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

result = conditionNumber(A, p)

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)

result	Default Value: 0.0 Type: Real Description: Condition number of matrix A