On the Round-off Error Estimation Using IEEE754 Floating-Point Arithmetic

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  • IEEE754規格を利用した丸め誤差の測定法について
  • IEEE754 キカク オ リヨウシタ マルメ ゴサ ノ ソクテイホウ ニ ツ

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Abstract

We propose the round-off error estimation using IEEE754 floating-point arithmetic which widely used on various workstations and personal computers. Interval Analysis is one of the standard methods in order to estimatite round-off errors in numerical processes, but it is not more convenient for a lot of users. In this paper, we explain the proposed estimation and show the source programs which can run on SparcStaion, PC-9801 and IBM PC/AT compatible. Finally, numerical experiments demonstrate the effectiveness of the proposed estimation.

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