An inverse eigenvalue problem for periodic Jacobi matrices
Yinghong Xu, Er-Xiong Jiang · Inverse Problems · 2006
In this paper, the spectral properties of periodic Jacobi matrices are presented. We study an inverse problem for periodic Jacobi matrices, and obtain a necessary and sufficient condition under which this problem is solvable. Our condition is equivalent to the condition of Xu S F (1998 An Introduction to Inverse Algebraic Eigenvalue Problems (Beijing/Braunschweig: Peking University Press/Vieweg)). A new algorithm for constructing all possible solutions is presented. The number and the relationship of solutions are also discussed.