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Improve desctiption in gaussian elimination #177

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Jan 15, 2023
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Improve desctiption in gaussian elimination #177

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2 changes: 1 addition & 1 deletion docs/02algorithms/10gaussian-elimination/index.mdx
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Expand Up @@ -460,7 +460,7 @@ $i$ 行、$i$ 列が pivot となるので、$i$ 行目を pivot の値で割っ

次は、後退代入を行います。

$x_n$ は $d_n$ になります。求まった $x_n$ をそれよりも上の式に代入して、$b_{j, n - 1}x_{n - 1}$ を右辺に移動させ、$d_{n - 1}$ の値を更新します。これを繰り返すと、後退代入ができます。
$x_n$ は $d_n$ になります。求まった $x_n$ をそれよりも上の式に代入して、$b_{j, n}x_n(1\leq j\leq n-1)$ を右辺に移動させ、$d_j(1\leq j\leq n-1)$ の値を更新します。これを繰り返すと、後退代入ができます。

プログラムは次のようになります。計算量は、$O(n^3)$ です。

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