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

Syntax

result = Matrices.rank(A);
result = Matrices.rank(A,eps=0);

Description

This function returns the rank of a square or rectangular matrix A computed by singular value decomposition. For details about the rank of a matrix, see http://en.wikipedia.org/wiki/Matrix_rank. To be more precise:

• rank(A) returns the number of singular values of A that are larger than max(size(A))*norm(A)*Modelica.Constants.eps.
• rank(A, eps) returns the number of singular values of A that are larger than "eps".

See also

Matrices.rcond.

result = rank(A, eps)

A	Type: Real[:,:] Description: Matrix
eps	Default Value: 0 Type: Real Description: If eps > 0, the singular values are checked against eps; otherwise eps=max(size(A))*norm(A)*Modelica.Constants.eps is used

result	Type: Integer Description: Rank of matrix A