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Perron–Frobenius Theorem

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The New Palgrave Dictionary of Economics
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Abstract

A linear transformation mapping (x1,x2, ... , xn) to (y1, y2, ... , yn) by

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Bibliography

  • Debreu, G., and I.N. Herstein. 1953. Nonnegative square matrices. Econometrica 21: 597–607.

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  • Frobenius, G. 1908. Über Matrizen aus positiven Elementen I. Sitzungsberichte der Königlich-Preussischen Akademie der Wissenschaften.

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  • Frobenius, G. 1909. Über Matrizen aus positiven Elementen II. Sitzungsberichte der Königlich-Preussischen Akademie der Wissenschaften.

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  • Frobenius, G. 1912. Über Matrizen aus nichtnegativen Elementen. Sitzungsberichte der Königlich-Preussischen Akademie der Wissenschaften.

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  • Perron, O. 1907. Zur Theorie der Matrizen. Mathematische Annalen 64: 248–263.

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  • Sraffa, P. 1960. Production of commodities by means of commodities. Cambridge: Cambridge University Press.

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Nikaido, H. (2018). Perron–Frobenius Theorem. In: The New Palgrave Dictionary of Economics. Palgrave Macmillan, London. https://doi.org/10.1057/978-1-349-95189-5_1879

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