This information is part of the Modelica Standard Library maintained by the Modelica Association.

Polynomials.fitting(u,y,n) computes the coefficients of a polynomial p(u) of degree "n" that fits the data "p(u[i]) - y[i]" in a least squares sense. The polynomial is returned as a vector p[n+1] that has the following definition:

  p(u) = p[1]*u^n + p[2]*u^(n-1) + ... + p[n]*u + p[n+1];

p = fitting(u, y, n)

u	Type: Real[:] Description: Abscissa data values
y	Type: Real[size(u, 1)] Description: Ordinate data values
n	Type: Integer Description: Order of desired polynomial that fits the data points (u,y)

p	Type: Real[n + 1] Description: Polynomial coefficients of polynomial that fits the date points