.Modelica_LinearSystems2.Math.Matrices.sylvester

Information

This function computes the solution X of the continuous-time Sylvester equation

A*X + X*B = C

using the Schur method for Sylvester equations proposed by Bartels and Stewart [1].

References

 [1] Bartels, R.H. and Stewart G.W. (1972):

Algorithm 432: Solution of the matrix equation AX + XB = C. Comm. ACM., Vol. 15, pp. 820-826.
 

Interface

function sylvester
  extends Modelica.Icons.Function;
  import MatricesMSL = Modelica.Math.Matrices;
  input Real A[:, :] "Matrix A";
  input Real B[:, :] "Matrix B";
  input Real C[size(A, 1), size(B, 2)] "Matrix C";
  input Boolean aIsSchur = false "True if A has already real Schur form";
  input Boolean bIsSchur = false "True if B has already real Schur form";
  output Real X[size(A, 1), size(B, 2)] "Solution of Sylvester equation";
end sylvester;

Revisions