Numerische Mathematik

, Volume 9, Issue 5, pp 386–393 | Cite as

Calculation of the eigenvalues of a symmetric tridiagonal matrix by the method of bisection

  • W. Barth
  • R. S. Martin
  • J. H. Wilkinson
Handbook Series Linear Algebra

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References

  1. [1]
    Bowdler, H. J., C. Reinsch, andJ. H. Wilkinson: TheQR algorithm for symmetric tridiagonal matrices (to be published in this series).Google Scholar
  2. [2]
    Givens, J. W.: Numerical computation of the characteristic values of a real symmetric matrix. Oak Ridge National Laboratory, ORNL-1574 (1954).Google Scholar
  3. [3]
    Rutishauser, H.: Stabile Sonderfalle des Quotienten-Differenzen-Algorithmus. Numerische Mathematik5, 95–11 (1963).CrossRefGoogle Scholar
  4. [4]
    Wilkinson, J. H.: Error analysis of floating-point computation. Numerische Mathematik2, 319–340 (1960).CrossRefGoogle Scholar
  5. [5]
    —— Calculation of the eigenvalue of a symmetric tridiagonal matrix by the method of bisection. Numerische Mathematik4, 362–367 (1962).CrossRefGoogle Scholar
  6. [6]
    —— The algebraic eigenvalue problem. London: Oxford University Press 1965.Google Scholar

Copyright information

© Springer-Verlag 1967

Authors and Affiliations

  • W. Barth
    • 1
    • 2
  • R. S. Martin
    • 1
    • 2
  • J. H. Wilkinson
    • 1
    • 2
  1. 1.Rechenzentrum Technische HochschuleDarmstadt
  2. 2.National Physical LaboratoryTeddington, MiddlesexGreat Britain

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