The generalized inverse eigenvalue problem for generalized periodic jacobi matrices

This paper presents the following inverse eigenvalue problem for generalized periodic Jacobi matrices:=given real numbers λ,μ, nonzero vectors x,y∈Rⁿ and a real matrix B. Find n×n real generalized periodic Jacobi matrices J (c_i = kb_i,k > 0,i = 1,...,n) such that Jx = λBx, Jy = μBy. The paper discussed the existence and uniqueness of the question´s solution. And the expression of the solution of the problem is given, and some numerical example is provided.