Numerische Mathematik

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

The economical storage of plane rotations

  • G. W. Stewart


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.


Mathematical Method Matrix Computation Single Number Plane Rotation Selected Element 
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    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
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    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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