Illinois Method

Updated 01 Oct 2026

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What it is
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  a modification of Regula Falsi Method that reduces stagnation caused by repeatedly retaining the same bracket endpoitn
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Mechanism
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  adjusts the interpolation weight of a repeatedly retained endpoint, commonly by halving its stored function value under the algorithm’s update rule.
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  keep the actual function values available for sign and residual checks; the adjusted value is an interpolation weight.

Linked references 1