Monotone interval eigenproblem in max–min algebra
Kybernetika, Tome 46 (2010) no. 3, pp. 387-396
Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
The interval eigenproblem in max-min algebra is studied. A classification of interval eigenvectors is introduced and six types of interval eigenvectors are described. Characterization of all six types is given for the case of strictly increasing eigenvectors and Hasse diagram of relations between the types is presented.
Classification :
08A72, 15A18, 15A80, 65G30, 90B35, 90C47
Keywords: (max, min) eigenvector; interval coefficients
Keywords: (max, min) eigenvector; interval coefficients
@article{KYB_2010__46_3_a3,
author = {Gavalec, Martin and Plavka, J\'an},
title = {Monotone interval eigenproblem in max{\textendash}min algebra},
journal = {Kybernetika},
pages = {387--396},
publisher = {mathdoc},
volume = {46},
number = {3},
year = {2010},
mrnumber = {2676076},
zbl = {1202.15013},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KYB_2010__46_3_a3/}
}
Gavalec, Martin; Plavka, Ján. Monotone interval eigenproblem in max–min algebra. Kybernetika, Tome 46 (2010) no. 3, pp. 387-396. http://geodesic.mathdoc.fr/item/KYB_2010__46_3_a3/