- Accueil de LUCK
- Parcourir par auteur
Parcourir par auteur "Van Dooren, Paul"
Voici les éléments 1-3 de 3
-
An affine eigenvalue problem on the nonnegative orthant
2005, Blondel, Vincent; Ninove, Laure; Van Dooren, Paul, HE Léonard de VinciArticle scientifiqueIn this paper, we consider the conditional affine eigenvalue problem where A is an n × n nonnegative matrix, b a nonnegative vector, and ∥·∥ a monotone vector norm. Under suitable hypotheses, we prove the existence and uniqueness of the solution (λ∗, x∗) and give its expression as the Perron root and vector of a matrix , where c∗ has a maximizing property depending on the considered norm. The equation ... -
Affine iterations on nonnegative vectors
Article scientifique -
Maximizing PageRank via outlinks
Article scientifiqueWe analyze linkage strategies for a set of webpages for which the webmaster wants to maximize the sum of Google’s PageRank scores. The webmaster can only choose the hyperlinks starting from the webpages of and has no control on the hyperlinks from other webpages. We provide an optimal linkage strategy under some reasonable assumptions.