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Convergence of LR algorithm for a one-point spectrum tridiagonal matrix

Published Web Location

https://doi.org/10.1007/s00211-009-0238-2
Abstract

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.

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