The inverse eigenvalue problem for nonnegative matrices Original Research Article

Let A be a nonnegative matrix with spectrum (λ1,λ2,…,λm) and B be a nonnegative matrix with spectrum (μ1,μ2,…,μn), where μ1 is the Perron eigenvalue of B. Furthermore, let a maximal diagonal element of A be greater than or equal to μ1. In the article we construct a nonnegative matrix C with spectrum (λ1,λ2,…,λm,μ2,…,μn). This construction enables us to obtain several results on how to determine new realizable lists from known realizable lists.