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Matrix Norm (Not in Base Package)

Computes the norm of Input Matrix. You can use this polymorphic VI to compute the norm for a real matrix or a complex matrix. The data type you wire to the Input Matrix input determines the polymorphic instance to use. Example

Real Matrix Norm

Input Matrix can be a square or rectangular, real matrix.
norm type indicates what type of norm is used to compute the norm.

02-norm—||A||2 is the largest singular value of the Input Matrix.
11-norm—||A||1 is the largest column sum of the Input Matrix.
2F-norm—||A||f is equal to where diag ATA means the diagonal elements of matrix ATA and AT is the transpose of A.
3inf-norm—||A|| is the largest row sum of the Input Matrix.
norm is a scalar that gives some measure of the magnitude of the elements in the matrix. Let A represent the Input Matrix, the norm of A is represented by ||A||p, where p can be 1, 2, F, or infinity, indicating different types of norms that are computed.
error returns any error or warning from the VI. You can wire error to the Error Cluster From Error Code VI to convert the error code or warning into an error cluster.

Complex Matrix Norm

Input Matrix can be a square or rectangular, complex matrix.
norm type indicates what type of norm is used to compute the norm.

02-norm—||A||2 is the largest singular value of the Input Matrix.
11-norm—||A||1 is the largest column sum of the Input Matrix.
2F-norm—||A||f is equal to where diag ATA means the diagonal elements of matrix ATA and AT is the transpose of A.
3inf-norm—||A|| is the largest row sum of the Input Matrix.
norm is a scalar that gives some measure of the magnitude of the elements in the matrix. Let A represent the Input Matrix, the norm of A is represented by ||A||p, where p can be 1, 2, F, or infinity, indicating different types of norms that are computed.
error returns any error or warning from the VI. You can wire error to the Error Cluster From Error Code VI to convert the error code or warning into an error cluster.

Example

Refer to the Linear Algebra Calculator VI in the labview\examples\analysis\linaxmpl.llb directory for an example of using the Matrix Norm VI.

 


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