WOLFRAM

WOLFRAM SYSTEM MODELER

conditionNumber

Return the condition number norm(A)*norm(inv(A)) of a matrix A

Wolfram Language

In[1]:=
SystemModel["Modelica.Math.Matrices.conditionNumber"]
Out[1]:=

Information

This information is part of the Modelica Standard Library maintained by the Modelica Association.

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

Syntax

result = conditionNumber(A, p)

Inputs (2)

A

Type: Real[:,:]

Description: Input matrix
p

Default Value: 2

Type: Real

Description: Type of p-norm (only allowed: 1, 2 or Modelica.Constants.inf)

Outputs (1)

result

Default Value: 0.0

Type: Real

Description: Condition number of matrix A

Revisions

  • 2010/05/31 by Marcus Baur, DLR-RM