@article {17722, title = {On the Perturbation of LU, Cholesky, and QR Factorizations}, volume = {UMIACS-TR-92-24}, year = {1998}, month = {1998/10/15/}, institution = {Instititue for Advanced Computer Studies, Univ of Maryland, College Park}, abstract = {To appear in SIMAXIn this paper error bounds are derived for a first order expansion of the LU factorization of a perturbation of the identity. The results are applied to obtain perturbation expansions of the LU, Cholesky, and QR factorizations. (Also cross-referenced as UMIACS-TR-92-24) }, keywords = {Technical Report}, url = {http://drum.lib.umd.edu/handle/1903/565}, author = {Stewart, G.W.} }