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All possible computed results in correct floating-point summation

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  • Pichat, M.

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.

Suggested Citation

  • Pichat, M., 1988. "All possible computed results in correct floating-point summation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 30(6), pages 541-552.
    • Handle: RePEc:eee:matcom:v:30:y:1988:i:6:p:541-552
    DOI: 10.1016/0378-4754(88)90075-4
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    References listed on IDEAS

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    1. Vignes, J., 1978. "New methods for evaluating the validity of the results of mathematical computations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 20(4), pages 227-249.
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