Maxima of Multivariable Polynomial

[jaysmall]

Here is my polynomial Z (X, Y):

Z =  +1.81E+5 -2.71E+3 * x +1.47E+3 * y +3.37E+0 * x^2 -2.12E+1 * xy +4.56E+0 * y^2 -7.78E-3 * x^3 +1.79E-2 * x^2y -6.24E-2 * xy^2 +6.44E-3 * y^3 +3.54E-6 * x^4 -3.00E-5 * x^3y +3.11E-5 * x^2y^2 -8.17E-5 * xy^3 +3.77E-6 * y^4 -8.57E-9 * x^5 +2.70E-9 * x^4y -2.98E-8 * x^3y^2 +1.76E-8 * x^2y^3 -4.03E-8 * xy^4 +4.38E-10 * y^5

As far as I can find, there is no way to maximize this function. Has anyone had success doing something like this before?

[Kameralina]

Hello,

Are you looking for which functions to use in LabVIEW to achieve this?  Or what analytic methods to use?

I would take a look at this forum post since it involved first finding a polynomial fit, and then finding the extrema of that polynomial:
how can you perform curve fitting to a 2d array and find the maximum?

Good luck!

[altenbach]

It would really help to keep everything related to the same problem in one thread. See my answer over there.

http://forums.ni.com/ni/board/message?board.id=170&view=by_date_ascending&message.id=337233#M337233