範例：Thiele 內插

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範例：Thiele 內插

在數據集上執行 Thiele 連續分數內插。

Thielecoeff 與 Thiele

使用 Thielecoeff 與 Thiele 函數內插來自有理函數的數據集。

1. 定義內插點數。

2. 定義有理函數，例如 Lorentzian 函數。

3. 取樣函數並將其 x 與 y 值記錄到向量中。

4. 使用 Thielecoeff 函數求解擬合樣本點之連續分數的係數。

5. 呼叫 Thiele 函數執行內插。

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Thiele 函數成功，但 rationalint 函數在此內插範圍中的某幾點上失敗。這是因為數據對稱，因而導致在 x 的某些中間值上發生除以零的錯誤：

6. 繪製原始函數、樣本點及內插曲線。

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7. 繪製表示 Thiele 內插之殘差的圖形。