Matrix inverse eigenvalue problem for periodic Jacobi matrices
Daniel L. Boley, Gene Howard Golub · OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information) · 1978
A stable numerical algorithm is presented for generating a periodic Jacobi matrix from two sets of eigenvalues and the product of the off-diagonal elements of the matrix. The algorithm requires a simple generalization of the Lanczos algorithm. It is shown that the matrix is not unique, but the algorithm will generate all possible solutions. 3 references.