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The implicitQL algorithm

  • Handbook Series Linear Algebra
  • Published:
Numerische Mathematik Aims and scope Submit manuscript

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References

  1. Bowdler, Hilary, R. S. Martin, C. Reinsch, andJ. H. Wilkinson: TheQR andQL algorithms for symmetric matrices. Numerische Mathematik11, 293–306 (1968).

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  2. Francis, J. G. F.: TheQR transformation, Part I and II. Computer Journal4, 265–271, 332-345 (1961, 1962).

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  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)

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  4. Martin, R. S., C. Reinsch, andJ. H. Wilkinson: Householder's tridiagonalization of a symmetric matrix. Numerische Mathematik11, 181–195 (1968).

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Authors and Affiliations

  1. Division of Numerical and Applied Mathematics, National Physical Laboratory, Teddington, Middlesex, Great Britain

    Roger S. Martin & Wilkinson J. H.

Authors
  1. Roger S. Martin
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  2. Wilkinson J. H.
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Editoy's note. In this fascicle, prepublication of algorithms from the Linear Algebra Series of the Handbook for Automatic Computation is continued. Algorithms are published inAlgol 60 reference language as approved by the IFIP. Contributions in this series should be styled after the most recently published ones.

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Martin, R.S., Wilkinson, J.H. The implicitQL algorithm. Numer. Math. 12, 377–383 (1968). https://doi.org/10.1007/BF02161360

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  • DOI: https://doi.org/10.1007/BF02161360

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