All possible computed results in correct floating-point summation

DOI10.1016/0378-4754(88)90075-4zbMath0669.65033OpenAlexW2040544541MaRDI QIDQ1118976

M. Pichat

Publication date: 1988

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4754(88)90075-4

zbMATH Keywords

error analysisNumerical examplessummation algorithmsarithmetic summationbinary summationcorrect floating-point arithmetic

Mathematics Subject Classification ID

Interval and finite arithmetic (65G30) Roundoff error (65G50)

Cites Work

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• Stochastic approach of the permutation-perturbation method for round-off error analysis
• New methods for evaluating the validity of the results of mathematical computations
• Perturbation Theory for Evaluation Algorithms of Arithmetic Expressions
• Accurate floating-point summation