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URN: urn:nbn:de:0030-drops-14357
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Implementation of the reciprocal square root in MPFR

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Abstract

We describe the implementation of the reciprocal square root --- also called
inverse square root --- as a native function
in the MPFR library. The difficulty is to implement
Newton's iteration for the reciprocal square root on top's of GNU MP's
extsc{mpn} layer, while guaranteeing a rigorous $1/2$ ulp bound on the
roundoff error.



BibTeX - Entry

@InProceedings{zimmermann:DagSemProc.08021.12,
  author =	{Zimmermann, Paul},
  title =	{{Implementation of the reciprocal square root in MPFR}},
  booktitle =	{Numerical Validation in Current Hardware Architectures},
  pages =	{1--3},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2008},
  volume =	{8021},
  editor =	{Annie Cuyt and Walter Kr\"{a}mer and Wolfram Luther and Peter Markstein},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2008/1435},
  URN =		{urn:nbn:de:0030-drops-14357},
  doi =		{10.4230/DagSemProc.08021.12},
  annote =	{Keywords: Multiple precision, floating-point, inverse square root, correct rounding, MPFR library}
}

Keywords: Multiple precision, floating-point, inverse square root, correct rounding, MPFR library
Seminar: 08021 - Numerical Validation in Current Hardware Architectures
Issue date: 2008
Date of publication: 22.04.2008


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