IEEE-754 precision-\(p\) base-\(\beta\) arithmetic implemented in binary

DOI10.1145/3596218MaRDI QIDQ6604140

Siegfried M. Rump

Publication date: 12 September 2024

Published in: ACM Transactions on Mathematical Software (Search for Journal in Brave)

zbMATH Keywords

interval arithmeticfloating-point arithmeticINTLABIEEE-754double roundingbase-\(\beta\)precision-\(p\)

Mathematics Subject Classification ID

Numerical analysis (65-XX)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Fast interval matrix multiplication
• Modern Computer Arithmetic
• IEEE754 Precision- k base-β Arithmetic Inherited by Precision- m Base-β Arithmetic for k < m
• MPFR
• On relative errors of floating-point operations: Optimal bounds and applications
• Handbook of Floating-Point Arithmetic
• Accuracy and Stability of Numerical Algorithms
• FloatX
• Innocuous Double Rounding of Basic Arithmetic Operations
• Simulating Low Precision Floating-Point Arithmetic

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