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The method of false position provides an exact solution for linear functions, but more direct algebraic techniques have supplanted its use for these functions. However, in numerical analysis, double false position became a root-finding algorithm used in iterative numerical approximation techniques.
In numerical analysis, Ridders' method is a root-finding algorithm based on the false position method and the use of an exponential function to successively approximate a root of a continuous function (). The method is due to C. Ridders.
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Illustration of the false positition method. Created by Jitse Niesen using Xfig. Date: 19 June 2006 (original upload date) Source: No machine-readable source provided. Own work assumed (based on copyright claims). Author: No machine-readable author provided. Jitse Niesen assumed (based on copyright claims). SVG development
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