New light on the theorem of Perron.

Saaty, Thomas L.. "New light on the theorem of Perron.." Trabajos de Estadística e Investigación Operativa 36.3 (1985): 253-257. <http://eudml.org/doc/40730>.

@article{Saaty1985,
abstract = {We prove that the principal eigenvector of a positive matrix represents the relative dominance of its rows or ranking of alternatives in a decision represented by the rows of a pairwise comparison matrix.},
author = {Saaty, Thomas L.},
journal = {Trabajos de Estadística e Investigación Operativa},
keywords = {Matrices; Autovalores; Vectores; Teoría de la dominación; consistency; rank preservation; principal eigenvector; positive matrix; dominance; ranking of alternatives; decision; pairwise comparison matrix},
language = {eng},
number = {3},
pages = {253-257},
title = {New light on the theorem of Perron.},
url = {http://eudml.org/doc/40730},
volume = {36},
year = {1985},
}

TY - JOUR
AU - Saaty, Thomas L.
TI - New light on the theorem of Perron.
JO - Trabajos de Estadística e Investigación Operativa
PY - 1985
VL - 36
IS - 3
SP - 253
EP - 257
AB - We prove that the principal eigenvector of a positive matrix represents the relative dominance of its rows or ranking of alternatives in a decision represented by the rows of a pairwise comparison matrix.
LA - eng
KW - Matrices; Autovalores; Vectores; Teoría de la dominación; consistency; rank preservation; principal eigenvector; positive matrix; dominance; ranking of alternatives; decision; pairwise comparison matrix
UR - http://eudml.org/doc/40730
ER -