msmtools.analysis.eigenvector_sensitivity

msmtools.analysis.eigenvector_sensitivity(T, k, j, right=True)

Sensitivity matrix of a selected eigenvector element.

Parameters:

• T ((M, M) ndarray) – Transition matrix (stochastic matrix).
• k (int) – Eigenvector index
• j (int) – Element index
• right (bool) – If True compute for right eigenvector, otherwise compute for left eigenvector.

Returns:

S – Sensitivity matrix for the j-th element of the k-th eigenvector.

Return type:

(M, M) ndarray