All possible computed results in correct floating-point summation

M. Pichat

Mathematics and Computers in Simulation (MATCOM), 1988, vol. 30, issue 6, 541-552

Abstract: On a computer, any entry or elementary operation has two legitimate results, one by default and one by excess. Thus, a given algebraic algorithm with a single result is able, when processed on a computer, to generate a large set of floating-point results, all representative of the exact algebraic result. The aim of this paper is to characterize such sets in the particular case of summation.

Date: 1988
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:30:y:1988:i:6:p:541-552

DOI: 10.1016/0378-4754(88)90075-4

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