Optimization problem with quadratic function
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Hello everyone,
I hope someone could help me. This is the problem:
I have 12 points which are experimental measures, represented by 3 independent variables (x,y,z) and the fourth one that represents the density and it depends from the others: w= f(x,y,z). I need to:
-plot the data,
-obtain the quadratic fit function w, i.e. the function that describes the density,
-represent the isosurfaces where w is constant.
- Finally I need to minimize this quadratic function with no constraints.
Starting from
x = rand(12, 1);
y = rand(12, 1);
z = rand(12, 1);
w = rand(12, 1);
I found the quadratic function but I'm not sure how to represent the values of f(x,y,z) like isosurfaces and how to minimize it.
Thanks a lot!
Laura
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