Relative error in floating-point multiplication

DOI10.1007/BF02260500zbMath0564.65030MaRDI QIDQ1058264

Richard H. Goodman, Alan Feldstein, Joaquin Bustoz

Publication date: 1985

Published in: Computing (Search for Journal in Brave)

zbMATH Keywords

floating point numbersround-off errorrelative errorcomputer arithmeticfloating point multiplicationlogarithmically distributed numbersfloating point precision and significancefraction errorguard digitsmean and standard deviation of errorsnormalization options

Mathematics Subject Classification ID

Roundoff error (65G50)

Related Items (2)

Some models of relative error in products ⋮ Number shortening algorithms

Cites Work

• Unnamed Item
• Some models of error in floating point multiplication
• Effect of guard digits and normalization options on floating point multiplication
• Improved Trailing Digits Estimates Applied to Optimal Computer Arithmetic
• The Distribution of Leading Significant Digits
• Convergence Estimates for the Distribution of Trailing Digits
• On the distributions of significant digits and roundoff errors
• On Local Roundoff Errors in Floating-Point Arithmetic

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