function schatten_norm

deeptime.numeric.schatten_norm(mat: ndarray, order: float = 1, hermitian: bool = False) → float

Computes the r-Schatten norm

$$\| T \|_r = \left( \sum_i \sigma_i^p (T) \right)^{1/r},$$

where $\sigma_i$ are the singular values corresponding to matrix $T$.

Parameters:

• mat (ndarray) – input matrix

• order (float) – Order of the Schatten norm, must be $\geq 1$.

• hermitian (bool, optional, default=False) – If True, the matrix is assumed to be Hermitian, which allows the norm to be computed more efficiently.

Returns:

norm – The norm.

Return type:

float