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