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An affine eigenvalue problem on the nonnegative orthant
2005,
- HE Léonard de Vinci
,
- Article scientifique
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 ...