Last Updated:2025/12/07

(numerical analysis) An algorithm that significantly reduces the numerical error in the total obtained by adding a sequence of finite-precision floating-point numbers, compared to the obvious approach, by tracking the accumulated small errors in a separate variable.

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Kahan summation algorithm

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Kahan summation algorithm

Proper noun
Japanese Meaning
(数値解析) 有限精度の浮動小数点数を順次足し合わせた際に生じる数値誤差を、各ステップの小さな誤差を別の変数で追跡することで大幅に低減するアルゴリズム。
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数千の浮動小数点数を足し合わせるとき、蓄積した丸め誤差を大幅に減らすために、カーンによる補償和アルゴリズムを使いました。

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