| Title:
|
Note on a splitting approach to ill-conditioned least squares problems (English) |
| Author:
|
Plemmons, Robert J. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
25 |
| Issue:
|
4 |
| Year:
|
1975 |
| Pages:
|
531-535 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| MSC:
|
65F20 |
| idZBL:
|
Zbl 0331.15005 |
| idMR:
|
MR0388752 |
| DOI:
|
10.21136/CMJ.1975.101349 |
| . |
| Date available:
|
2008-06-09T14:14:44Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101349 |
| . |
| Reference:
|
[1] A. Berman, R. J. Plemmons: Cones and iterative methods for best least squares solutions to linear systems.SïAM J. on Numer. Anal. 11 (1974), 145-154. MR 0348984, 10.1137/0711015 |
| Reference:
|
[2] A. Björck: Solving linear least squares problems by Gram-Schmidt Orthogonalization.BIT, 7 (1967), 1-21. MR 0214275, 10.1007/BF01934122 |
| Reference:
|
[3] P. Businger, G. Golub: Linear least squares solutions by Householder transformations.Numer. Math., 7 (1965), 269-276. Zbl 0142.11503, MR 0176590, 10.1007/BF01436084 |
| Reference:
|
[4] A. K. Cline: An elimination method for the solution of linear least squares problems.SIAM J. Numer. Anal., 10 (1973), 283-289. Zbl 0253.65023, MR 0359294, 10.1137/0710027 |
| Reference:
|
[5] G. Golub: Numerical methods for solving least squares problems.Numer. Math., 7 (1965), 206-216. MR 0181094, 10.1007/BF01436075 |
| Reference:
|
[6] G. Golub, J. H. Wilkinson: Note on the iterative refinement of least squares solutions.Numer. Math., 9 (1966), 139-148. MR 0212984, 10.1007/BF02166032 |
| Reference:
|
[7] R. J. Hanson, C. L. Lawson: Extensions and applications of the Householder algorithm for solving linear least squares problems.Math. Соmp., 23 (1969), 787-812. Zbl 0185.40701, MR 0258258 |
| Reference:
|
[8] P. Läuchli: Jordon-Elimination und Ausgleichung nach kleinsten Quadraten.Numer. Math., 3 (1961), 226-240. MR 0135225, 10.1007/BF01386022 |
| Reference:
|
[9] G. Peters, J. H. Wilkinson: The least squares problem and pseudoinverses.Computing J., 13 (1970), 309-316. Zbl 0195.44804, 10.1093/comjnl/13.3.309 |
| Reference:
|
[10] R. J. Plemmons: Monotonicity and iterative approximations involving rectangular matrices.Math. Соmp., 26 (1972), 853-858. Zbl 0263.65046, MR 0315882 |
| Reference:
|
[11] J. H. Wilkinson, C. Reinsch,: Linear Algebra.Springer-Verlag, New York, 1971. Zbl 0219.65001, MR 0461856 |
| . |
