Improved Trailing Digits Estimates Applied to Optimal Computer Arithmetic

DOI10.1145/322154.322162zbMath0429.65038OpenAlexW1967131543MaRDI QIDQ3867041

Alan Feldstein, Seppo Linnainmaa, Richard H. Goodman, Joaquin Bustoz

Publication date: 1979

Published in: Journal of the ACM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1145/322154.322162

zbMATH Keywords

roundoff errorcomputer arithmeticlogarithmically distributed numbersguard digitsnormalization optionsfloating-point numbersfloating-point multiplicationfloating-point precision and significance, fraction errormean and standard deviation of errornonleading digitstrailing digitsuniformly distributed numbers

Mathematics Subject Classification ID

Roundoff error (65G50) Theory of software (68N99)

Related Items (6)

Some models of error in floating point multiplication ⋮ Some models of relative error in products ⋮ Number shortening algorithms ⋮ On roundoff error distributions in floating point and logarithmic arithmetic ⋮ Relative error in floating-point multiplication ⋮ Probabilistic error analysis of Gaussian elimination in floating point and logarithmic arithmetic

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