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A Proof of a Gantmacher’s Result on Nonnegative Square Matrices by Means of M-matrices

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  • Giorgio Giorgi

Abstract

We give an elementary proof, by means of a basic characterization of nonsingular M-matrices, of a result of F. R. Gantmacher, concerning nonnegative decomposable square matrices.

Suggested Citation

  • Giorgio Giorgi, 2024. "A Proof of a Gantmacher’s Result on Nonnegative Square Matrices by Means of M-matrices," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 16(1), pages 1-46, December.
    • Handle: RePEc:ibn:jmrjnl:v:16:y:2024:i:1:p:46
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    References listed on IDEAS

    as
    1. Szyld, Daniel B, 1985. "Conditions for the Existence of a Balanced Growth Solution for the Leontief Dynamic Input-Output Model," Econometrica, Econometric Society, vol. 53(6), pages 1411-1419, November.
    2. Giorgio Giorgi, 2022. "Nonsingular M-matrices: a Tour in the Various Characterizations and in Some Related Classes," DEM Working Papers Series 206, University of Pavia, Department of Economics and Management.
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    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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