Convergence of LR algorithm for a one-point spectrum tridiagonal matrix
Carla Ferreira, Beresford Ν. Parlett · Numerische Mathematik · 2009
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.