appl. 66 (1985), 45–86. MR 0781294, 10.1016/0024-3795(85)90125-9 |
| Reference:
|
[5] W. Rudin: Real and Complex Analysis.McGraw-Hill, Inc. New York, 1974. Zbl 0278.26001, MR 0344043 |
| Reference:
|
[6] E. Seneta: Coefficients of ergodicity: structure and applications.Adv. Appl. Prob. 11 (1979), 576–590. Zbl 0406.60060, MR 0533060, 10.2307/1426955 |
| Reference:
|
[7] E. Seneta: Spectrum localization by ergodicity coefficients for stochastic matrices.Linear and Multilinear Algebra 14 (1983), 343–347. Zbl 0526.15013, MR 0724382, 10.1080/03081088308817569 |
| Reference:
|
[8] E. Seneta, C. P. Tan: The Euclidean and Frobenius ergodicity coefficients and spectrum localization.Bull. Malaysia Math. Soc. (7) 1 (1984), 1–7. MR 0767334 |
| Reference:
|
[9] C.P. Tan: Coefficients of ergodicity with respect to vector norms.J. Appl. Prob. 20 (1983), 277–287. Zbl 0515.60072, MR 0698531, 10.2307/3213801 |
| Reference:
|
[10] C.P. Tan: Spectrum localization of an ergodic stochastic matrix.Bull. Inst. Math. Acad. Sinica 12 (1984), 147–151. Zbl 0551.15009, MR 0765108 |
| Reference:
|
[11] C.P. Tan: Spectrum localization using Hölder norms.Houston J. Math. 12 (1986), 441–449. Zbl 0613.15013, MR 0869127 |
| . |
