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Note on a splitting approach to ill-conditioned least squares problems
Czechoslovak Mathematical Journal, Tome 25 (1975) no. 4, pp. 531-535
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DOI : 10.21136/CMJ.1975.101349
Classification : 65F20 
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Plemmons, Robert J. Note on a splitting approach to ill-conditioned least squares problems. Czechoslovak Mathematical Journal, Tome 25 (1975) no. 4, pp. 531-535. doi: 10.21136/CMJ.1975.101349

[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. | DOI | MR

[2] A. Björck: Solving linear least squares problems by Gram-Schmidt Orthogonalization. BIT, 7 (1967), 1-21. | DOI | MR

[3] P. Businger, G. Golub: Linear least squares solutions by Householder transformations. Numer. Math., 7 (1965), 269-276. | DOI | MR | Zbl

[4] A. K. Cline: An elimination method for the solution of linear least squares problems. SIAM J. Numer. Anal., 10 (1973), 283-289. | DOI | MR | Zbl

[5] G. Golub: Numerical methods for solving least squares problems. Numer. Math., 7 (1965), 206-216. | DOI | MR

[6] G. Golub, J. H. Wilkinson: Note on the iterative refinement of least squares solutions. Numer. Math., 9 (1966), 139-148. | DOI | MR

[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. | MR | Zbl

[8] P. Läuchli: Jordon-Elimination und Ausgleichung nach kleinsten Quadraten. Numer. Math., 3 (1961), 226-240. | DOI | MR

[9] G. Peters, J. H. Wilkinson: The least squares problem and pseudoinverses. Computing J., 13 (1970), 309-316. | DOI | Zbl

[10] R. J. Plemmons: Monotonicity and iterative approximations involving rectangular matrices. Math. Соmp., 26 (1972), 853-858. | MR | Zbl

[11] J. H. Wilkinson, C. Reinsch,: Linear Algebra. Springer-Verlag, New York, 1971. | MR | Zbl

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