.Modelica_LinearSystems2.Math.Matrices.Internal.hohoTrafoUpperHess

Compute the similarity (Householder-) transformation S*A*S of matrix A with householder matrix S = I - 2u*u' to compute an upper Hessenberg form

Information

This function calculates one step in the calculation of upper Hessenberg form. Therein it calculates the r'th column of the Hessenberg matrix which is of shape {x,x,fill(1,n-r-1)}.

Interface

function hohoTrafoUpperHess
  extends Modelica.Icons.Function;
  import Modelica.Math.Vectors.length;
  input Real A[:, size(A, 1)];
  input Real u[size(A, 1)] "householder vector";
  input Integer r;
  output Real SAS[size(A, 1), size(A, 1)];
end hohoTrafoUpperHess;

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