Correct rounding of algebraic functions

DOI10.1051/ita:2007002zbMath1181.65034OpenAlexW2162655755MaRDI QIDQ5444103

Nicolas Brisebarre, Jean-Michel Muller

Publication date: 22 February 2008

Published in: RAIRO - Theoretical Informatics and Applications (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ITA_2007__41_1_71_0

zbMATH Keywords

algebraic functionscomputer arithmeticFloating-point arithmeticcorrect roundingdiophantine approximation.

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Approximation to algebraic numbers (11J68)

Related Items (1)

About accuracy increase of fractional order derivative and integral computations by applying the Grünwald-Letnikov formula

Cites Work

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• The \(abc\) conjecture and correctly rounded reciprocal square roots
• Searching worst cases of a one-variable function using lattice reduction
• An accurate elementary mathematical library for the IEEE floating point standard
• Rational approximations to algebraic numbers

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