WOLFRAM SYSTEM MODELER
rankReturn rank of a rectangular matrix (computed with singular values) |
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Wolfram Language
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SystemModel["Modelica.Math.Matrices.rank"]
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Information
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.Syntax
result = rank(A, eps)
Inputs (2)
| 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 |
Outputs (1)
| result |
Type: Integer Description: Rank of matrix A |
|---|