Convergence of LR algorithm for a one-point spectrum tridiagonal matrix
- Author(s): Ferreira, Carla
- Parlett, Beresford
- et al.
Published Web Locationhttps://doi.org/10.1007/s00211-009-0238-2
We prove convergence for the basic LR algorithm on a real unreduced tridiagonal matrix with a one-point spectrum—the Jordan form is one big Jordan block. First we develop properties of eigenvector matrices. We also show how to deal with the singular case.