A rank-one updating approach for solving systems of linear equations in the least squares sense
Electronic transactions on numerical analysis, Tome 29 (2008)
The solution of the linear system with an -matrix of maximal rank $\sterling $########
###$\copyright \ddot \sterling $###$ "!#\%'\(0) is considered. The method generates a sequence of -matrices and vectors so that the are positive {\S}1 2 3 $£253 semidefinite, the approximate the pseudoinverse of and approximate the least squares solution of .
| ${\S}$ |
Classification :
65F10, 65F20
Keywords: linear least squares problems, iterative methods, variable metric updates, pseudo-inverse
Keywords: linear least squares problems, iterative methods, variable metric updates, pseudo-inverse
@article{ETNA_2008__29__a7,
author = {Mohsen, A. and Stoer, J.},
title = {A rank-one updating approach for solving systems of linear equations in the least squares sense},
journal = {Electronic transactions on numerical analysis},
year = {2008},
volume = {29},
zbl = {1171.65384},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ETNA_2008__29__a7/}
}
TY - JOUR AU - Mohsen, A. AU - Stoer, J. TI - A rank-one updating approach for solving systems of linear equations in the least squares sense JO - Electronic transactions on numerical analysis PY - 2008 VL - 29 UR - http://geodesic.mathdoc.fr/item/ETNA_2008__29__a7/ LA - en ID - ETNA_2008__29__a7 ER -
Mohsen, A.; Stoer, J. A rank-one updating approach for solving systems of linear equations in the least squares sense. Electronic transactions on numerical analysis, Tome 29 (2008). http://geodesic.mathdoc.fr/item/ETNA_2008__29__a7/