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


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


Mathematical Method Maximal Eigenvalue Irreducible Matrix 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  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

Personalised recommendations