Number shortening algorithms

DOI10.1016/S0168-9274(00)00007-6zbMath0967.68005MaRDI QIDQ5928464

Richard H. Goodman, Alan Feldstein

Publication date: 28 March 2001

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

zbMATH Keywords

bias removalfloating point numbersnumber shortening

Mathematics Subject Classification ID

Mathematical problems of computer architecture (68M07)

Cites Work

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• On roundoff error distributions in floating point and logarithmic arithmetic
• Some models of relative error in products
• Relative error in floating-point multiplication
• Round-off error in products
• Further Revelations on L.S.D.
• Overflow, Underflow, and Severe Loss of Significance in Floating-Point Addition and Subtraction
• Improved Trailing Digits Estimates Applied to Optimal Computer Arithmetic
• The Distribution of Leading Significant Digits
• Convergence Estimates for the Distribution of Trailing Digits
• Roundoff Error Distribution in Fixed-Point Multiplication and a Remark about the Rounding Rule
• Static and Dynamic Numerical Characteristics of Floating-Point Arithmetic

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