functionpolyCoefReal

Coefficients of a polynomial from real roots

Extends from Modelica.Icons.Function (Icon for functions).

Information

The function determines the coefficients c of a polynomial of degree n from its real 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

Example

Real[3] r={1,2,3}; Real[4] c; algorithm c := PowerSystems.pu.Functions.polyCoefReal(r);

The resulting n+1 = 4 coefficients are:

c = {-6, 11, -6, 1};

See also polyCoef, polyRoots

Inputs

TypeNameDefaultDescription
Realrroot vector

Outputs

TypeNameDefaultDescription
Realccoefficient vector