Foundations of Exact Rounding

DOI10.1007/978-3-642-00202-1_2zbMath1211.65054OpenAlexW2117337629MaRDI QIDQ3605482

Jihun Yu, Chee-Keng Yap

Publication date: 24 February 2009

Published in: WALCOM: Algorithms and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-00202-1_2

Mathematics Subject Classification ID

Roundoff error (65G50)

Related Items (2)

Adaptive isotopic approximation of nonsingular curves: The parameterizability and nonlocal isotopy approach ⋮ In Praise of Numerical Computation

Uses Software

• MPFR
• SLEEF

Cites Work

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• How to recognize zero?
• Recent progress in exact geometric computation
• Proposal for a standardization of mathematical function implementation in floating-point arith\-metic
• MPFR
• Fast Multiple-Precision Evaluation of Elementary Functions
• An accurate elementary mathematical library for the IEEE floating point standard
• Fast evaluation of elementary mathematical functions with correctly rounded last bit
• Hypergeometric Functions in Exact Geometric Computation
• Worst Cases for the Exponential Function in the IEEE 754r decimal64 Format
• Theory of Real Computation According to EGC
• Algorithms – ESA 2005
• Interval arithmetic yields efficient dynamic filters for computational geometry

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