.Modelica.Math.Matrices.conditionNumber

Information

Syntax

r = Matrices.conditionNumber(A);

Description

This function calculates the condition number (norm(A) * norm(inv(A))) of a general real matrix A, in either the 1-norm, 2-norm or the infinity-norm. In the case of 2-norm the result is the ratio of the largest to the smallest singular value of A. For more details, see http://en.wikipedia.org/wiki/Condition_number.

Example

A = [1, 2;
     2, 1];
r = conditionNumber(A);

results in:

r = 3.0

See also

Matrices.rcond

Interface

function conditionNumber
  extends Modelica.Icons.Function;
  input Real A[:, :] "Input matrix";
  input Real p(min = 1) = 2 "Type of p-norm (only allowed: 1, 2 or Modelica.Constants.inf)";
  output Real result = 0.0 "Condition number of matrix A";
end conditionNumber;

Revisions

• 2010/05/31 by Marcus Baur, DLR-RM