frobenius_normΒΆ
Frobenius norm. Also known as Schatten 2-norm or Hilbert-Schmidt norm.
\[||\mathbf{A}||_F = \sqrt{\mathrm{trace}(\mathbf{A^*A})}\]
| param a: | Complex matrix. |
|---|---|
| type a: | np.ndarray |
| returns: | Frobenius norm of the matrix a. |
| rtype: | float |
References
Antoulas, A. Approximation to Large Scale Dynamical Systems. SIAM 2005. Ch 3, Eq 3.5