Numerische Mathematik

, Volume 12, Issue 5, pp 377–383

The implicitQL algorithm

  • Roger S. Martin
  • Wilkinson J. H. 
Handbook Series Linear Algebra


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  1. 1.
    Bowdler, Hilary, R. S. Martin, C. Reinsch, andJ. H. Wilkinson: TheQR andQL algorithms for symmetric matrices. Numerische Mathematik11, 293–306 (1968).Google Scholar
  2. 2.
    Francis, J. G. F.: TheQR transformation, Part I and II. Computer Journal4, 265–271, 332-345 (1961, 1962).Google Scholar
  3. 3.
    Givens, J. W.: A method for computing eigenvalues and eigenvectors suggested by classical results on symmetric matrices. Nat. Bur. Standards Appl. Math. Ser.29, 117–122 (1953)Google Scholar
  4. 4.
    Martin, R. S., C. Reinsch, andJ. H. Wilkinson: Householder's tridiagonalization of a symmetric matrix. Numerische Mathematik11, 181–195 (1968).Google Scholar

Copyright information

© Springer-Verlag 1968

Authors and Affiliations

  • Roger S. Martin
    • 1
  • Wilkinson J. H. 
    • 1
  1. 1.Division of Numerical and Applied MathematicsNational Physical LaboratoryTeddingtonGreat Britain

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