Geodesic
Majorants of matrix norms and spectrum localization
Czechoslovak Mathematical Journal, Tome 44 (1994) no. 1, pp. 141-161

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DOI : 10.21136/CMJ.1994.128445
Classification : 15A18, 15A42, 15A48, 15A51, 15A60 
Veselý, Petr. Majorants of matrix norms and spectrum localization. Czechoslovak Mathematical Journal, Tome 44 (1994) no. 1, pp. 141-161. doi: 10.21136/CMJ.1994.128445
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[1] R.A. Horn, Ch.R. Johnson: Matrix Analysis. Cambridge University Press, Cambridge, London, New York, New Rochelle, Melbourne and Sydney, 1986. | MR

[2] A. Lešanovský: Coefficients of ergodicity generated by non-symmetrical vector norms. Czechoslovak Math. J. 40 (115) (1990), 284–294. | MR

[3] R. Kühne, A. Rhodius: A characterization of Dobrushin’s coeffiecient of ergodicity. Zeitschrift für Analysis und ihre Anwendungen 9 (2) (1990), 187–188. | DOI | MR

[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. | DOI | MR

[5] W. Rudin: Real and Complex Analysis. McGraw-Hill, Inc. New York, 1974. | MR | Zbl

[6] E. Seneta: Coefficients of ergodicity: structure and applications. Adv. Appl. Prob. 11 (1979), 576–590. | DOI | MR | Zbl

[7] E. Seneta: Spectrum localization by ergodicity coefficients for stochastic matrices. Linear and Multilinear Algebra 14 (1983), 343–347. | DOI | MR | Zbl

[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

[9] C.P. Tan: Coefficients of ergodicity with respect to vector norms. J. Appl. Prob. 20 (1983), 277–287. | DOI | MR | Zbl

[10] C.P. Tan: Spectrum localization of an ergodic stochastic matrix. Bull. Inst. Math. Acad. Sinica 12 (1984), 147–151. | MR | Zbl

[11] C.P. Tan: Spectrum localization using Hölder norms. Houston J. Math. 12 (1986), 441–449. | MR | Zbl

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