Determination of equilibrium output by iterative method

In the standard economic scheme, the subordination of the end and the means is established as:

Facility (production)
(reason)

Purpose (consumption, final demand)
(result)

where the means (the end of the lowest level) is independent, and the end (the goal of the higher level) is dependent on variables. In the intersectoral balance, the opposite attitude is taken:

Purpose (consumption, final demand)

Means (production).

From the point of view of mathematics, cross-sectoral analysis can be considered as a special case of solving a system of equations. Let’s try to carry out cross-sectoral analysis using various iterative methods that have a specific economic meaning.