math - Find minimum of function on C# -

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suppose have polynomial determined array of coefficients. coefficients integers -100 100. task find max point of function in range 0 1 programmatically.

how can this?

extrema occur @ roots of first derivative. compute latter , rewrite in bernstein basis (this takes resolution of triangular linear system). convex hull property tells roots possible/impossible looking changes of signs in coefficients.

using de casteljau algorithm of subdivision, can implement dichotomic process root refinement. then, computing sign of second derivative @ roots allow tell maxima minima.


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