-
2
-
-
84985315720
-
Diagonally compensated reduction and related preconditioning methods
-
O. Axelsson, L.Yu. Kolotilina, Diagonally compensated reduction and related preconditioning methods, Numer. Linear Algebra Appl. 1 (1994) 155-177.
-
(1994)
Numer. Linear Algebra Appl.
, vol.1
, pp. 155-177
-
-
Axelsson, O.1
Kolotilina, L.Yu.2
-
3
-
-
0001276831
-
On the eigenvalue distribution of a class of preconditioning methods
-
O. Axelsson, G. Lindskog, On the eigenvalue distribution of a class of preconditioning methods, Numer. Math. 48 (1986) 479-498.
-
(1986)
Numer. Math.
, vol.48
, pp. 479-498
-
-
Axelsson, O.1
Lindskog, G.2
-
4
-
-
0000696639
-
On the rate of convergence of the preconditioned conjugate gradient method
-
O. Axelsson, G. Lindskog, On the rate of convergence of the preconditioned conjugate gradient method, Numer. Math. 48 (1986) 499-523.
-
(1986)
Numer. Math.
, vol.48
, pp. 499-523
-
-
Axelsson, O.1
Lindskog, G.2
-
6
-
-
84966252378
-
On the stability of relaxed incomplete LU factorizations
-
A.M. Bruaset, A. Tveito, R. Winther, On the stability of relaxed incomplete LU factorizations, Math. Comp. 54 (1990) 701-719.
-
(1990)
Math. Comp.
, vol.54
, pp. 701-719
-
-
Bruaset, A.M.1
Tveito, A.2
Winther, R.3
-
7
-
-
0001045889
-
A numerical method for the solution of two-dimensional and three-dimensional equations of diffusion
-
English transl.: Rep. BNL-TR-551, Brookhaven National Laboratory, Upton, New York, 1973
-
N.I. Buleev, A numerical method for the solution of two-dimensional and three-dimensional equations of diffusion, Math. Sb. 51 (1960) 227-238. English transl.: Rep. BNL-TR-551, Brookhaven National Laboratory, Upton, New York, 1973.
-
(1960)
Math. Sb.
, vol.51
, pp. 227-238
-
-
Buleev, N.I.1
-
8
-
-
84966228742
-
Some stable methods for calculating inertia and solving symmetric linear systems
-
J.R. Bunch, L. Kaufman, Some stable methods for calculating inertia and solving symmetric linear systems, Math. Comp. 31 (1977) 162-179.
-
(1977)
Math. Comp.
, vol.31
, pp. 162-179
-
-
Bunch, J.R.1
Kaufman, L.2
-
9
-
-
0040429379
-
-
Technical Report 871, Department of Mathematics, University of Utrecht
-
T.F. Chan, H.A. Van der Vorst, Approximate and incomplete factorizations, Technical Report 871, Department of Mathematics, University of Utrecht, 1994.
-
(1994)
Approximate and Incomplete Factorizations
-
-
Chan, T.F.1
Van Der Vorst, H.A.2
-
10
-
-
0003956446
-
-
Technical Report UMSI 96/14, Minnesota Supercomputer Institute, University of Minnesota, Minneapolis, Minnesota
-
A. Chapman, Y. Saad, L. Wigton, High-order ILU preconditioners for CFD problems. Technical Report UMSI 96/14, Minnesota Supercomputer Institute, University of Minnesota, Minneapolis, Minnesota, 1996.
-
(1996)
High-order ILU Preconditioners for CFD Problems
-
-
Chapman, A.1
Saad, Y.2
Wigton, L.3
-
11
-
-
0031251615
-
ILUS: An incomplete LU preconditioner in sparse skyline format
-
E. Chow, Y. Saad, ILUS: an incomplete LU preconditioner in sparse skyline format, Internat. J. Numer. Methods Fluids 25 (1997) 739-748.
-
(1997)
Internat. J. Numer. Methods Fluids
, vol.25
, pp. 739-748
-
-
Chow, E.1
Saad, Y.2
-
12
-
-
0000256195
-
Towards a cost-effective ILU preconditioner with high level fill
-
E.F. D'Azevdo, P.A. Forsyth, W.-P. Tang, Towards a cost-effective ILU preconditioner with high level fill, BIT 32 (1992) 442-463.
-
(1992)
BIT
, vol.32
, pp. 442-463
-
-
D'Azevdo, E.F.1
Forsyth, P.A.2
Tang, W.-P.3
-
13
-
-
0000914013
-
The factorization of sparse indefinite matrices
-
I.S. Duff, N.I.M. Gould, J.K. Reid, J.A. Scott, The factorization of sparse indefinite matrices, IMA J. Numer. Anal. 11 (1991) 181-204.
-
(1991)
IMA J. Numer. Anal.
, vol.11
, pp. 181-204
-
-
Duff, I.S.1
Gould, N.I.M.2
Reid, J.K.3
Scott, J.A.4
-
14
-
-
0000602242
-
The effect of ordering on preconditioned conjugate gradients
-
I.S. Duff, G.A. Meurant, The effect of ordering on preconditioned conjugate gradients, BIT 29 (1989) 635-657.
-
(1989)
BIT
, vol.29
, pp. 635-657
-
-
Duff, I.S.1
Meurant, G.A.2
-
15
-
-
0027545264
-
The effect of ordering on preconditioned GMRES algorithms, for solving the compressible Navier-Stokes equations
-
L.C. Dutto, The effect of ordering on preconditioned GMRES algorithms, for solving the compressible Navier-Stokes equations, Internat. J. Numer. Methods Eng. 36 (1993) 457-497.
-
(1993)
Internat. J. Numer. Methods Eng.
, vol.36
, pp. 457-497
-
-
Dutto, L.C.1
-
16
-
-
84966211825
-
A stability analysis of incomplete LU factorizations
-
H.C. Elman, A stability analysis of incomplete LU factorizations, Math. Comp. 47 (1986) 191-217.
-
(1986)
Math. Comp.
, vol.47
, pp. 191-217
-
-
Elman, H.C.1
-
17
-
-
0001330133
-
Relaxed and stabilized incomplete factorizations for non-self-adjoint linear systems
-
H.C. Elman, Relaxed and stabilized incomplete factorizations for non-self-adjoint linear systems, BIT 29 (1989) 890-915.
-
(1989)
BIT
, vol.29
, pp. 890-915
-
-
Elman, H.C.1
-
18
-
-
0004049318
-
-
Fluid Dynamics International, Evanston, IL
-
M. Engelman, FIDAP: Examples Manual, Revision 6.0, Fluid Dynamics International, Evanston, IL, 1991.
-
(1991)
FIDAP: Examples Manual, Revision 6.0
-
-
Engelman, M.1
-
19
-
-
85033107112
-
-
Technical Report 88-1, Fluid Dynamics International, Evanston, Illinois
-
M.S. Engelman, I. Hasbani, Matrix-free solution algorithms in a finite element context, Technical Report 88-1, Fluid Dynamics International, Evanston, Illinois, 1988.
-
(1988)
Matrix-free Solution Algorithms in a Finite Element Context
-
-
Engelman, M.S.1
Hasbani, I.2
-
20
-
-
0003645035
-
-
Prentice-Hall, Englewood Cliffs, NJ
-
A. George, J.W. Liu, Computer Solution of Large Sparse Positive Definite Systems, Prentice-Hall, Englewood Cliffs, NJ, 1981.
-
(1981)
Computer Solution of Large Sparse Positive Definite Systems
-
-
George, A.1
Liu, J.W.2
-
21
-
-
0003039594
-
A class of first-order factorization methods
-
I. Gustafsson, A class of first-order factorization methods, BIT 18 (1978) 142-156.
-
(1978)
BIT
, vol.18
, pp. 142-156
-
-
Gustafsson, I.1
-
23
-
-
0002497330
-
The incomplete Cholesky-conjugate gradient method for the iterative solution of systems of linear equations
-
D.S. Kershaw, The incomplete Cholesky-conjugate gradient method for the iterative solution of systems of linear equations, J. Comput. Phys. 26 (1978) 43-65.
-
(1978)
J. Comput. Phys.
, vol.26
, pp. 43-65
-
-
Kershaw, D.S.1
-
24
-
-
84966241510
-
An incomplete factorization technique for positive definite linear systems
-
T.A. Manteuffel, An incomplete factorization technique for positive definite linear systems, Math. Comp. 34 (1980) 473-497.
-
(1980)
Math. Comp.
, vol.34
, pp. 473-497
-
-
Manteuffel, T.A.1
-
25
-
-
84966225158
-
An iterative solution method for linear systems of which the coefficient matrix is a symmetric M-matrix
-
J.A. Meijerink, H.A. Van der Vorst, An iterative solution method for linear systems of which the coefficient matrix is a symmetric M-matrix, Math. Comp. 31 (1977) 148-162.
-
(1977)
Math. Comp.
, vol.31
, pp. 148-162
-
-
Meijerink, J.A.1
Van Der Vorst, H.A.2
-
26
-
-
49049148707
-
Guidelines for the usage of incomplete decompositions in solving sets of linear equations as they occur in practical problems
-
J.A. Meijerink, H.A. Van der Vorst, Guidelines for the usage of incomplete decompositions in solving sets of linear equations as they occur in practical problems, J. Comput. Phys. 44 (1981) 134-155.
-
(1981)
J. Comput. Phys.
, vol.44
, pp. 134-155
-
-
Meijerink, J.A.1
Van Der Vorst, H.A.2
-
27
-
-
84976824344
-
Solving sparse symmetric sets of linear equations by preconditioned conjugate gradients
-
N. Munksgaard, Solving sparse symmetric sets of linear equations by preconditioned conjugate gradients, ACM Trans. Math. Software 6 (1980) 206-219.
-
(1980)
ACM Trans. Math. Software
, vol.6
, pp. 206-219
-
-
Munksgaard, N.1
-
28
-
-
0009247999
-
An implicit numerical method for solving two-dimensional time-dependent diffusion problems
-
T.A. Oliphant, An implicit numerical method for solving two-dimensional time-dependent diffusion problems, Quart. Appl. Math. 19 (1961) 221-229.
-
(1961)
Quart. Appl. Math.
, vol.19
, pp. 221-229
-
-
Oliphant, T.A.1
-
29
-
-
0001399580
-
An extrapolation process for solving linear systems
-
T.A. Oliphant, An extrapolation process for solving linear systems, Quart. Appl. Math. 20 (1962) 257-267.
-
(1962)
Quart. Appl. Math.
, vol.20
, pp. 257-267
-
-
Oliphant, T.A.1
-
31
-
-
0002507205
-
Direct methods for sparse matrices
-
Springer, Berlin
-
O. Østerby, Z. Zlatev, Direct Methods for Sparse Matrices, Lecture Notes in Computer Science, vol. 157, Springer, Berlin, 1983.
-
(1983)
Lecture Notes in Computer Science
, vol.157
-
-
ØSterby, O.1
Zlatev, Z.2
-
32
-
-
0001241033
-
The use of linear graphs in Gauss elimination
-
S.V. Parter, The use of linear graphs in Gauss elimination, SIAM Rev. 3 (1961) 119-130.
-
(1961)
SIAM Rev.
, vol.3
, pp. 119-130
-
-
Parter, S.V.1
-
33
-
-
0012189842
-
Regular incomplete factorizations of real positive definite matrices
-
Y. Robert, Regular incomplete factorizations of real positive definite matrices, Linear Algebra Appl. 48 (1982) 105-117.
-
(1982)
Linear Algebra Appl.
, vol.48
, pp. 105-117
-
-
Robert, Y.1
-
34
-
-
0002598644
-
Preconditioning techniques for indefinite and nonsymmetric linear systems
-
Y. Saad, Preconditioning techniques for indefinite and nonsymmetric linear systems, J. Comput. Appl. Math. 24 (1988) 89-105.
-
(1988)
J. Comput. Appl. Math.
, vol.24
, pp. 89-105
-
-
Saad, Y.1
-
35
-
-
84985408358
-
ILUT: A dual threshold incomplete ILU factorization
-
Y. Saad, ILUT: A dual threshold incomplete ILU factorization, Numer. Linear Algebra Appl. 1 (1994) 387-402.
-
(1994)
Numer. Linear Algebra Appl.
, vol.1
, pp. 387-402
-
-
Saad, Y.1
-
36
-
-
0039270913
-
Preconditioned Krylov subspace methods for CFD applications
-
W.G. Habashi (Ed.), Montréal, Québec
-
Y. Saad, Preconditioned Krylov subspace methods for CFD applications, in: W.G. Habashi (Ed.), Proc. Internat. Workshop on Solution Techniques for Large-Scale CFD Problems, Montréal, Québec, 1994, pp. 179-195.
-
(1994)
Proc. Internat. Workshop on Solution Techniques for Large-Scale CFD Problems
, pp. 179-195
-
-
Saad, Y.1
-
37
-
-
0002003127
-
Iterative solution methods for certain sparse linear systems with a non-symmetric matrix arising from PDF-problems
-
H.A. Van der Vorst, Iterative solution methods for certain sparse linear systems with a non-symmetric matrix arising from PDF-problems, J. Comput. Phys. 44 (1981) 1-19.
-
(1981)
J. Comput. Phys.
, vol.44
, pp. 1-19
-
-
Van Der Vorst, H.A.1
-
38
-
-
0042240711
-
Stabilized incomplete LU-decompositions as preconditionings for the Tchebycheff iteration
-
D.J. Evans (Ed.), Gordon and Breach, New York
-
H.A. Van der Vorst, Stabilized incomplete LU-decompositions as preconditionings for the Tchebycheff iteration, in: D.J. Evans (Ed.), Preconditioning methods: Analysis and Applications, Gordon and Breach, New York, 1983.
-
(1983)
Preconditioning Methods: Analysis and Applications
-
-
Van Der Vorst, H.A.1
-
39
-
-
0002340103
-
Factorization and normalized iterative methods
-
R.E. Langer (Ed.), University of Wisconsin Press, Santa Barbara, CA
-
R.S. Varga, Factorization and normalized iterative methods, in: R.E. Langer (Ed.), Boundary Problems in Differential Equations, University of Wisconsin Press, Santa Barbara, CA, 1960, pp. 121-142.
-
(1960)
Boundary Problems in Differential Equations
, pp. 121-142
-
-
Varga, R.S.1
-
40
-
-
0012126476
-
Incomplete factorizations of matrices and connections with H-matrices
-
R.S. Varga, E.B. Saff, V. Mehrman, Incomplete factorizations of matrices and connections with H-matrices, SIAM J. Numer. Anal. 17 (1980) 787-793.
-
(1980)
SIAM J. Numer. Anal.
, vol.17
, pp. 787-793
-
-
Varga, R.S.1
Saff, E.B.2
Mehrman, V.3
-
41
-
-
0019359208
-
A conjugate gradient truncated direct method for the iterative solution of the reservoir simulation pressure equation
-
J.W. Watts-III, A conjugate gradient truncated direct method for the iterative solution of the reservoir simulation pressure equation, Soc. Pet. Eng. J. 21 (1981) 345-353.
-
(1981)
Soc. Pet. Eng. J.
, vol.21
, pp. 345-353
-
-
Watts J.W. III1
-
42
-
-
0000561596
-
On the robustness of ILU-smoothing
-
G. Wittum, On the robustness of ILU-smoothing, SIAM J. Sci. Stat. Comput. 10 (1989) 699-717.
-
(1989)
SIAM J. Sci. Stat. Comput.
, vol.10
, pp. 699-717
-
-
Wittum, G.1
-
43
-
-
85033102731
-
-
private communication
-
A. Yu. Yeremin, private communication, 1995.
-
(1995)
-
-
Yeremin, A.Yu.1
-
44
-
-
85033114017
-
-
Technical Report NI-78-01, Numerisk Institut, Lyngby, Denmark
-
Z. Zlatev, V. A. Barker, P.G. Thomsen, SLEST: a Fortran IV subroutine for solving sparse systems of linear equations, User's guide, Technical Report NI-78-01, Numerisk Institut, Lyngby, Denmark, 1978.
-
(1978)
SLEST: A Fortran IV Subroutine for Solving Sparse Systems of Linear Equations, User's Guide
-
-
Zlatev, Z.1
Barker, V.A.2
Thomsen, P.G.3
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