Sufficient conditions for the solvability of an algebraic inverse eigenvalue problem Original Research Article

Let A, A1, A2, …, An be given n × n Hermitian matrices and λ1, λ2, …, λn be given real numbers. We present new sufficient conditions under which there exist real numbers c1, c2, …, cn such that the matrix A + ∑nt=1 ctAt has eigenvalues λ1, λ2, …, λn.