Inverse iteration for calculating the spectral radius of a non-negative irreducible matrix

Elsner L (1976)
Linear algebra and its applications 15(3): 235-242.

Zeitschriftenaufsatz | Veröffentlicht| Englisch
 
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Abstract / Bemerkung
Noda established the superlinear convergence of an inverse iteration procedure for calculating the spectral radius and the associated positive eigenvector of a non-negative irreducible matrix. Here a new proof is given, based completely on the underlying order structure. The main tool is Hopf's inequality. It is shown that the convergence is quadratic.
Erscheinungsjahr
1976
Zeitschriftentitel
Linear algebra and its applications
Band
15
Ausgabe
3
Seite(n)
235-242
ISSN
0024-3795
Page URI
https://pub.uni-bielefeld.de/record/1780263

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Elsner L. Inverse iteration for calculating the spectral radius of a non-negative irreducible matrix. Linear algebra and its applications. 1976;15(3):235-242.
Elsner, L. (1976). Inverse iteration for calculating the spectral radius of a non-negative irreducible matrix. Linear algebra and its applications, 15(3), 235-242. doi:10.1016/0024-3795(76)90029-X
Elsner, L. (1976). Inverse iteration for calculating the spectral radius of a non-negative irreducible matrix. Linear algebra and its applications 15, 235-242.
Elsner, L., 1976. Inverse iteration for calculating the spectral radius of a non-negative irreducible matrix. Linear algebra and its applications, 15(3), p 235-242.
L. Elsner, “Inverse iteration for calculating the spectral radius of a non-negative irreducible matrix”, Linear algebra and its applications, vol. 15, 1976, pp. 235-242.
Elsner, L.: Inverse iteration for calculating the spectral radius of a non-negative irreducible matrix. Linear algebra and its applications. 15, 235-242 (1976).
Elsner, Ludwig. “Inverse iteration for calculating the spectral radius of a non-negative irreducible matrix”. Linear algebra and its applications 15.3 (1976): 235-242.
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