tively. For the first period, the method uses the provided initial values (<code>init</code>). In subsequent iterations, it relies on the results of the previous iteration for all variables. The process continues until the solution converges within the specified tolerance (<code>tol</code>) or the maximum number of iterations (<code>max_iter</code>) is reached. If any period produces a value of <code>Inf</code>, <code>NaN</code>, or <code>NA</code>, the process is stopped, and an error message is displayed.