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    • An affine eigenvalue problem on the nonnegative orthantPeer reviewedClosed access 

      2005, Blondel, Vincent; Ninove, Laure; Van Dooren, Paul, HE Léonard de Vinci
      Article scientifique
      In 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 ...