BIT Numerical Mathematics

, Volume 26, Issue 4, pp 475–492 | Cite as

Unrestricted algorithms for reciprocals and square roots

  • C. W. Clenshaw
  • F. W. J. Olver
Part II Numerical Mathematics


Algorithms are presented for the computation of reciprocals of nonzero real numbers and square roots of positive numbers. There are no restrictions on the range of the numbers or on the precision that may be demanded in the results.

1980 Mathematics Subject Classification

Primary 65D20 


Computer arithmetic error analysis multiple-precision software relative precision unrestricted alborithms 


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Copyright information

© BIT Foundations 1986

Authors and Affiliations

  • C. W. Clenshaw
    • 1
    • 2
  • F. W. J. Olver
    • 1
    • 2
    • 3
  1. 1.Department of MathematicsThe University of LancasterLancasterU.K.
  2. 2.Institute for Physical Science and TechnologyThe University of MarylandCollege ParkU.S.A.
  3. 3.National Bureau of StandardsGaithersburgU.S.A.

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