-
1
-
-
0001221932
-
A taxonomy for conjugate gradient methods
-
S. F. Ashby, T. A. Manteuffel, and P. E. Saylor, A taxonomy for conjugate gradient methods, SIAM J. Numer. Anal., 27 (1990), pp. 1542-1568.
-
(1990)
SIAM J. Numer. Anal.
, vol.27
, pp. 1542-1568
-
-
Ashby, S.F.1
Manteuffel, T.A.2
Saylor, P.E.3
-
2
-
-
0002864202
-
A theoretical comparison of the Arnoldi and GMRES algorithms
-
P. N. Brown, A theoretical comparison of the Arnoldi and GMRES algorithms, SIAM J. Sci. Statist. Comput., 12 (1991), pp. 58-78.
-
(1991)
SIAM J. Sci. Statist. Comput.
, vol.12
, pp. 58-78
-
-
Brown, P.N.1
-
4
-
-
0008399760
-
Peaks, plateaus, numerical instabilities in a Galerkin/minimal residual pair of methods for solving Ax = b
-
J. Cullum, Peaks, plateaus, numerical instabilities in a Galerkin/minimal residual pair of methods for solving Ax = b, Appl. Numer. Math., 19 (1995), pp. 255-278.
-
(1995)
Appl. Numer. Math.
, vol.19
, pp. 255-278
-
-
Cullum, J.1
-
5
-
-
0030542825
-
Relations between Galerkin and norm-minimizing iterative methods for solving linear systems
-
J. Cullum and A. Greenbaum, Relations between Galerkin and norm-minimizing iterative methods for solving linear systems, SIAM J. Matrix Anal. Appl., 17 (1996), pp. 223-247.
-
(1996)
SIAM J. Matrix Anal. Appl.
, vol.17
, pp. 223-247
-
-
Cullum, J.1
Greenbaum, A.2
-
6
-
-
0002308279
-
Conjugate gradient methods for indefinite systems
-
Numerical Analysis, Proceedings of the Dundee Conference on Numerical Analysis 1975, G. A. Watson, ed., Springer, Berlin
-
R. Fletcher, Conjugate gradient methods for indefinite systems, in Numerical Analysis, Proceedings of the Dundee Conference on Numerical Analysis 1975, G. A. Watson, ed., Vol. 506 of Lecture Notes in Mathematics, Springer, Berlin, 1976, pp. 73-89.
-
(1976)
Lecture Notes in Mathematics
, vol.506
, pp. 73-89
-
-
Fletcher, R.1
-
7
-
-
0001378925
-
An implementation of the look-ahead Lanczos algorithm for non-Hermitian matrices
-
R. W. Freund, M. H. Gutknecht, and N. M. Nachtigal, An implementation of the look-ahead Lanczos algorithm for non-Hermitian matrices, SIAM J. Sci. Comput., 14 (1993), pp. 137-158.
-
(1993)
SIAM J. Sci. Comput.
, vol.14
, pp. 137-158
-
-
Freund, R.W.1
Gutknecht, M.H.2
Nachtigal, N.M.3
-
8
-
-
25444452938
-
QMR: A quasi-minimal residual method for non-Hermitian linear systems
-
R. W. Freund and N. M. Nachtigal, QMR: A quasi-minimal residual method for non-Hermitian linear systems, Numer. Math., 60 (1991), pp. 315-339.
-
(1991)
Numer. Math.
, vol.60
, pp. 315-339
-
-
Freund, R.W.1
Nachtigal, N.M.2
-
9
-
-
0001942146
-
Implementation details of the coupled QMR algorithm
-
L. Reichel, A. Ruttan, and R. S. Varga, eds., W. de Gruyter
-
R. W. Freund and N. M. Nachtigal, Implementation details of the coupled QMR algorithm, in Numerical Linear Algebra, L. Reichel, A. Ruttan, and R. S. Varga, eds., W. de Gruyter, 1993, pp. 123-140.
-
(1993)
Numerical Linear Algebra
, pp. 123-140
-
-
Freund, R.W.1
Nachtigal, N.M.2
-
10
-
-
9444233836
-
An implementation of the QMR method based on coupled two-term recurrences
-
M. S. Moonen, G. H. Golub, and B. L. R. de Moor, eds., Kluwer Academic Publishers, Dordrecht
-
R. W. Freund and N. M. Nachtigal, An implementation of the QMR method based on coupled two-term recurrences, in Linear Algebra for Large Scale and Real-Time Applications, M. S. Moonen, G. H. Golub, and B. L. R. de Moor, eds., Kluwer Academic Publishers, Dordrecht, 1993, pp. 381-384.
-
(1993)
Linear Algebra for Large Scale and Real-Time Applications
, pp. 381-384
-
-
Freund, R.W.1
Nachtigal, N.M.2
-
11
-
-
0000806356
-
An implementation of the QMR method based on coupled two-term recurrences
-
R. W. Freund and N. M. Nachtigal, An implementation of the QMR method based on coupled two-term recurrences, SIAM J. Sci. Comput., 15 (1994), pp. 313-337.
-
(1994)
SIAM J. Sci. Comput.
, vol.15
, pp. 313-337
-
-
Freund, R.W.1
Nachtigal, N.M.2
-
12
-
-
0031495031
-
Estimating the attainable accuracy of recursively computed residual methods
-
A. Greenbaum, Estimating the attainable accuracy of recursively computed residual methods, SIAM J. Matrix Anal. Appl., 18 (1997), pp. 535-551.
-
(1997)
SIAM J. Matrix Anal. Appl.
, vol.18
, pp. 535-551
-
-
Greenbaum, A.1
-
13
-
-
0003219224
-
The unsymmetric Lanczos algorithms and their relations to Padé approximation, continued fractions, and the qd algorithm
-
April and CopperMtn90-7.ps.gz
-
M. H. Gutknecht, The unsymmetric Lanczos algorithms and their relations to Padé approximation, continued fractions, and the qd algorithm, in Preliminary Proceedings of the Copper Mountain Conference on Iterative Methods, April 1990. http://wwa.sam.math.ethz.ch/~mhg/pub/CopperMtn90.ps.gz and CopperMtn90-7.ps.gz.
-
(1990)
Preliminary Proceedings of the Copper Mountain Conference on Iterative Methods
-
-
Gutknecht, M.H.1
-
14
-
-
0027540732
-
Changing the norm in conjugate gradient type algorithms
-
M. H. Gutknecht, Changing the norm in conjugate gradient type algorithms, SIAM J. Numer. Anal., 30 (1993), pp. 40-56.
-
(1993)
SIAM J. Numer. Anal.
, vol.30
, pp. 40-56
-
-
Gutknecht, M.H.1
-
15
-
-
85011492167
-
Lanczos-type solvers for nonsymmetric linear systems of equations
-
M. H. Gutknecht, Lanczos-type solvers for nonsymmetric linear systems of equations, Acta Numerica, 6 (1997), pp. 271-397.
-
(1997)
Acta Numerica
, vol.6
, pp. 271-397
-
-
Gutknecht, M.H.1
-
16
-
-
9444258023
-
Residual smoothing techniques: Do they improve the limiting accuracy of iterative solvers?
-
Research Rep. 99-22, ETH Zurich, October
-
M. H. Gutknecht and M. Rozložník, Residual smoothing techniques: do they improve the limiting accuracy of iterative solvers?, Research Rep. 99-22, Seminar for Applied Mathematics, ETH Zurich, October 1999.
-
(1999)
Seminar for Applied Mathematics
-
-
Gutknecht, M.H.1
Rozložník, M.2
-
17
-
-
9444252231
-
By how much can residual minimization accelerate the convergence of orthogonal residual methods?
-
Research Rep. 2000-09, ETH Zurich, July
-
M. H. Gutknecht and M. Rozložník, By how much can residual minimization accelerate the convergence of orthogonal residual methods?, in Research Rep. 2000-09, Seminar for Applied Mathematics, ETH Zurich, July 2000.
-
(2000)
Seminar for Applied Mathematics
-
-
Gutknecht, M.H.1
Rozložník, M.2
-
18
-
-
0034353664
-
Accuracy of two three-term and three two-term recurrences for Krylov space solvers
-
to appear
-
M. H. Gutknecht and Z. Strakoš, Accuracy of two three-term and three two-term recurrences for Krylov space solvers, SIAM J. Matrix Anal. Appl., to appear.
-
SIAM J. Matrix Anal. Appl.
-
-
Gutknecht, M.H.1
Strakoš, Z.2
-
19
-
-
0000135303
-
Methods of conjugate gradients for solving linear systems
-
M. R. Hestenes and E. Stiefel, Methods of conjugate gradients for solving linear systems, J. Res. Nat. Bureau Standards, 49 (1952), pp. 409-435.
-
(1952)
J. Res. Nat. Bureau Standards
, vol.49
, pp. 409-435
-
-
Hestenes, M.R.1
Stiefel, E.2
-
20
-
-
0000059778
-
On the simplification of generalized conjugate-gradient methods for nonsymmetrizable linear systems
-
K. C. Jea and D. M. Young, On the simplification of generalized conjugate-gradient methods for nonsymmetrizable linear systems, Linear Algebra Appl., 52 (1983), pp. 399-417.
-
(1983)
Linear Algebra Appl.
, vol.52
, pp. 399-417
-
-
Jea, K.C.1
Young, D.M.2
-
21
-
-
0002814189
-
Solution of systems of linear equations by minimized iterations
-
C. Lanczos, Solution of systems of linear equations by minimized iterations, J. Res. Nat. Bureau Standards, 49 (1952), pp. 33-53.
-
(1952)
J. Res. Nat. Bureau Standards
, vol.49
, pp. 33-53
-
-
Lanczos, C.1
-
23
-
-
0016555955
-
Solution of sparse indefinite systems of linear equations
-
C. C. Paige and M. A. Saunders, Solution of sparse indefinite systems of linear equations, SIAM J. Numer. Anal., 12 (1975), pp. 617-629.
-
(1975)
SIAM J. Numer. Anal.
, vol.12
, pp. 617-629
-
-
Paige, C.C.1
Saunders, M.A.2
-
25
-
-
0029732659
-
Reliable updated residuals in hybrid Bi-CG methods
-
G. L. G. Sleijpen and H. A. van der Vorst, Reliable updated residuals in hybrid Bi-CG methods, Computing, 56 (1996), pp. 141-163.
-
(1996)
Computing
, vol.56
, pp. 141-163
-
-
Sleijpen, G.L.G.1
Van Der Vorst, H.A.2
-
26
-
-
0002777912
-
BiCGstab(l) and other hybrid Bi-CG methods
-
G. L. G. Sleijpen, H. A. van der Vorst, and D. R. Fokkema, BiCGstab(l) and other hybrid Bi-CG methods, Numerical Algorithms, 7 (1994), pp. 75-109.
-
(1994)
Numerical Algorithms
, vol.7
, pp. 75-109
-
-
Sleijpen, G.L.G.1
Van Der Vorst, H.A.2
Fokkema, D.R.3
-
27
-
-
0035219272
-
Differences in the effects of rounding errors in Krylov solvers for symmetric indefinite linear systems
-
to appear
-
G. L. G. Sleijpen, H. A. van der Vorst, and J. Modersitzki, Differences in the effects of rounding errors in Krylov solvers for symmetric indefinite linear systems, to appear in SIAM J. Matrix Anal. Appl..
-
SIAM J. Matrix Anal. Appl..
-
-
Sleijpen, G.L.G.1
Van Der Vorst, H.A.2
Modersitzki, J.3
-
28
-
-
51249194447
-
Relaxationsmethoden bester Strategie zur Lösung linearer Gleichungssysteme
-
E. Stiefel, Relaxationsmethoden bester Strategie zur Lösung linearer Gleichungssysteme, Comm. Math. Helv., 29 (1955), pp. 157-179.
-
(1955)
Comm. Math. Helv.
, vol.29
, pp. 157-179
-
-
Stiefel, E.1
-
30
-
-
0008375753
-
Residual smoothing and peak/plateau behavior in Krylov subspace methods
-
H. F. Walker, Residual smoothing and peak/plateau behavior in Krylov subspace methods, Appl. Numer. Math., 19 (1995), pp. 279-286.
-
(1995)
Appl. Numer. Math.
, vol.19
, pp. 279-286
-
-
Walker, H.F.1
-
32
-
-
84985321074
-
Properties of generalized conjugate gradient methods
-
R. Weiss, Properties of generalized conjugate gradient methods, J. Numer. Linear Algebra Appl., 1 (1994), pp. 45-63.
-
(1994)
J. Numer. Linear Algebra Appl.
, vol.1
, pp. 45-63
-
-
Weiss, R.1
-
33
-
-
0000848766
-
Residual smoothing techniques for iterative methods
-
L. Zhou and H. F. Walker, Residual smoothing techniques for iterative methods, SIAM J. Sci. Comput., 15 (1994), pp. 297-312.
-
(1994)
SIAM J. Sci. Comput.
, vol.15
, pp. 297-312
-
-
Zhou, L.1
Walker, H.F.2
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