I have been using matrix linear regression with much succes on several sets of equations until now. Now however, I have a set of equations which I have not been able to linearise. As such I cannot use the aforementioned method. It is a set of 4 equations, with 3 unknowns (x, y and p). I’d like to find the best fitting values for the three unknowns. The equations are:

a = yx

b = y(2px -1)

c = py(xp - 2)

d = -pyy = -py^2

a, b, c and d are known constants

x, y and p are unknowns for which best fitting values need to be found.

What method can be used to find best fitting values for x, y and p?

Thanks, Koen.