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

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  • Giorgio Giorgi

    (University of Pavia)

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.

Suggested Citation

  • Giorgio Giorgi, 2019. "Nonnegative Square Matrices: Irreducibility, Reducibility, Primitivity and Some Economic Applications," DEM Working Papers Series 175, University of Pavia, Department of Economics and Management.
    • Handle: RePEc:pav:demwpp:demwp0175
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    References listed on IDEAS

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