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. |
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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