functionpolyCoef
Coefficients of a polynomial from roots
Extends from Modelica.Icons.Function (Icon for functions).
Information
The function determines the coefficients c of a polynomial of degree n from its root vector r.
c_0 + c_1*x + c_2*x^2 + ... + c_n*x^n.
The resulting n+1 coefficients are c[k, :], k=1 .. n+1, normalised such that the highest coefficient is one.
c[n+1, :] = {1, 0}
c[k, 1]: real part
c[k, 2]: imaginary part
Example
Real[3,2] r=[1,0;2,0;3,0]; Real[4,2] c; algorithm c := PowerSystems.pu.Functions.polyCoef(r);
The resulting n+1 = 4 coefficients are:
c = [-6, 0; 11, 0; -6, 0; 1, 0];
See also polyCoefReal, polyRoots
Inputs
| Type | Name | Default | Description |
|---|---|---|---|
| Real | r | root vector, 2nd index=1:2, real and imaginary part |
Outputs
| Type | Name | Default | Description |
|---|---|---|---|
| Real | c | coefficient vector, 2nd index=1:2, real and imaginary part |