Mathematica Question: Finding local maximums

[dreiter]

Hi all! This is a generic Mathematica question, which hopefully someone can help me with! :)

I have a set of data points.
I have an interpolating function from those points.
I have a graph of that interpolation function.

The graph goes like Sin^2, and has about 10 peaks. I want to have Mathematica find those 10 peaks. FindMaximum only finds 1 peak. How can I get it to find all 10?

 

[Dale]

I would use:

Union[Table[FindMaximum[f[x], {x, xInit}], {xInit, xMin, xMax, xStep}]]

 

[oswaler]

One way to find all 10 peaks is to use the FindPeaks function in Mathematica. This function allows you to specify the number of peaks to find and returns a list of the peak positions and heights. You can also specify a threshold for the peak height to filter out smaller peaks. Another option is to use the PeakDetect function, which automatically detects peaks in a given dataset. Both of these functions can be applied to your interpolating function to find all 10 peaks. Additionally, you can try using different algorithms for finding local maxima, such as the FindMaximum function with a different starting point, or the NMaximize function which allows you to specify multiple starting points.