Inverse Eigenvalue Problem for Generalized Periodic Jacobi Matrices With Linear Relation

摘要

This paper presents the following inverse eigenvalue problem for generalized periodic Jacobi matrices: Given two unequal real numbers and nonzero vectors. Find n steps real generalized Jacobi matrices J, which is satisfied the conditions that the numbers and the nonzero vectors are the characteristic pairs of J. The algorithm and the theorem of the solution of the problem are given, and some numerical examples are provided.