A geometric proof of the Perron-Frobenius theorem.

Borobia, Alberto, and Trías, Ujué R.. "A geometric proof of the Perron-Frobenius theorem.." Revista Matemática de la Universidad Complutense de Madrid 5.1 (1992): 57-63. <http://eudml.org/doc/44308>.

@article{Borobia1992,
abstract = {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.},
author = {Borobia, Alberto, Trías, Ujué R.},
journal = {Revista Matemática de la Universidad Complutense de Madrid},
keywords = {Dinámica topológica; Teoría de matrices; positive eigenvector; maximal eigenvalue; Perron-Frobenius theorem; Brouwer fixed-point theorem},
language = {eng},
number = {1},
pages = {57-63},
title = {A geometric proof of the Perron-Frobenius theorem.},
url = {http://eudml.org/doc/44308},
volume = {5},
year = {1992},
}

TY - JOUR
AU - Borobia, Alberto
AU - Trías, Ujué R.
TI - A geometric proof of the Perron-Frobenius theorem.
JO - Revista Matemática de la Universidad Complutense de Madrid
PY - 1992
VL - 5
IS - 1
SP - 57
EP - 63
AB - 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.
LA - eng
KW - Dinámica topológica; Teoría de matrices; positive eigenvector; maximal eigenvalue; Perron-Frobenius theorem; Brouwer fixed-point theorem
UR - http://eudml.org/doc/44308
ER -