I was reading the following article:
Polynomial interpolation of GPS satellite coordinates, Milan Horemuz and Johan Vium Andersson 2006
and it states the following:
"The estimation procedure of the ai coefficients is done with the Matlab function polyfit, which estimates the coefficients in a least squares sense. To improve the numerical precision, the dataset p is normalized by centering it at a zero mean; by subtracting its mean value p; and scaling it to a unit standard deviation by dividing each observation with the standard deviation σp as follows..."
My question is how does the value normalization improves the numerical precision of computational operations?