Abstract.
In this paper, we consider shifted tridiagonal matrices. We prove that the standard algorithm to compute the LU factorization in this situation is mixed forward-backward stable and, therefore, componentwise forward stable. Moreover, we give a formula to compute the corresponding condition number in O(n) flops.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Author information
Authors and Affiliations
Corresponding author
Additional information
This research has been partially supported by Dirección General de Investigación (Ministerio de Ciencia y Tecnología) of Spain through grants BFM2003-06335-C03-02 and MTM2006-06671 as well as by the Postdoctoral Fellowship EX2004-0658 provided by Ministerio de Educación y Ciencia of Spain.
Rights and permissions
About this article
Cite this article
Brittin, C., Bueno, M.I. Numerical Properties of Shifted Tridiagonal LU Factorizations. MedJM 4, 277–290 (2007). https://doi.org/10.1007/s00009-007-0118-x
Received:
Revised:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/s00009-007-0118-x