ON THE DISTRIBUTION OF ACCUMULATED ROUNDOFF ERROR IN FLOATING POINT ARITHMETIC.

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Abstract

Local roundoff error in floating point addition is characterized and its mean and variance are approximated. These results are applied to finding distributions for the roundoff error accumulated in sums and long inner products. Theorems are stated which resolve some open questions.

Original languageEnglish (US)
Pages100-105
Number of pages6
Publication statusPublished - Jan 1 1981
EventProc - Symp on Comput Arith, 5th - Ann Arbor, Mich
Duration: May 18 1981May 19 1981

Other

OtherProc - Symp on Comput Arith, 5th
CityAnn Arbor, Mich
Period5/18/815/19/81

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All Science Journal Classification (ASJC) codes

  • Engineering(all)

Cite this

Barlow, J. L. (1981). ON THE DISTRIBUTION OF ACCUMULATED ROUNDOFF ERROR IN FLOATING POINT ARITHMETIC.. 100-105. Paper presented at Proc - Symp on Comput Arith, 5th, Ann Arbor, Mich, .