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  "body": "\n## Summary\n\nWynn's epsilon algorithm is a recursive scheme that computes the values of the [[Shanks transformation|C0TXDZZMH7]] without evaluating determinants.\nEach new entry of its table is computed from three earlier entries by one subtraction, one division and one addition.\nIt is one of the most widely used nonlinear [[series acceleration|B1S2XJPGYD]] methods.\n\n## Explanations\n\n### L1 human\n\nThe Shanks transformation is defined by large determinants, which are expensive and unstable to compute.\nWynn found a short recursion that fills a triangular table column by column.\nThe even columns of the table contain the Shanks values; the odd columns are only intermediate results.\nFor example, the second column built from the partial sums $1, \\frac23, \\frac{13}{15}$ of the Leibniz series gives $\\frac{19}{24}$, the first Shanks value.\n",
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