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Polynoms.PolyRoots Method
Polynoms Class  Polynoms Members  Dew.Math.Units Namespace  Polynoms Methods  Example  See Also
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Finds the roots of the polynomial from the coefficents.

Syntax
C#
Visual Basic
public static void PolyRoots(TVec Roots, TVec Coeff);
Remarks

Finds the roots of the polynomial from the coefficents. The Coeff holds the coefficients and the result is placed in the Roots. 

 

P(x) = coeff[0]*x^n + coeff[1]*x^(n-1) + .. + coeff[n+1] = (x - roots[0])* .. *(x - roots[n-1]) n ... order of the polynomial P(x).. value of the polynomial evaluated at x.

 

The Length and Complex property of the Roots parameter are set automatically. The inverse to this routine is PolyCoeff Roots are computed by finding the eigenvalues of the companion matrix.

See Also
Example
using Dew.Math; using Dew.Math.Units; using Dew.Math.Editors; namespace Dew.Examples { private void Example() { Vector Coeff = new Vector(0); Vector Roots = new Vector(0); // coefficients of the polynomial 1*x^2 - 2*x + 1: Coeff.SetIt(false, new double[] {1, -2, 1}); Polynoms.PolyRoots(Roots,Coeff); // Roots now hold the roots of the polynomial = [ 1, 1 ] // x^2 - 2x + 1 = (x - 1) * (x - 1) MtxVecEdit.ViewValues(Roots,"Roots"); } }
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