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Journal of the ACM
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On Local Roundoff Errors in Floating-Point Arithmetic

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Abstract

A bound on the relative error in floating-point addition using a single-precision accumulator with guard digits is derived. It is shown that even with a single guard digit, the accuracy can be almost as good as that using a double-precision accumulator. A statistical model for the roundoff error in double-precision multiplication and addition is also derived. The model is confirmed by experimental measurements. © 1973, ACM. All rights reserved.

Date

01 Jul 1973

Publication

Journal of the ACM

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