Interpolate the roots/positions of sign changes

version 1.0.0 (1.72 KB) by Max Mustermann
This function interpolates the x-positions of roots/sign changes in the data in y and adds the roots to the vectors.

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Updated 6 Dec 2021

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Interpolate the x-positions of roots/sign changes in the data in y. This is helpful if you want to treat the positive and negative parts of y differently.
Example: y = x^3 - 4*x has three roots at x = -2, x = 0 and x = 2. The vector
x = linspace(-3, 3, 50)
does not include these roots.
y = x.^3 - 4.*x;
[xNew, yNew] = interpolateRoots(x, y)
interpolates the roots to x = -1.9984, x = 0 and x = 1.9984 and returns the extended vectors xNew and yNew including these interpolated roots at the corresponding positions. xNew and yNew are 53 elements long while x and y contain 50 elements.

Cite As

Max Mustermann (2022). Interpolate the roots/positions of sign changes (https://www.mathworks.com/matlabcentral/fileexchange/103045-interpolate-the-roots-positions-of-sign-changes), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2021b
Compatible with any release
Platform Compatibility
Windows macOS Linux

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