Intersection of an equation and discrete points.

[maistral]

How do you calculate the intersection of discrete data points and an equation?

Actually I have two ways already, one is to just take the equation of the discrete points then solve it using a root-finding technique. The other would be substituting the x values of the discretized points to the equation, then comparing the y values of the discretized points and the calculated y values from the equation; they should be close (if not totally similar). While this method seems to work, it isn't... exactly possible in my situation.

Is there any other way to do this?

 

[sugaralc]

When I faced this problem, I used the root-finder implemented in programs like Mathematica, matlab, etc. This way is very easy and pragmatic. This is the link for FindRoot coomand in Mathematica. http://reference.wolfram.com/mathematica/ref/FindRoot.html