Geodesic
LDU decompositions with \(L\) and \(U\) well conditioned
Electronic transactions on numerical analysis, Tome 18 (2004), pp. 198-208
We present, for some classes of matrices, -decompositions whose unit triangular factors $\textcent $###$\sterling $########$ \textcent $and are simultaneously very well conditioned. Our examples include diagonally dominant matrices by rows and

$###$

columns and their inverses, Stieljes matrices and -matrices diagonally dominant by rows or columns. We also § show a construction of an accurate computation of the -decomposition for any -matrix diagonally dominant $\textcent \ddot \sterling $########

$ {\S} by rows or columns, which in turn can be applied to obtain an accurate singular value decomposition.$

Classification : 65F05, 65F35, 15A12
Keywords: conditioning, diagonal dominance, pivoting strategies, accuracy, singular value decomposition 
@article{ETNA_2004__18__a0,
     author = {Pe\~na,  J.M.},
     title = {LDU decompositions with {\(L\)} and {\(U\)} well conditioned},
     journal = {Electronic transactions on numerical analysis},
     pages = {198--208},
     year = {2004},
     volume = {18},
     zbl = {1083.65033},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2004__18__a0/}
}
TY  - JOUR
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TI  - LDU decompositions with \(L\) and \(U\) well conditioned
JO  - Electronic transactions on numerical analysis
PY  - 2004
SP  - 198
EP  - 208
VL  - 18
UR  - http://geodesic.mathdoc.fr/item/ETNA_2004__18__a0/
LA  - en
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ER  - 
%0 Journal Article
%A Peña,  J.M.
%T LDU decompositions with \(L\) and \(U\) well conditioned
%J Electronic transactions on numerical analysis
%D 2004
%P 198-208
%V 18
%U http://geodesic.mathdoc.fr/item/ETNA_2004__18__a0/
%G en
%F ETNA_2004__18__a0
Peña,  J.M. LDU decompositions with \(L\) and \(U\) well conditioned. Electronic transactions on numerical analysis, Tome 18 (2004), pp. 198-208. http://geodesic.mathdoc.fr/item/ETNA_2004__18__a0/