Consider sqrt(x^2+y^2)+2sqrt(x^2+y^2-2x+1)+sqrt(x^2+y^2-6x-8y+25)
I need to find Global or Local minima of this function
but Wolfram Alpha doesn’t seem to find one but the answer is 1 + 2sqrt(5) and it’s global minimum
Am I doing something wrong?
with word “local”
This function seems excessively difficult for the Wolfram Engine solve symbolically - which is what Wolfram|Alpha seems to be trying to do.
I do not know if Wolfram|Alpha can numerically minimize, but here is an example of using a notebook (which is free for small computations like this):
Solving it numerically is fast: