-
2
-
-
0036867930
-
Preconditioning techniques for large linear systems: A survey
-
Benzi M. Preconditioning techniques for large linear systems: a survey. J Comput Phys 2002;182:418-77.
-
(2002)
J Comput Phys
, vol.182
, pp. 418-477
-
-
Benzi, M.1
-
3
-
-
0004675411
-
A sparse approximate inverse preconditioner for the conjugate gradient method
-
Benzi M, Meyer CD, Tuma M. A sparse approximate inverse preconditioner for the conjugate gradient method. SIAM J Sci Comput 1996;17:1135-49.
-
(1996)
SIAM J Sci Comput
, vol.17
, pp. 1135-1149
-
-
Benzi, M.1
Meyer, C.D.2
Tuma, M.3
-
4
-
-
84966252378
-
On the stability of relaxed incomplete LU factorizations
-
Bruaset AM, Tveito A, Winther R. On the stability of relaxed incomplete LU factorizations. Math Comput 1990;54:701-19.
-
(1990)
Math Comput
, vol.54
, pp. 701-719
-
-
Bruaset, A.M.1
Tveito, A.2
Winther, R.3
-
6
-
-
0034319806
-
The impact of high performance computing in the solution of linear systems: Trends and problems
-
Duff I. The impact of high performance computing in the solution of linear systems: trends and problems. J Comput Appl Math 2000;123:515-30.
-
(2000)
J Comput Appl Math
, vol.123
, pp. 515-530
-
-
Duff, I.1
-
7
-
-
0001330133
-
Relaxed and stabilized incomplete factorization for non-self-adjoint linear systems
-
Elman HC. Relaxed and stabilized incomplete factorization for non-self-adjoint linear systems. BIT 1989;29:890-915.
-
(1989)
BIT
, vol.29
, pp. 890-915
-
-
Elman, H.C.1
-
8
-
-
84966211825
-
A stability analysis of incomplete LU factorizations
-
Elman HC. A stability analysis of incomplete LU factorizations. Math Comput 1986;47:191-217.
-
(1986)
Math Comput
, vol.47
, pp. 191-217
-
-
Elman, H.C.1
-
9
-
-
0036989839
-
Explicit approximate inverse preconditioning techniques
-
Gravvanis GA. Explicit approximate inverse preconditioning techniques. Arch Comput Methods Eng 2002;9(4):371-402.
-
(2002)
Arch Comput Methods Eng
, vol.9
, Issue.4
, pp. 371-402
-
-
Gravvanis, G.A.1
-
10
-
-
0013189624
-
A note on the rate of convergence and complexity of domain decomposition approximate inverse preconditioning
-
Bathe KJ, editor. Computational fluid and solid mechanics 2001. Elsevier
-
Gravvanis GA, A note on the rate of convergence and complexity of domain decomposition approximate inverse preconditioning. In: Bathe KJ, editor. Computational fluid and solid mechanics 2001. Proceedings of the First MIT Conference on Computational Fluid and Solid Mechanics, vol. 2. Elsevier; 2001. p. 1586-9.
-
(2001)
Proceedings of the First MIT Conference on Computational Fluid and Solid Mechanics
, vol.2
, pp. 1586-1589
-
-
Gravvanis, G.A.1
-
11
-
-
0013251505
-
Generalized approximate inverse preconditioning for solving non-linear elliptic boundary-value problems. I
-
Gravvanis GA. Generalized approximate inverse preconditioning for solving non-linear elliptic boundary-value problems. I. J Appl Math 2000;2(11):1363-78.
-
(2000)
J Appl Math
, vol.2
, Issue.11
, pp. 1363-1378
-
-
Gravvanis, G.A.1
-
12
-
-
0000874034
-
On the numerical modeling and solution of non-linear partial differential equations
-
Lewis RW, Cross JT, editors. Pineridge Press
-
Gravvanis GA. On the numerical modeling and solution of non-linear partial differential equations. In: Lewis RW, Cross JT, editors. Numerical methods in thermal problems, vol. X. Pineridge Press; 1997. p. 898-909.
-
(1997)
Numerical Methods in Thermal Problems
, vol.10
, pp. 898-909
-
-
Gravvanis, G.A.1
-
13
-
-
0029777947
-
The rate of convergence of explicit approximate inverse preconditioning. I
-
Gravvanis GA. The rate of convergence of explicit approximate inverse preconditioning. I. J Comput Math 1996;60:77-89.
-
(1996)
J Comput Math
, vol.60
, pp. 77-89
-
-
Gravvanis, G.A.1
-
14
-
-
0013190389
-
On the numerical modelling and solution of initial/boundary value problems
-
Lewis RW, Durbetaki P, editors. Pineridge Press
-
Gravvanis GA, Lipitakis EA. On the numerical modelling and solution of initial/boundary value problems. In: Lewis RW, Durbetaki P, editors. Numerical methods in thermal problems, vol. IX, Part 2. Pineridge Press; 1995. p. 782-93.
-
(1995)
Numerical Methods in Thermal Problems
, vol.9
, Issue.PART 2
, pp. 782-793
-
-
Gravvanis, G.A.1
Lipitakis, E.A.2
-
15
-
-
35048838249
-
Normalized finite element approximate inverse preconditioning for solving non-linear boundary value problems. In: Computational fluid and solid mechanics 2003
-
Bathe KJ, editor. Elsevier
-
Gravvanis GA, Giannoutakis KM. Normalized finite element approximate inverse preconditioning for solving non-linear boundary value problems. In: Computational fluid and solid mechanics 2003. In: Bathe KJ, editor. Proceedings of the Second MIT Conference on Computational Fluid and Solid Mechanics, voL 2. Elsevier; 2003. p. 1958-62.
-
(2003)
Proceedings of the Second MIT Conference on Computational Fluid and Solid Mechanics
, vol.2
, pp. 1958-1962
-
-
Gravvanis, G.A.1
Giannoutakis, K.M.2
-
16
-
-
84941645326
-
On the rate of convergence and complexity of finite element normalized explicit approximate inverse preconditioning. In: Computational fluid and solid mechanics 2003
-
Bathe KJ, editor. Elsevier
-
Gravvanis GA, Giannoutakis KM. On the rate of convergence and complexity of finite element normalized explicit approximate inverse preconditioning. In: Computational fluid and solid mechanics 2003. In: Bathe KJ, editor. Proceedings of the Second MTT Conference on Computational Fluid and Solid Mechanics, vol. 2. Elsevier; 2003. p. 1963-7.
-
(2003)
Proceedings of the Second MTT Conference on Computational Fluid and Solid Mechanics
, vol.2
, pp. 1963-1967
-
-
Gravvanis, G.A.1
Giannoutakis, K.M.2
-
17
-
-
4444338653
-
Normalized explicit finite element approximate inverses
-
Gravvanis GA, Giannoutakis KM. Normalized explicit finite element approximate inverses. L J Different Equal Appl 2003;6(3):253-67.
-
(2003)
L J Different Equal Appl
, vol.6
, Issue.3
, pp. 253-267
-
-
Gravvanis, G.A.1
Giannoutakis, K.M.2
-
21
-
-
0031129197
-
Parallel preconditioning with sparse approximate inverses
-
Grote MJ, Huckle T. Parallel preconditioning with sparse approximate inverses. SIAM J Sci Comput 1997;18:838-53.
-
(1997)
SIAM J Sci Comput
, vol.18
, pp. 838-853
-
-
Grote, M.J.1
Huckle, T.2
-
22
-
-
0033149565
-
Approximate sparsity patterns for the inverse of a matrix and preconditioning
-
Huckle T. Approximate sparsity patterns for the inverse of a matrix and preconditioning. Appl Numer Math 1999;30:291-303.
-
(1999)
Appl Numer Math
, vol.30
, pp. 291-303
-
-
Huckle, T.1
-
23
-
-
0032385045
-
Efficient computations of sparse approximate inverses
-
Huckle T. Efficient computations of sparse approximate inverses. Numer Linear Algebra Appl 1998;5:57-71.
-
(1998)
Numer Linear Algebra Appl
, vol.5
, pp. 57-71
-
-
Huckle, T.1
-
24
-
-
84985376638
-
New convergence results and preconditioning strategies for the conjugate gradient method
-
Kaporin I. New convergence results and preconditioning strategies for the conjugate gradient method. Numer Linear Algebra Appl 1994;1:179-210.
-
(1994)
Numer Linear Algebra Appl
, vol.1
, pp. 179-210
-
-
Kaporin, I.1
-
25
-
-
4944266311
-
A normalized sparse linear equation solver
-
Lipitakis EA. A normalized sparse linear equation solver. J. Comput. Appl. Math. 1983;87-98.
-
(1983)
J. Comput. Appl. Math.
, pp. 87-98
-
-
Lipitakis, E.A.1
-
26
-
-
0021408223
-
Solving linear finite element systems by normalized approximate matrix factorization semi-direct methods
-
Lipitakis EA, Evans DJ. Solving linear finite element systems by normalized approximate matrix factorization semi-direct methods. Comput Methods Appl Mech Eng 1984;43:1-19.
-
(1984)
Comput Methods Appl Mech Eng
, vol.43
, pp. 1-19
-
-
Lipitakis, E.A.1
Evans, D.J.2
-
27
-
-
0019661809
-
Normalized implicit methods for the soltition of non-linear elliptic boundary value problems
-
Lipitakis EA, Evans DJ. Normalized implicit methods for the soltition of non-linear elliptic boundary value problems. Comput Math Appl 1981;7(6):553-62.
-
(1981)
Comput Math Appl
, vol.7
, Issue.6
, pp. 553-562
-
-
Lipitakis, E.A.1
Evans, D.J.2
-
28
-
-
4944266312
-
The convergence rate and complexity of preconditioned iterative methods based on approximate finite element matrix factorization
-
Liprtakis EA, Gravvanis GA. The convergence rate and complexity of preconditioned iterative methods based on approximate finite element matrix factorization. Bull Greek Math Soc 1992;33:11-23.
-
(1992)
Bull Greek Math Soc
, vol.33
, pp. 11-23
-
-
Liprtakis, E.A.1
Gravvanis, G.A.2
-
29
-
-
21144467170
-
On the convergence rate of the conjugate gradients in presence of rounding errors
-
Notay Y. On the convergence rate of the conjugate gradients in presence of rounding errors. Numer Math 1993;65:301-17.
-
(1993)
Numer Math
, vol.65
, pp. 301-317
-
-
Notay, Y.1
-
30
-
-
0039179703
-
Iterative solution of linear systems in the 20th century
-
Saad Y, van der Vorst HA. Iterative solution of linear systems in the 20th century. J Comput Appl Math 2000;123:1-33.
-
(2000)
J Comput Appl Math
, vol.123
, pp. 1-33
-
-
Saad, Y.1
Van Der Vorst, H.A.2
-
31
-
-
0001403122
-
The rate of convergence of conjugate gradients
-
van der Sluis A, van der Vorst HA. The rate of convergence of conjugate gradients. Numer Math 1986;48:543-60.
-
(1986)
Numer Math
, vol.48
, pp. 543-560
-
-
Van Der Sluis, A.1
Van Der Vorst, H.A.2
-
32
-
-
0000561596
-
On the robustness of ILU smoothing
-
Wittum G. On the robustness of ILU smoothing. SIAM J Sci Stat Comput 1989;10:699-717.
-
(1989)
SIAM J Sci Stat Comput
, vol.10
, pp. 699-717
-
-
Wittum, G.1
-
33
-
-
0001683326
-
Numerical stability of the Chebyshev method for the solution of large linear systems
-
Wozniakowski H. Numerical stability of the Chebyshev method for the solution of large linear systems. Numer Math 1977;28:191-209.
-
(1977)
Numer Math
, vol.28
, pp. 191-209
-
-
Wozniakowski, H.1
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