A geometric proof of the Perron-Frobenius theorem.
Borobia, Alberto ; Trías, Ujué R.
Revista Matemática de la Universidad Complutense de Madrid, Tome 5 (1992), p. 57-63 / Harvested from Biblioteca Digital de Matemáticas
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We obtain an elementary geometrical proof of the classical Perron-Frobenius theorem for non-negative matrices A by using the Brouwer fixed-point theorem and by studying the dynamics of the action of A on convenient subsets of Rn.

Publié le : 1992-01-01
DMLE-ID : 780 
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     title = {A geometric proof of the Perron-Frobenius theorem.},
     journal = {Revista Matem\'atica de la Universidad Complutense de Madrid},
     volume = {5},
     year = {1992},
     pages = {57-63},
     zbl = {0784.15009},
     mrnumber = {MR1183426},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44308}
}

Borobia, Alberto; Trías, Ujué R. A geometric proof of the Perron-Frobenius theorem.. Revista Matemática de la Universidad Complutense de Madrid, Tome 5 (1992) pp. 57-63. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44308/