frobenius

DCM.frobenius

Frobenius norm of the DCM.

The Frobenius norm of a matrix \(\mathbf{A}\) is defined as:

\[\|\mathbf{A}\|_F = \sqrt{\sum_{i=1}^m\sum_{j=1}^n|a_{ij}|^2}\]

Returns:

Frobenius norm of the DCM.

Return type:

float

Examples

>>> R = DCM(rpy=[10.0, -20.0, 30.0])
>>> R.view()
DCM([[ 0.92541658, -0.31879578, -0.20487413],
     [ 0.16317591,  0.82317294, -0.54383814],
     [ 0.34202014,  0.46984631,  0.81379768]])
>>> R.frobenius
1.7320508075688774