On the global convergence of the Toda lattice for real normal matrices and its applications to the eigenvalue problem. (English) Zbl 0539.65016
The author continues his study of Toda lattice and the connection with the classical QR-algorithm [SIAM J. Algebraic Discrete Methods 5, 187-201 (1984; reviewed above)]. The author’s results about the asymptotic behaviour of the Toda lattice when acting on real and normal matrices generalizes the well-known asymptotic behaviour of Jacobi matrices and is consistent with that from the QR-algorithm.
Reviewer: H.Ade
MSC:
65F15 | Numerical computation of eigenvalues and eigenvectors of matrices |