calculating maximum error
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I created an vector in matlab that represents an object moving at a velocity v(t) = 5 + 7*t^2 starting from the position x(2) = 5 at t = 2. This vector is called x and is: x2 + 5*t + 7*t.^3/3 (x2 equals 5) (this vector was solved analytically, i.e. I just integrated the velocity function. The next vector, called xtrap, was created using MATLAB's cumtrapz function: xtrap = cumtrapz(t,v) + x2.
How do I calculate the maximum error between these two solutions? Thanks.
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Wayne King
2012-5-15
max(abs(x-xtrap))
If you want to know which index in the vector was the largest difference
[maxdiff,Index] = max(abs(x-xtrap));
Another way is
norm(x-xtrap,Inf)
but that way, you don't get the index
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