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Numerische Mathematik

, Volume 17, Issue 5, pp 382–386 | Cite as

Note on the computation of the maximal eigenvalue of a non-negative irreducible matrix

  • Takashi Noda
Article

Summary

We prove the convergence of Wielandt's method in the computation of the maximal eigenvalue and eigenvector of a non-negative irreducible matrix.

Keywords

Mathematical Method Maximal Eigenvalue Irreducible Matrix 
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References

  1. 1.
    Noda, T.: Wielandt's method applied to the time independent neutron diffusion difference equations [in Japanese]. Jōhōshori.7, 84–90 (1966).Google Scholar
  2. 2.
    Ostrowski, A. M.: On the convergence of the Rayleigh quotient iteration for the computation of the characteristic roots and vectors V. Archive for Rational Mechanics and Analysis3, 472–481 (1959).Google Scholar
  3. 3.
    Varga, R. S.: Matrix iterative analysis. Englewood Cliffs, N.J.: Prentice-Hall, Inc. 1962.Google Scholar

Copyright information

© Springer-Verlag 1971

Authors and Affiliations

  • Takashi Noda
    • 1
  1. 1.Nuclear Energy DivisionCentral Research Laboratory, Hitachi, LtdKawasaki, KanagawaJapan

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