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Unrestricted algorithms for reciprocals and square roots

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Publication:1819533
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DOI10.1007/BF01935054zbMath0613.65011OpenAlexW2085330824MaRDI QIDQ1819533

F. W. J. Olver, C. W. Clenshaw

Publication date: 1986

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01935054


zbMATH Keywords

error analysisreciprocalscomputer arithmeticsquare rootsrelative precisionmulti-precision softwareunrestricted algorithms


Mathematics Subject Classification ID

Roundoff error (65G50) Computation of special functions and constants, construction of tables (65D20) Elementary functions (26A09)



Uses Software

  • Algorithm 524


Cites Work

  • Unnamed Item
  • Interval bounds for square roots and cube roots
  • Level-Index Arithmetic Operations
  • Properly rounded variable precision square root
  • Beyond Floating Point
  • An Unrestricted Algorithm for the Exponential Function
  • Further Developments of Rp and Ap Error Analysis
  • A New Approach to Error Arithmetic


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