mario.calc_m_from_z#

\[m = v (I - z)^{-1}\]
mario.calc_m_from_z(v, z, *, method: str | None = None, solver: str | None = None, strategy: str | None = None)#

Calculate the m total (direct+indirect) value added coefficients matrix.

This is the direct path for m. Under method="solve", MARIO solves the transposed system without materializing the w Leontief inverse matrix.

Parameters:
  • v (pandas.DataFrame) – v value added coefficients matrix.

  • z (pandas.DataFrame) – z intersectoral transaction coefficients matrix.

  • method (str, optional) – Optional runtime compute method override. Accepted values are "auto", "inverse" and "solve".

  • solver (str, optional) – Optional linear solver backend used when the solve path is selected.

  • strategy (str, optional) – Optional sparse linear strategy used when the solve path is selected.

Returns:

m total (direct+indirect) value added coefficients matrix.

Return type:

pandas.DataFrame