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Automatic Forward Error Analysis for Floating Point Algorithms

✍ Scribed by Walter Krämer; Armin Bantle

Book ID
110302757
Publisher
Springer
Year
2001
Tongue
English
Weight
142 KB
Volume
7
Category
Article
ISSN
1385-3139

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A new error-free floating-point summatio
A new error-free floating-point summation algorithm
✍ V.Y. Pan; B. Murphy; G. Qian; R.E. Rosholt 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 368 KB

Summation is a basic operation in scientific computing; furthermore division-free arithmetic computations can be boiled down to summation. We propose a new summation algorithm, which consists of double-precision floating-point operations and outputs the error-free sums. The computational time is pro