An affine eigenvalue problem on the nonnegative orthant
نویسندگان
چکیده
منابع مشابه
An affine eigenvalue problem on the nonnegative orthant
In this paper, we consider the conditional affine eigenvalue problem λx = Ax + b, λ ∈ R, x ≥ 0, ‖x‖ = 1, where A is an n × n nonnegative matrix, b a nonnegative vector, and ‖·‖ a 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 A + bc∗ , where c∗ has a maximizing property depe...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2005
ISSN: 0024-3795
DOI: 10.1016/j.laa.2005.02.036