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The economical storage of plane rotations

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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.

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References

  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)

  2. Hammerling, S.: A note on modifications of the Givens method. To appear J. Inst. Math. Appl.

  3. Wilkinson, J. H.: The algebraic eigenvalue problem. London and New York: Oxford University Press (Clarendon) 1965

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Authors and Affiliations

  1. Dept. of Computer Science, University of Maryland, 20742, College Park, Maryland, USA

    G. W. Stewart

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  1. G. W. Stewart
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Additional information

This work was supported in part by the Office of Naval Research under Contract No. N00014-67-A-0239-0037.

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Stewart, G.W. The economical storage of plane rotations. Numer. Math. 25, 137–138 (1976). https://doi.org/10.1007/BF01462266

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  • DOI: https://doi.org/10.1007/BF01462266

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