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Nonnegative Square Matrices: Irreducibility, Reducibility, Primitivity and Some Economic Applications

Giorgio Giorgi ()
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Giorgio Giorgi: University of Pavia

No 175, DEM Working Papers Series from University of Pavia, Department of Economics and Management

Abstract: We give an overview of the various characterizations of irreducibility, reducibility and primitivity for nonnegative square matrices. Some comments are made for the so-called "Gantmacher normal form" and for a turnpike theorem, due to Achmanov (1984). In addition, we discuss a proposal of Manara (1968) for the reducibility of a Sraffa model with joint production.

Keywords: Irreducible and reducible matrices; Gantmacher normal form; turnpike theorem; Sraffa joint production model. (search for similar items in EconPapers)
Pages: 34 pages
Date: 2019-10
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