Abstract
The dominant eigenvalue and the corresponding eigenvector (or Perron vector) of a non-linear eigensystem are considered. We discuss the effects upon these, of perturbations and of aggregation of the underlying mapping. The results are applied to study the sensitivity of the outputs in a non-linear input-output model. For that purpose, it is shown that the input-output model can be rewritten as a non-linear eigensystem. It turns out that the Perron vector of this eigensystem includes the solution vector of the input-output model.
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