Problem 965. False position (linear interpolation) method of finding a root.

Created by Robert Canfield

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Test the false position algorithm described in Chapter 5 of Steven C. Chapra's textbook, Applied Numerical Methods with MATLAB for Engineers and Scientists. The first test case uses the following problem on the interval [1 3].
f(x)=x^2-4=0
The first test will be a single iteration of false position. Other tests for varying termination criteria, intervals, and other functions will be added later.

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Last Solution submitted on Jan 03, 2026

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Richard Zapor on 3 Oct 2012

A link to the "false position method" can be placed in the Challenge description.
The syntax is .

I found the algorithm at http://math.fullerton.edu/mathews/n2003/regulafalsi/RegulaFalsiProof.pdf

will create a link with a name. Spaces before the < and after the > are needed.

Rafael S.T. Vieira on 2 Nov 2020

The idea of the method is that the lower and upper bounds for x define a line. Wherever this line crosses the x-axis becomes our new estimate for the root (1st iteration is like the secant method). https://en.wikipedia.org/wiki/Regula_falsi

Rafael S.T. Vieira on 2 Nov 2020

This problem needs more test cases.

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Problem 965. False position (linear interpolation) method of finding a root.

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Problem 965. False position (linear interpolation) method of finding a root.

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Last 200 Solutions

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Problem Recent Solvers24

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