-
1
-
-
0030491606
-
An approximate minimum degree ordering algorithm
-
P. R. AMESTOY, T. A. DAVIS, AND I. S. DUFF, An approximate minimum degree ordering algorithm, SIAM J. Matrix Anal. Appl., 17 (1996), pp. 886-905.
-
(1996)
SIAM J. Matrix Anal. Appl.
, vol.17
, pp. 886-905
-
-
Amestoy, P.R.1
Davis, T.A.2
Duff, I.S.3
-
2
-
-
0032397943
-
Robust ordering of sparse matrices using multisection
-
C. ASHCRAFT AND J. W. H. LIU, Robust ordering of sparse matrices using multisection, SIAM J. Matrix Anal. Appl., 19 (1998), pp. 816-832.
-
(1998)
SIAM J. Matrix Anal. Appl.
, vol.19
, pp. 816-832
-
-
Ashcraft, C.1
Liu, J.W.H.2
-
3
-
-
0001334853
-
Analysis of incomplete factorizations with fixed storage allocation
-
D. Evans, ed., Gordon and Breach, New York
-
O. AXELSSON AND N. MUNKSGAARD, Analysis of incomplete factorizations with fixed storage allocation, in Preconditioning Methods: Analysis and Applications, D. Evans, ed., Gordon and Breach, New York, 1983, pp. 219-241.
-
(1983)
Preconditioning Methods: Analysis and Applications
, pp. 219-241
-
-
Axelsson, O.1
Munksgaard, N.2
-
4
-
-
0002540389
-
A generalized conjugate gradient method for the numerical solution of elliptic partial differential equations
-
J. R. Bunch and D. J. Rose, eds., Academic Press, New York
-
P. CONCUS, G. GOLUB, AND D. O'LEARY, A generalized conjugate gradient method for the numerical solution of elliptic partial differential equations, in Sparse Matrix Computations, J. R. Bunch and D. J. Rose, eds., Academic Press, New York, 1976, pp. 309-332.
-
(1976)
Sparse Matrix Computations
, pp. 309-332
-
-
Concus, P.1
Golub, G.2
O'Leary, D.3
-
5
-
-
0000565358
-
Ordering methods for preconditioned conjugate gradient methods applied to unstructured grid problems
-
E. F. D'AZEVEDO, P. A. FORSYTH, AND W.-P. TANG, Ordering methods for preconditioned conjugate gradient methods applied to unstructured grid problems, SIAM J. Matrix Anal. Appl., 13 (1992), pp. 944-961.
-
(1992)
SIAM J. Matrix Anal. Appl.
, vol.13
, pp. 944-961
-
-
D'Azevedo, E.F.1
Forsyth, P.A.2
Tang, W.-P.3
-
6
-
-
0000256195
-
Towards a cost-effective ILU preconditioner with high level fill
-
E. D'AZEVEDO, P. FORSYTH, AND W. TANG, Towards a cost-effective ILU preconditioner with high level fill, BIT, 32 (1992), pp. 442-463.
-
(1992)
BIT
, vol.32
, pp. 442-463
-
-
D'Azevedo, E.1
Forsyth, P.2
Tang, W.3
-
8
-
-
0000602242
-
The effect of ordering on preconditioned conjugate gradients
-
I. DUFF AND G. MEURANT, The effect of ordering on preconditioned conjugate gradients, BIT, 29 (1989), pp. 635-637.
-
(1989)
BIT
, vol.29
, pp. 635-637
-
-
Duff, I.1
Meurant, G.2
-
9
-
-
0003554095
-
-
Oxford University Press, Oxford, UK
-
I. S. DUFF, A. M. ERISMAN, AND J. K. REID, Direct Methods for Sparse Matrices, Oxford University Press, Oxford, UK, 1986.
-
(1986)
Direct Methods for Sparse Matrices
-
-
Duff, I.S.1
Erisman, A.M.2
Reid, J.K.3
-
10
-
-
33750159300
-
SPARSEPAK: Waterloo sparse matrix package user's guide for SPARSEPAK
-
Department of Computer Science, University of Waterloo, Waterloo, Ontario, Canada
-
J. LIU, E. CHU, A. GEORGE, AND E. No, SPARSEPAK: Waterloo Sparse Matrix Package User's Guide for SPARSEPAK, Tech. Report CS-84-36, Department of Computer Science, University of Waterloo, Waterloo, Ontario, Canada, 1984.
-
(1984)
Tech. Report
, vol.CS-84-36
-
-
Liu, J.1
Chu, E.2
George, A.3
No, E.4
-
11
-
-
0024630993
-
The evolution of the minimum degree ordering algorithm
-
A. GEORGE AND J. W. H. LIU, The evolution of the minimum degree ordering algorithm, SIAM Rev., 31 (1989), pp. 1-19.
-
(1989)
SIAM Rev.
, vol.31
, pp. 1-19
-
-
George, A.1
Liu, J.W.H.2
-
14
-
-
0000135303
-
Methods of conjugate gradients for solving linear systems
-
M. R. HESTENES AND E. STIEFEL, Methods of conjugate gradients for solving linear systems, J. Research Nat. Bur. Standards, 49 (1952), pp. 409-436.
-
(1952)
J. Research Nat. Bur. Standards
, vol.49
, pp. 409-436
-
-
Hestenes, M.R.1
Stiefel, E.2
-
15
-
-
0003629968
-
Blocksolve95 users manual: Scalable library software for the parallel solution of sparse linear systems
-
Argonne National Laboratory, Argonne, IL
-
M. T. JONES AND P. E. PLASSMANN, Blocksolve95 Users Manual: Scalable Library Software for the Parallel Solution of Sparse Linear Systems, Tech. Report ANL-95/48, Argonne National Laboratory, Argonne, IL, 1995.
-
(1995)
Tech. Report
, vol.ANL-95-48
-
-
Jones, M.T.1
Plassmann, P.E.2
-
16
-
-
0033294627
-
Incomplete Cholesky factorizations with limited memory
-
C.-J. LIN AND J. J. MORE, Incomplete Cholesky factorizations with limited memory, SIAM J. Sci, Comput., 21 (1999), pp. 24-45.
-
(1999)
SIAM J. Sci, Comput.
, vol.21
, pp. 24-45
-
-
Lin, C.-J.1
More, J.J.2
-
17
-
-
0000843755
-
Generalized nested dissection
-
R. J. LIPTON, D. J. ROSE, AND R. E. TARJAN, Generalized nested dissection, SIAM J. Numer. Anal., 16 (1979), pp. 346-358.
-
(1979)
SIAM J. Numer. Anal.
, vol.16
, pp. 346-358
-
-
Lipton, R.J.1
Rose, D.J.2
Tarjan, R.E.3
-
18
-
-
0022077450
-
Modification of the minimum degree algorithm by multiple elimination
-
J. W. H. LIU, Modification of the minimum degree algorithm by multiple elimination, ACM Trans. Math. Software, 11 (1985), pp. 141-153.
-
(1985)
ACM Trans. Math. Software
, vol.11
, pp. 141-153
-
-
Liu, J.W.H.1
-
19
-
-
84966241510
-
An incomplete factorization technique for positive definite linear systems
-
T. A. MANTEUPPEL, An incomplete factorization technique for positive definite linear systems, Math. Comput., 34 (1980), pp. 473-497.
-
(1980)
Math. Comput.
, vol.34
, pp. 473-497
-
-
Manteuppel, T.A.1
-
20
-
-
0000444373
-
The elimination form of the inverse and its application to linear program- Ming
-
H. M. MARKOWITZ, The elimination form of the inverse and its application to linear program- ming, Management Sci., 3 (1957), pp. 255-269.
-
(1957)
Management Sci.
, vol.3
, pp. 255-269
-
-
Markowitz, H.M.1
-
21
-
-
84966225158
-
An iterative solution method for linear systems of which the coefficient matrix is a symmetric M-matrix
-
J. A. MEIJERINK AND 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), pp. 148-162.
-
(1977)
Math. Comp.
, vol.31
, pp. 148-162
-
-
Meijerink, J.A.1
Van Der Vorst, H.A.2
-
22
-
-
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), pp. 206-219.
-
(1980)
ACM Trans. Math. Software
, vol.6
, pp. 206-219
-
-
Munksgaard, N.1
-
23
-
-
0000632584
-
A blocked incomplete cholesky preconditioner for hierarchical-memory computers
-
Iterative Methods in Scientific Computation IV, D. R. Kincaid and A. C. Elster, eds., International Associ- ation for Mathematics and Computers in Simulation, Rutgers University, New Brunswick, NJ
-
E. No, B. PEYTON, AND P. RAGHAVAN, A blocked incomplete cholesky preconditioner for hierarchical-memory computers, in Iterative Methods in Scientific Computation IV, D. R. Kincaid and A. C. Elster, eds., IMACS Ser. Comput. Appl. Math. 5, International Associ- ation for Mathematics and Computers in Simulation, Rutgers University, New Brunswick, NJ, 1999, pp. 211-221.
-
(1999)
IMACS Ser. Comput. Appl. Math.
, vol.5
, pp. 211-221
-
-
No, E.1
Peyton, B.2
Raghavan, P.3
-
24
-
-
0033242226
-
Performance of greedy ordering heuristics for sparse Cholesky factorization
-
E. G. NG AND P. RAGHAVAN, Performance of greedy ordering heuristics for sparse Cholesky factorization, SIAM J. Matrix Anal. Appl., 20 (1999), pp. 902-914.
-
(1999)
SIAM J. Matrix Anal. Appl.
, vol.20
, pp. 902-914
-
-
Ng, E.G.1
Raghavan, P.2
-
25
-
-
0001241033
-
The use of linear graphs in Gauss elimination
-
S. PARTER, The use of linear graphs in Gauss elimination, SIAM Rev., 3 (1961), pp. 119-130.
-
(1961)
SIAM Rev.
, vol.3
, pp. 119-130
-
-
Parter, S.1
-
26
-
-
0002892530
-
A graph-theoretic study of the numerical solution of sparse positive definite systems of linear equations
-
R. C. Read, ed., Academic Press, New York
-
D. J. ROSE, A graph-theoretic study of the numerical solution of sparse positive definite systems of linear equations, in Graph Theory and Computing, R. C. Read, ed., Academic Press, New York, 1972, pp. 183-217.
-
(1972)
Graph Theory and Computing
, pp. 183-217
-
-
Rose, D.J.1
-
27
-
-
0001580189
-
Algorithmic aspects of vertex elimination on graphs
-
D. J. ROSE, R. E. TARJAN, AND G. S. LUEKER, Algorithmic aspects of vertex elimination on graphs, SIAM J. Comput., 5 (1976), pp. 266-283.
-
(1976)
SIAM J. Comput.
, vol.5
, pp. 266-283
-
-
Rose, D.J.1
Tarjan, R.E.2
Lueker, G.S.3
-
28
-
-
0032397942
-
Node selection strategies for bottom-up sparse matrix ordering
-
E. ROTHBERG AND S. C. EISENSTAT, Node selection strategies for bottom-up sparse matrix ordering, SIAM J. Matrix Anal. Appl., 19 (1998), pp. 682-695.
-
(1998)
SIAM J. Matrix Anal. Appl.
, vol.19
, pp. 682-695
-
-
Rothberg, E.1
Eisenstat, S.C.2
-
29
-
-
84985408358
-
ILUT: A dual threshold incomplete factorization
-
Y. SAAD, ILUT : A dual threshold incomplete factorization, Numer. Linear Algebra Appl., 1 (1994), pp. 387-402.
-
(1994)
Numer. Linear Algebra Appl.
, vol.1
, pp. 387-402
-
-
Saad, Y.1
-
30
-
-
0042819709
-
Towards a tighter coupling of bottom-up and top-down sparse matrix ordering methods
-
J. SCHULZE, Towards a tighter coupling of bottom-up and top-down sparse matrix ordering methods, BIT, 41 (2001), pp. 800-841.
-
(2001)
BIT
, vol.41
, pp. 800-841
-
-
Schulze, J.1
-
31
-
-
84937995839
-
Direct solutions of sparse network equations by optimally ordered triangular factorization
-
W. F. TINNEY AND J. W. WALKER, Direct solutions of sparse network equations by optimally ordered triangular factorization, in Proc. IEEE, 55 (1967), pp. 1801-1809.
-
(1967)
Proc. IEEE
, vol.55
, pp. 1801-1809
-
-
Tinney, W.F.1
Walker, J.W.2
-
32
-
-
0001481227
-
Use of iterative refinement in the solution of sparse linear systems
-
Z. ZLATEV, Use of iterative refinement in the solution of sparse linear systems, SIAM J. Numer. Anal., 19 (1982), pp. 381-399.
-
(1982)
SIAM J. Numer. Anal.
, vol.19
, pp. 381-399
-
-
Zlatev, Z.1
|