-
1
-
-
0002918288
-
Stopping criteria for iterative solvers
-
M. Arioli, I. Duff, and D. Ruiz, Stopping criteria for iterative solvers, SIAM J.Matrix Anal. Appl., 13 (1992), pp. 138-144.
-
(1992)
SIAM J.Matrix Anal. Appl.
, vol.13
, pp. 138-144
-
-
Arioli, M.1
Duff, I.2
Ruiz, D.3
-
2
-
-
0003220190
-
Numerical methods for least squares problems
-
Philadelphia
-
Å. Björck, Numerical Methods for Least Squares Problems, SIAM, Philadelphia, 1996.
-
(1996)
SIAM
-
-
Björck, Å.1
-
4
-
-
0000149962
-
Backward error bounds for constrained least squares problems
-
A. J. Cox and N. J. Higham, Backward error bounds for constrained least squares problems, BIT, 39 (1999), pp. 210-227.
-
(1999)
BIT
, vol.39
, pp. 210-227
-
-
Cox, A.J.1
Higham, N.J.2
-
5
-
-
0027287116
-
The data least squares problem and channel equalization
-
R. D. DeGroat and E. M. Dowling, The data least squares problem and channel equalization, IEEE Trans. Signal Process., 42 (1993), pp. 407-411.
-
(1993)
IEEE Trans. Signal Process.
, vol.42
, pp. 407-411
-
-
Degroat, R.D.1
Dowling, E.M.2
-
6
-
-
0003093333
-
Matrices, moment and quadrature
-
D. F. Griffiths and G. A.Watson, eds.
-
G. H. Golub and G. Meurant, Matrices, moment and quadrature, in Proceedings of the 15th Dundee Conference, 1993, Longman Scientific & Technical, D. F. Griffiths and G. A.Watson, eds., 1994, pp. 105-156.
-
Proceedings of the 15th Dundee Conference, 1993, Longman Scientific & Technical
, Issue.1994
, pp. 105-156
-
-
Golub, G.H.1
Meurant, G.2
-
7
-
-
0000333571
-
An analysis of the total least squares problem
-
G. H. Golub and C. F. Van Loan, An analysis of the total least squares problem, SIAM J. Numer. Anal., 17 (1980), pp. 883-893.
-
(1980)
SIAM J. Numer. Anal.
, vol.17
, pp. 883-893
-
-
Golub, G.H.1
Van Loan, C.F.2
-
8
-
-
0004236492
-
-
3rd ed., The Johns Hopkins University Press, Baltimore MD
-
G. H. Golub and C. F. Van Loan, Matrix Computations, 3rd ed., The Johns Hopkins University Press, Baltimore MD, 1996.
-
(1996)
Matrix Computations
-
-
Golub, G.H.1
Van Loan, C.F.2
-
9
-
-
34948906296
-
Optimal sensitivity analysis of linear least squares
-
Lawrence Berkeley National Laboratory, Berkeley, CA
-
J. F. Grcar, Optimal Sensitivity Analysis of Linear Least Squares, Technical report LBNL- 52434, Lawrence Berkeley National Laboratory, Berkeley, CA, 2003.
-
(2003)
Technical Report LBNL- 52434
-
-
Grcar, J.F.1
-
10
-
-
70449436240
-
The optimum inverse problem of numerical error analysis
-
Champion, PA
-
J. F. Grcar, The optimum inverse problem of numerical error analysis, Householder Symposium XVI, Champion, PA, 2005.
-
(2005)
Householder Symposium XVI
-
-
Grcar, J.F.1
-
12
-
-
0032622963
-
Backward perturbation bounds for linear least squares problems
-
M. Gu, Backward perturbation bounds for linear least squares problems, SIAM J. Matrix Anal. Appl., 20 (1998), pp. 363-372.
-
(1998)
SIAM J. Matrix Anal. Appl.
, vol.20
, pp. 363-372
-
-
Gu, M.1
-
14
-
-
0000829895
-
Backward error and condition of structured linear systems
-
D. J. Higham and N. J. Higham, Backward error and condition of structured linear systems, SIAM J. Matrix Anal. Appl., 13 (1992), pp. 162-175.
-
(1992)
SIAM J. Matrix Anal. Appl.
, vol.13
, pp. 162-175
-
-
Higham, D.J.1
Higham, N.J.2
-
17
-
-
0012031083
-
Estimation backward perturbation bounds for the linear least squares problem
-
R. Karlson and B. Waldén, Estimation backward perturbation bounds for the linear least squares problem, BIT, 37 (1997), pp. 862-869.
-
(1997)
BIT
, vol.37
, pp. 862-869
-
-
Karlson, R.1
Waldén, B.2
-
18
-
-
0012095129
-
Optimal backward perturbation bounds for the LSS problems
-
A. N. Malyshev, Optimal backward perturbation bounds for the LSS problems, BIT, 41 (2001), pp. 430-432.
-
(2001)
BIT
, vol.41
, pp. 430-432
-
-
Malyshev, A.N.1
-
19
-
-
0041317080
-
Computation of optimal backward perturbation bounds for large sparse linear least squares problems
-
A. N. Malyshev and M. Sadkane, Computation of optimal backward perturbation bounds for large sparse linear least squares problems, BIT, 41 (2002), pp. 739-747.
-
(2002)
BIT
, vol.41
, pp. 739-747
-
-
Malyshev, A.N.1
Sadkane, M.2
-
20
-
-
0039943513
-
LSQR: An algorithm for sparse linear equations and sparse least squares
-
C. C. Paige and M. A. Saunders, LSQR: An algorithm for sparse linear equations and sparse least squares, ACM Trans. Math. Software, 8 (1982), pp. 43-71.
-
(1982)
Acm Software Math.
, vol.8
, pp. 43-71
-
-
Paige, C.C.1
Saunders, M.A.2
-
21
-
-
0036013504
-
Scaled total least squares fundamentals
-
C. C. Paige and Z. Strakoš, Scaled total least squares fundamentals, Numer. Math., 91 (2002), pp. 117-146.
-
(2002)
Numer. Math.
, vol.91
, pp. 117-146
-
-
Paige, C.C.1
Strakoš, Z.2
-
22
-
-
2942694426
-
Unifying least squares, total least squares and data least squares
-
S. van Huffel and P. Lemmerling, eds., Kluwer Academic Publishers, Dordrecht
-
C. C. Paige and Z. Strakoš, Unifying least squares, total least squares and data least squares, in Total Least Squares and Errors-in-Variables Modeling, S. van Huffel and P. Lemmerling, eds., Kluwer Academic Publishers, Dordrecht, 2002, pp. 25-34.
-
(2002)
Total Least Squares and Errors-in-Variables Modeling
, pp. 25-34
-
-
Paige, C.C.1
Strakoš, Z.2
-
23
-
-
0003128308
-
Unified treatment of LS, TLS and truncated SVD methods using a weighted TLS framework
-
S. Van Huffel, ed., SIAM Publications, Philadelphia
-
B. D. Rao, Unified treatment of LS, TLS and truncated SVD methods using a weighted TLS framework, in Recent Advances in Total Least Squares Techniques and Errors-in-Variables Modelling, S. Van Huffel, ed., SIAM Publications, Philadelphia, 1997, pp. 11-20.
-
(1997)
Recent Advances in Total Least Squares Techniques and Errors-in-Variables Modelling
, pp. 11-20
-
-
Rao, B.D.1
-
25
-
-
0000571164
-
On the compatibility of a given solution with the data of a linear system
-
J. L. Rigal and J. Gaches, On the compatibility of a given solution with the data of a linear system, J. ACM, 14 (1967), pp. 543-548.
-
(1967)
J. ACM
, vol.14
, pp. 543-548
-
-
Rigal, J.L.1
Gaches, J.2
-
26
-
-
0000627176
-
On the perturbation of pseudo-inverses, projections, and linear least squares problems
-
G. W. Stewart, On the perturbation of pseudo-inverses, projections, and linear least squares problems, SIAM Rev., 19 (1977), pp. 634-662.
-
(1977)
SIAM Rev.
, vol.19
, pp. 634-662
-
-
Stewart, G.W.1
-
27
-
-
68349138892
-
-
Ph.D. thesis, Stanford University, Palo Alto, CA
-
Z. Su, Computational Methods for Least Squares Problems and Clinical Trials, Ph.D. thesis, Stanford University, Palo Alto, CA, 2005.
-
(2005)
Computational Methods for Least Squares Problems and Clinical Trials
-
-
Su, Z.1
-
28
-
-
0030514053
-
Optimal backward perturbation bounds for the linear least squares problem with multiple right-hand sides
-
J.-G. Sun, Optimal backward perturbation bounds for the linear least squares problem with multiple right-hand sides, IMA J. Numer. Anal., 16 (1996), pp. 1-11.
-
(1996)
IMA J. Numer. Anal.
, vol.16
, pp. 1-11
-
-
Sun, J.-G.1
-
29
-
-
0012096222
-
On optimal backward perturbation bounds for the linear least-squares problem
-
J.-G. Sun, On optimal backward perturbation bounds for the linear least-squares problem, BIT, 37 (1997), pp. 179-188.
-
(1997)
BIT
, vol.37
, pp. 179-188
-
-
Sun, J.-G.1
-
30
-
-
0032217352
-
Bounds for the structured backward errors of Vandermonde systems
-
J.-G. Sun, Bounds for the structured backward errors of Vandermonde systems, SIAMJ.Matrix Anal. Appl., 20 (1998), pp. 45-59.
-
(1998)
SIAMJ.Matrix Anal. Appl.
, vol.20
, pp. 45-59
-
-
Sun, J.-G.1
-
31
-
-
25144465989
-
A note on backward errors for structured linear systems
-
J.-G. Sun, A note on backward errors for structured linear systems, Numer. Linear Algebra Appl., 12 (2005), pp. 585-603.
-
(2005)
Numer. Linear Algebra Appl.
, vol.12
, pp. 585-603
-
-
Sun, J.-G.1
-
32
-
-
0031515616
-
Optimal backward perturbation bounds for underdetermined systems
-
J.-G. Sun and Z. Sun, Optimal backward perturbation bounds for underdetermined systems, SIAM J. Matrix Anal. Appl., 18 (1997), pp. 393-402.
-
(1997)
SIAM J. Matrix Anal. Appl.
, vol.18
, pp. 393-402
-
-
Sun, J.-G.1
Sun, Z.2
-
34
-
-
21344490058
-
Backward error estimates for Toeplitz systems
-
J. M. Varah, Backward error estimates for Toeplitz systems, SIAM J. Matrix Anal. Appl., 15 (1994), pp. 408-417.
-
(1994)
SIAM J. Matrix Anal. Appl.
, vol.15
, pp. 408-417
-
-
Varah, J.M.1
-
35
-
-
84985406595
-
Optimal backward perturbation bounds for the linear least squares problem
-
B. Waldén, R. Karlson and J.-G. Sun, Optimal backward perturbation bounds for the linear least squares problem, Numer. Linear Algebra Appl., 2 (1995), pp. 271-286.
-
(1995)
Numer. Linear Algebra Appl.
, vol.2
, pp. 271-286
-
-
Waldén, B.1
Karlson, R.2
Sun, J.-G.3
-
36
-
-
36349027912
-
On normwise structured backward errors for saddle point systems
-
H. Xiang and Y. Wei, On normwise structured backward errors for saddle point systems, SIAM J. Matrix Anal. Appl., 29 (2007), pp. 838-849
-
(2007)
SIAM J. Matrix Anal. Appl.
, vol.29
, pp. 838-849
-
-
Xiang, H.1
Wei, Y.2
|