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Numerische Mathematik

, Volume 25, Issue 2, pp 137–138 | Cite as

The economical storage of plane rotations

  • G. W. Stewart
Article

Summary

Plane rotations, which have long been used in matrix computations to annihilate selected elements of a matrix, have the drawback that their definition requires two numbers. In this note it is shown how this information may be stably compacted into a single number.

Keywords

Mathematical Method Matrix Computation Single Number Plane Rotation Selected Element 
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.

References

  1. 1.
    Gentleman, W. M.: Least squares computations by Givens transformations without square roots. University of Waterloo, Department of Applied Analysis and Computer Science, Research Report CSRR-2062 (1972)Google Scholar
  2. 2.
    Hammerling, S.: A note on modifications of the Givens method. To appear J. Inst. Math. Appl.Google Scholar
  3. 3.
    Wilkinson, J. H.: The algebraic eigenvalue problem. London and New York: Oxford University Press (Clarendon) 1965Google Scholar

Copyright information

© Springer-Verlag 1976

Authors and Affiliations

  • G. W. Stewart
    • 1
  1. 1.Dept. of Computer ScienceUniversity of MarylandCollege ParkUSA

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