-
1
-
-
0000779223
-
Algebraic multilevel preconditioning methods. I
-
O. Axelsson and P. S. Vassilevski, Algebraic multilevel preconditioning methods. I, Numer. Math., 56 (1989), pp. 157-177.
-
(1989)
Numer. Math.
, vol.56
, pp. 157-177
-
-
Axelsson, O.1
Vassilevski, P.S.2
-
2
-
-
0001573921
-
Algebraic multilevel preconditioning methods, II
-
O. Axelsson and P. S. Vassilevski, Algebraic multilevel preconditioning methods, II, SIAM J. Numer. Anal., 27 (1990), pp. 1569-1590.
-
(1990)
SIAM J. Numer. Anal.
, vol.27
, pp. 1569-1590
-
-
Axelsson, O.1
Vassilevski, P.S.2
-
3
-
-
0040844602
-
Asymptotic work estimates for AMLI methods
-
O. Axelsson and P. S. Vassilevski, Asymptotic work estimates for AMLI methods, Appl. Numer. Math., 7 (1991), pp. 437-451.
-
(1991)
Appl. Numer. Math.
, vol.7
, pp. 437-451
-
-
Axelsson, O.1
Vassilevski, P.S.2
-
4
-
-
0001116752
-
A black box generalized conjugate gradient solver with inner iterations and variable-step preconditioning
-
O. Axelsson and P. S. Vassilevski, A black box generalized conjugate gradient solver with inner iterations and variable-step preconditioning, SIAM J. Matrix Anal. Appl., 12 (1991), pp. 625-644.
-
(1991)
SIAM J. Matrix Anal. Appl.
, vol.12
, pp. 625-644
-
-
Axelsson, O.1
Vassilevski, P.S.2
-
5
-
-
84985330885
-
Variable-step multilevel preconditioning methods I. Selfadjoint and positive definite elliptic problems
-
O. Axelsson and P. S. Vassilevski, Variable-step multilevel preconditioning methods I. Selfadjoint and positive definite elliptic problems, Numer. Linear Algebra Appl., 1 (1994), pp. 75-101.
-
(1994)
Numer. Linear Algebra Appl.
, vol.1
, pp. 75-101
-
-
Axelsson, O.1
Vassilevski, P.S.2
-
6
-
-
0004219794
-
-
Chapman & Hall/CRC, Boca Raton, FL
-
J. Bramble, Multigrid Methods, Chapman & Hall/CRC, Boca Raton, FL, 1993.
-
(1993)
Multigrid Methods
-
-
Bramble, J.1
-
7
-
-
0002438068
-
Algebraic multigrid (AMG) for sparse matrix equations
-
Cambridge University Press, Cambridge, UK
-
A. Brandt, S. McCormick, and J. Ruge, Algebraic multigrid (AMG) for sparse matrix equations, in Sparsity and Its Applications (Loughborough, 1983), Cambridge University Press, Cambridge, UK, 1985, pp. 257-284.
-
(1985)
Sparsity and Its Applications (Loughborough, 1983)
, pp. 257-284
-
-
Brandt, A.1
McCormick, S.2
Ruge, J.3
-
8
-
-
0034770470
-
Algebraic multigrid based on element interpolation (AMGe)
-
M. Brezina, A. J. Cleary, R. D. Falgout, V. E. Henson, J. E. Jones, T. A. Manteuffel, S. F. McCormick, and J. W. Ruge, Algebraic multigrid based on element interpolation (AMGe), SIAM J. Sci. Comput., 22 (2000), pp. 1570-1592.
-
(2000)
SIAM J. Sci. Comput.
, vol.22
, pp. 1570-1592
-
-
Brezina, M.1
Cleary, A.J.2
Falgout, R.D.3
Henson, V.E.4
Jones, J.E.5
Manteuffel, T.A.6
McCormick, S.F.7
Ruge, J.W.8
-
9
-
-
21244472010
-
Adaptive smoothed aggregation (αSA) multigrid
-
M. Brezina, R. Falgout, S. MacLachlan, T. Manteuffel, S. McCormick, and J. Ruge, Adaptive smoothed aggregation (αSA) multigrid, SIAM Rev., 47 (2005), pp. 317-346.
-
(2005)
SIAM Rev.
, vol.47
, pp. 317-346
-
-
Brezina, M.1
Falgout, R.2
MacLachlan, S.3
Manteuffel, T.4
McCormick, S.5
Ruge, J.6
-
10
-
-
84859724300
-
An improved convergence analysis of smoothed aggregation algebraic multigrid
-
M. Brezina, P. Vaněk, and P. S. Vassilevski, An improved convergence analysis of smoothed aggregation algebraic multigrid, Numer. Linear Algebra Appl., 19 (2012), pp. 441-469.
-
(2012)
Numer. Linear Algebra Appl.
, vol.19
, pp. 441-469
-
-
Brezina, M.1
Vaněk, P.2
Vassilevski, P.S.3
-
11
-
-
0004185470
-
-
2nd ed. SIAM, Philadelphia
-
W. L. Briggs, V. E. Henson, and S. F. McCormick, A Multigrid Tutorial, 2nd ed., SIAM, Philadelphia, 2000.
-
(2000)
A Multigrid Tutorial
-
-
Briggs, W.L.1
Henson, V.E.2
McCormick, S.F.3
-
12
-
-
1842479841
-
Spectral AMGe (ρAMGe)
-
T. Chartier, R. D. Falgout, V. E. Henson, J. Jones, T. Manteuffel, S. McCormick, J. Ruge, and P. S. Vassilevski, Spectral AMGe (ρAMGe), SIAM J. Sci. Comput., 25 (2003), pp. 1-26.
-
(2003)
SIAM J. Sci. Comput.
, vol.25
, pp. 1-26
-
-
Chartier, T.1
Falgout, R.D.2
Henson, V.E.3
Jones, J.4
Manteuffel, T.5
McCormick, S.6
Ruge, J.7
Vassilevski, P.S.8
-
13
-
-
22144444957
-
On two-grid convergence estimates
-
R. D. Falgout, P. S. Vassilevski, and L. T. Zikatanov, On two-grid convergence estimates, Numer. Linear Algebra Appl., 12 (2005), pp. 471-494.
-
(2005)
Numer. Linear Algebra Appl.
, vol.12
, pp. 471-494
-
-
Falgout, R.D.1
Vassilevski, P.S.2
Zikatanov, L.T.3
-
14
-
-
0033293064
-
Inexact preconditioned conjugate gradient method with inner-outer iteration
-
G. H. Golub and Q. Ye, Inexact preconditioned conjugate gradient method with inner-outer iteration, SIAM J. Sci. Comput., 21 (1999), pp. 1305-1320.
-
(1999)
SIAM J. Sci. Comput.
, vol.21
, pp. 1305-1320
-
-
Golub, G.H.1
Ye, Q.2
-
16
-
-
0036453449
-
An algebraic preconditioning method for M-matrices: Linear versus non-linear multilevel iteration
-
J. K. Kraus, An algebraic preconditioning method for M-matrices: Linear versus non-linear multilevel iteration, Numer. Linear Algebra Appl., 9 (2002), pp. 599-618.
-
(2002)
Numer. Linear Algebra Appl.
, vol.9
, pp. 599-618
-
-
Kraus, J.K.1
-
17
-
-
52649144198
-
On some versions of the element agglomeration AMGe method
-
I. Lashuk and P. S. Vassilevski, On some versions of the element agglomeration AMGe method, Numer. Linear Algebra Appl., 15 (2008), pp. 595-620.
-
(2008)
Numer. Linear Algebra Appl.
, vol.15
, pp. 595-620
-
-
Lashuk, I.1
Vassilevski, P.S.2
-
18
-
-
0021417959
-
Multigrid methods for variational problems: Further results
-
S. F. McCormick, Multigrid methods for variational problems: Further results, SIAM J. Numer. Anal., 21 (1984), pp. 255-263.
-
(1984)
SIAM J. Numer. Anal.
, vol.21
, pp. 255-263
-
-
McCormick, S.F.1
-
19
-
-
0022107991
-
Multigrid methods for variational problems: General theory for the v -cycle
-
S. F. McCormick, Multigrid methods for variational problems: General theory for the V -cycle, SIAM J. Numer. Anal., 22 (1985), pp. 634-643.
-
(1985)
SIAM J. Numer. Anal.
, vol.22
, pp. 634-643
-
-
McCormick, S.F.1
-
20
-
-
0034880095
-
Flexible conjugate gradients
-
Y. Notay, Flexible conjugate gradients, SIAM J. Sci. Comput., 22 (2000), pp. 1444-1460.
-
(2000)
SIAM J. Sci. Comput.
, vol.22
, pp. 1444-1460
-
-
Notay, Y.1
-
22
-
-
0001885411
-
Algebraic multigrid
-
S. F. McCormick, ed., SIAM, Philadelphia
-
J. W. Ruge and K. Stüben, Algebraic multigrid, in Multigrid Methods, Frontiers Appl. Math. 3, S. F. McCormick, ed., SIAM, Philadelphia, 1987, pp. 73-130.
-
(1987)
Multigrid Methods, Frontiers Appl. Math.
, vol.3
, pp. 73-130
-
-
Ruge, J.W.1
Stüben, K.2
-
24
-
-
0003810147
-
Multigrid methods for finite elements
-
Kluwer Academic Publishers Group, Dordrecht, The Netherlands
-
V. V. Shaǐdurov, Multigrid Methods for Finite Elements, Math. Appl. 318, Kluwer Academic Publishers Group, Dordrecht, The Netherlands, 1995.
-
(1995)
Math. Appl.
, vol.318
-
-
Shaǐdurov, V.V.1
-
25
-
-
0004239925
-
-
Academic Press, New York
-
U. Trottenberg, C. Oosterlee, and A. Schüller, Multigrid, Academic Press, New York, 2001.
-
(2001)
Multigrid
-
-
Trottenberg, U.1
Oosterlee, C.2
Schüller, A.3
-
26
-
-
0030388574
-
Algebraic multigrid by smoothed aggregation for second and fourth order elliptic problems
-
P. Vaněk, J. Mandel, and M. Brezina, Algebraic multigrid by smoothed aggregation for second and fourth order elliptic problems, Computing, 56 (1996), pp. 179-196.
-
(1996)
Computing
, vol.56
, pp. 179-196
-
-
Vaněk, P.1
Mandel, J.2
Brezina, M.3
-
27
-
-
0001547219
-
Hybrid v -cycle algebraic multilevel preconditioners
-
P. S. Vassilevski, Hybrid V -cycle algebraic multilevel preconditioners, Math. Comp., 58 (1992), pp. 489-512.
-
(1992)
Math. Comp.
, vol.58
, pp. 489-512
-
-
Vassilevski, P.S.1
-
29
-
-
0004235054
-
-
Ph.D. thesis, Cornell University, Ithaca, NY
-
J. Xu, Theory of Multilevel Methods, Ph.D. thesis, Cornell University, Ithaca, NY, 1989.
-
(1989)
Theory of Multilevel Methods
-
-
Xu, J.1
-
30
-
-
0000570696
-
Iterative methods by space decomposition and subspace correction
-
J. Xu, Iterative methods by space decomposition and subspace correction, SIAM Rev., 34 (1992), pp. 581-613.
-
(1992)
SIAM Rev.
, vol.34
, pp. 581-613
-
-
Xu, J.1
-
31
-
-
0036016141
-
The method of alternating projections and the method of subspace corrections in Hilbert space
-
electronic
-
J. Xu and L. Zikatanov, The method of alternating projections and the method of subspace corrections in Hilbert space, J. Amer. Math. Soc., 15 (2002), pp. 573-597 (electronic).
-
(2002)
J. Amer. Math. Soc.
, vol.15
, pp. 573-597
-
-
Xu, J.1
Zikatanov, L.2
-
32
-
-
33750160340
-
On an energy minimizing basis for algebraic multigrid methods
-
J. Xu and L. Zikatanov, On an energy minimizing basis for algebraic multigrid methods, Comput. Vis. Sci., 7 (2004), pp. 121-127.
-
(2004)
Comput. Vis. Sci.
, vol.7
, pp. 121-127
-
-
Xu, J.1
Zikatanov, L.2
-
33
-
-
51449106109
-
Two-sided bounds on the convergence rate of two-level methods
-
L. T. Zikatanov, Two-sided bounds on the convergence rate of two-level methods, Numer. Linear Algebra Appl., 15 (2008), pp. 439-454.
-
(2008)
Numer. Linear Algebra Appl.
, vol.15
, pp. 439-454
-
-
Zikatanov, L.T.1
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