property GPCCA.eigendecomposition: Optional[Dict[str, Any]]

Eigendecomposition of transition_matrix.

For non-symmetric real matrices, left and right eigenvectors will in general be different and complex. We compute both left and right eigenvectors.

Return type

Optional[Dict[str, Any]]


A dictionary with the following keys:

  • ’D’ - the eigenvalues.

  • ’eigengap’ - the eigengap.

  • ’params’ - parameters used for the computation.

  • ’V_l’ - left eigenvectors (optional).

  • ’V_r’ - right eigenvectors (optional).

  • ’stationary_dist’ - stationary distribution of transition_matrix, if present.