Perturbation theory for the LU and QR factorizations
Huang, Ting-Zhu
ANZIAM Journal, Tome 48 (2008), / Harvested from Australian Mathematical Society
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In this paper we derive perturbation theorems for the LU and QR factors. Moreover, bounds for $\kappa_L(A)/\kappa_L'(A)$ and $\kappa_U(A)/\kappa'_U(A)$ are given for the LU factorization of a nonsingular matrix. Applying to pivoting strategies in the LU factorization, $\kappa_L(PAQ)/\kappa_L'(PAQ)$ and $\kappa_U(PAQ)/\kappa'_U(PAQ)$ are also obtained. doi:10.1017/S1446181108000138

Publié le : 2008-01-01
DOI : https://doi.org/10.21914/anziamj.v49i0.1146 
@article{1146,
     title = {Perturbation theory for the LU and QR factorizations},
     journal = {ANZIAM Journal},
     volume = {48},
     year = {2008},
     doi = {10.21914/anziamj.v49i0.1146},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/1146}
}

Huang, Ting-Zhu. Perturbation theory for the LU and QR factorizations. ANZIAM Journal, Tome 48 (2008) . doi : 10.21914/anziamj.v49i0.1146. http://gdmltest.u-ga.fr/item/1146/