-
1
-
-
0033884893
-
Multifrontal parallel distributed symmetric and unsymmetric solvers
-
AMESTOY, P. R., DUFF, I. S., AND L'EXCELLENT, J.-Y. 2000. Multifrontal parallel distributed symmetric and unsymmetric solvers. Comput. Meth. Appl. Mech. Eng. 184, 501-520.
-
(2000)
Comput. Meth. Appl. Mech. Eng
, vol.184
, pp. 501-520
-
-
AMESTOY, P.R.1
DUFF, I.S.2
L'EXCELLENT, J.-Y.3
-
2
-
-
0036060795
-
A fully asynchronous multifrontal solver using distributed dynamic scheduling
-
AMESTOY, P. R., DUFF, I. S., L'EXCELLENT, J.-Y., AND KOSTER, J. 2001. A fully asynchronous multifrontal solver using distributed dynamic scheduling. SIAM J. Matrix Anal. Appl. 23, 15-41.
-
(2001)
SIAM J. Matrix Anal. Appl
, vol.23
, pp. 15-41
-
-
AMESTOY, P.R.1
DUFF, I.S.2
L'EXCELLENT, J.-Y.3
KOSTER, J.4
-
3
-
-
31044439817
-
Hybrid scheduling for the parallel solution of linear systems
-
AMESTOY, P. R., GUERMOUCHE, A., L'EXCELLENT, J.-Y., AND PRALET, S. 2006. Hybrid scheduling for the parallel solution of linear systems. Paral. Comput. 32, 136-156.
-
(2006)
Paral. Comput
, vol.32
, pp. 136-156
-
-
AMESTOY, P.R.1
GUERMOUCHE, A.2
L'EXCELLENT, J.-Y.3
PRALET, S.4
-
4
-
-
0003706460
-
-
3rd Ed. Society for Industrial and Applied Mathematics, Philadelphia, PA
-
ANDERSON, E., BAI, Z., BISCHOF, C., BLACKFORD, S. L., DEMMEL, J. W., DONGARRA, J. J., CROZ, J. D., GREENBAUM, A., HAMMARLING, S., MCKENNEY, A., AND SORENSEN, D. C. 1999. LAPACK User's Guide 3rd Ed. Society for Industrial and Applied Mathematics, Philadelphia, PA.
-
(1999)
LAPACK User's Guide
-
-
ANDERSON, E.1
BAI, Z.2
BISCHOF, C.3
BLACKFORD, S.L.4
DEMMEL, J.W.5
DONGARRA, J.J.6
CROZ, J.D.7
GREENBAUM, A.8
HAMMARLING, S.9
MCKENNEY, A.10
SORENSEN, D.C.11
-
5
-
-
84972716214
-
Progress in sparse matrix methods in large sparse linear systems on vector supercomputers
-
ASHCRAFT, C., GRIMES, R., LEWIS, J., PEYTON, B. W., AND SIMON, H. 1987. Progress in sparse matrix methods in large sparse linear systems on vector supercomputers. Intern. J. of Super-comput. Appl. 1, 10-30.
-
(1987)
Intern. J. of Super-comput. Appl
, vol.1
, pp. 10-30
-
-
ASHCRAFT, C.1
GRIMES, R.2
LEWIS, J.3
PEYTON, B.W.4
SIMON, H.5
-
6
-
-
0001116752
-
A black box generalized conjugate gradient solver with inner iterations and variable-step preconditioning
-
AXELSSON, O. AND VASSILEVSKI, P. S. 1991. A black box generalized conjugate gradient solver with inner iterations and variable-step preconditioning. SIAM J. Matrix Anal. Appl. 12, 4, 625-644.
-
(1991)
SIAM J. Matrix Anal. Appl
, vol.12
, Issue.4
, pp. 625-644
-
-
AXELSSON, O.1
VASSILEVSKI, P.S.2
-
7
-
-
33845274917
-
-
BALAY, S., BUSCHELMAN, K., GROPP, W. D., KAUSHIK, D., KNEPLEY, M. G., MCINNES, L. C., SMITH, B. F., AND ZHANG, H. 2001. PETSc Web page. http://www.mcs.anl.gov/petsc.
-
(2001)
PETSc Web page
-
-
BALAY, S.1
BUSCHELMAN, K.2
GROPP, W.D.3
KAUSHIK, D.4
KNEPLEY, M.G.5
MCINNES, L.C.6
SMITH, B.F.7
ZHANG, H.8
-
8
-
-
48249146098
-
-
BARRETT, R., BERRY, M., CHAN, T. F., DEMMEL, J., DONATO, J. M., DONGARRA, J., EIJKHOUT, V., POZO, R., ROMINE, C., AND DER VORST, H. V. 1994. Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods. Society for Industrial and Applied Mathematics, Philadelphia, PA. http://www.netlib.org/templates/Templates.html.
-
BARRETT, R., BERRY, M., CHAN, T. F., DEMMEL, J., DONATO, J. M., DONGARRA, J., EIJKHOUT, V., POZO, R., ROMINE, C., AND DER VORST, H. V. 1994. Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods. Society for Industrial and Applied Mathematics, Philadelphia, PA. http://www.netlib.org/templates/Templates.html.
-
-
-
-
9
-
-
0012094472
-
Iterative refinement and reliable computing
-
M. G. Cox and S. Hammarling, Eds. Oxford University Press, Oxford, UK
-
BJÖRCK, A. 1990. Iterative refinement and reliable computing. In Reliable Numerical Computation, M. G. Cox and S. Hammarling, Eds. Oxford University Press, Oxford, UK, 249-266.
-
(1990)
Reliable Numerical Computation
, pp. 249-266
-
-
BJÖRCK, A.1
-
10
-
-
48249100035
-
-
BUTTARI, A., DONGARRA, J., KURZAK, J., LUSZCZEK, P., AND TOMOV, S. 2006. Computations to enhance the performance while achieving the 64-bit accuracy. Tech. rep. UT-CS-06-584, University of Tennessee Knoxville. LAPACK Working Note 180.
-
BUTTARI, A., DONGARRA, J., KURZAK, J., LUSZCZEK, P., AND TOMOV, S. 2006. Computations to enhance the performance while achieving the 64-bit accuracy. Tech. rep. UT-CS-06-584, University of Tennessee Knoxville. LAPACK Working Note 180.
-
-
-
-
11
-
-
0001946784
-
A combined unifrontal/multifrontal method for unsymmetric sparse matrices
-
DAVIS, T. A. 1999. A combined unifrontal/multifrontal method for unsymmetric sparse matrices. ACM Trans. Math. Softw. 25, 1-19.
-
(1999)
ACM Trans. Math. Softw
, vol.25
, pp. 1-19
-
-
DAVIS, T.A.1
-
12
-
-
2942655475
-
A column pre-ordering strategy for the unsymmetric-pattern multifrontal method
-
DAVIS, T. A. 2004. A column pre-ordering strategy for the unsymmetric-pattern multifrontal method. ACM Trans. Math. Softw. 30, 196-199.
-
(2004)
ACM Trans. Math. Softw
, vol.30
, pp. 196-199
-
-
DAVIS, T.A.1
-
13
-
-
20744452904
-
Self-adapting linear algebra algorithms and software
-
DEMMEL, J., DONGARRA, J., EIJKHOUT, V., FUENTES, E., PETITET, A., VUDUC, R., WHALEY, R. C., AND YELICK, K. 2005. Self-adapting linear algebra algorithms and software. Proc. IEEE 93, 2. http://www.spiral.net/ieee- special-issue/overview.html.
-
(2005)
Proc. IEEE
, vol.93
, pp. 2
-
-
DEMMEL, J.1
DONGARRA, J.2
EIJKHOUT, V.3
FUENTES, E.4
PETITET, A.5
VUDUC, R.6
WHALEY, R.C.7
YELICK, K.8
-
14
-
-
0003424372
-
-
Society for Industrial and Applied Mathematics, Philadelphia, PA
-
DEMMEL, J. W. 1997. Applied Numerical Linear Algebra. Society for Industrial and Applied Mathematics, Philadelphia, PA.
-
(1997)
Applied Numerical Linear Algebra
-
-
DEMMEL, J.W.1
-
15
-
-
0033239808
-
A supernodal approach to sparse partial pivoting
-
DEMMEL, J. W., EISENSTAT, S. C., GILBERT, J. R., Li, X. S., AND LIU, J. W. H. 1999a. A supernodal approach to sparse partial pivoting. SIAM J. Matrix Anal. Appl. 20, 3, 720-755.
-
(1999)
SIAM J. Matrix Anal. Appl
, vol.20
, Issue.3
, pp. 720-755
-
-
DEMMEL, J.W.1
EISENSTAT, S.C.2
GILBERT, J.R.3
Li, X.S.4
LIU, J.W.H.5
-
16
-
-
0033242228
-
A asynchronous parallel supernodal algorithm for sparse gaussian elimination
-
DEMMEL, J. W., GILBERT, J. R., AND LI, X. S. 1999b. A asynchronous parallel supernodal algorithm for sparse gaussian elimination. SIAM J. Matrix Anal. Appl. 20, 3, 915-952.
-
(1999)
SIAM J. Matrix Anal. Appl
, vol.20
, Issue.3
, pp. 915-952
-
-
DEMMEL, J.W.1
GILBERT, J.R.2
LI, X.S.3
-
17
-
-
48249134675
-
No. 4, Article 17, Pub. date
-
ACM Transactions on Mathematical Software, July
-
ACM Transactions on Mathematical Software, Vol. 34, No. 4, Article 17, Pub. date: July 2008.
-
(2008)
-
-
-
18
-
-
48249127530
-
-
DONGARRA, J. J. AND EIJKHOUT, V. 2002. Self-adapting numerical software for next generation applications. Tech. rep. ICL-UT-02-07, Innovative Computing Lab, University of Tennessee, La-pack Working Note 157. http://icl.cs.utk.edu/iclprojects/pages/sans.html.
-
DONGARRA, J. J. AND EIJKHOUT, V. 2002. Self-adapting numerical software for next generation applications. Tech. rep. ICL-UT-02-07, Innovative Computing Lab, University of Tennessee, La-pack Working Note 157. http://icl.cs.utk.edu/iclprojects/pages/sans.html.
-
-
-
-
19
-
-
0020822138
-
The multifrontal solution of indefinite sparse symmetric linear equations
-
DUFF, I. S. AND REID, J. K. 1983. The multifrontal solution of indefinite sparse symmetric linear equations. ACM Trans. Math. Softw. 9, 3, 302-325.
-
(1983)
ACM Trans. Math. Softw
, vol.9
, Issue.3
, pp. 302-325
-
-
DUFF, I.S.1
REID, J.K.2
-
20
-
-
0031541111
-
An unsymmetric-pattern multifrontal method for sparse LU factorization
-
DUFF, T A. D. I. S. 1997. An unsymmetric-pattern multifrontal method for sparse LU factorization. SIAMJ. Matrix Anal. Appl. 18, 140-158.
-
(1997)
SIAMJ. Matrix Anal. Appl
, vol.18
, pp. 140-158
-
-
DUFF, T.A.D.I.S.1
-
21
-
-
0038718852
-
The tortoise and the hare restart gmres
-
EMBREE, M. 2003. The tortoise and the hare restart gmres. SIAM Rev. 45, 259-266.
-
(2003)
SIAM Rev
, vol.45
, pp. 259-266
-
-
EMBREE, M.1
-
23
-
-
48249124525
-
-
GODDEKE, D., STRZODKA, R., AND TUREK, S. 2005. Accelerating double precision FEM simulations with GPUs. In Simulationstechnique 18th Symposium in Erlangen. F. Hülsemann, M. Kowarschik, and U. Rude, Eds. Frontiers in Simulation. SCS Publishing House e.V., 139-144.
-
GODDEKE, D., STRZODKA, R., AND TUREK, S. 2005. Accelerating double precision FEM simulations with GPUs. In Simulationstechnique 18th Symposium in Erlangen. F. Hülsemann, M. Kowarschik, and U. Rude, Eds. Vol. Frontiers in Simulation. SCS Publishing House e.V., 139-144.
-
-
-
-
24
-
-
0004236492
-
-
2nd Ed. Johns Hopkins University Press, Baltimore, MD
-
GOLUB, G. H. AND LOAN, C. F. V. 1989. Matrix Computations 2nd Ed. Johns Hopkins University Press, Baltimore, MD.
-
(1989)
Matrix Computations
-
-
GOLUB, G.H.1
LOAN, C.F.V.2
-
25
-
-
0033293064
-
Inexact preconditioned conjugate gradient method with innerouter iteration
-
GOLUB, G. H. AND Ye, Q. 2000. Inexact preconditioned conjugate gradient method with innerouter iteration. SIAMJ. Scie. Comput. 21, 4, 1305-1320.
-
(2000)
SIAMJ. Scie. Comput
, vol.21
, Issue.4
, pp. 1305-1320
-
-
GOLUB, G.H.1
Ye, Q.2
-
26
-
-
48249109471
-
-
GROPP, W. D., KAUSHIK, D. K., KEYES, D. E., AND SMITH, B. F. 2000. Latency, bandwidth, and concurrent issue limitations in high-performance CFD. Tech. rep. ANL/MCS-P850-1000, Argonne National Laboratory.
-
GROPP, W. D., KAUSHIK, D. K., KEYES, D. E., AND SMITH, B. F. 2000. Latency, bandwidth, and concurrent issue limitations in high-performance CFD. Tech. rep. ANL/MCS-P850-1000, Argonne National Laboratory.
-
-
-
-
27
-
-
0035276480
-
High-performance parallel implicit CFD
-
GROPP, W. D., KAUSHIK, D. K., KEYES, D. E., AND SMITH, B. F. 2001. High-performance parallel implicit CFD. Parall. Comput. 27, 4, 337-362.
-
(2001)
Parall. Comput
, vol.27
, Issue.4
, pp. 337-362
-
-
GROPP, W.D.1
KAUSHIK, D.K.2
KEYES, D.E.3
SMITH, B.F.4
-
29
-
-
0003360974
-
Multigrid Methods and Applications
-
Springer-Verlag, Berlin, Germany
-
HACKBUSCH, W. 1985. Multigrid Methods and Applications. Springer Series in Computational Mathematics, Vol. 4, Springer-Verlag, Berlin, Germany.
-
(1985)
Springer Series in Computational Mathematics
, vol.4
-
-
HACKBUSCH, W.1
-
31
-
-
34548206782
-
Exploiting the performance of 32-bit floating point arithmetic in obtaining 64 bit accuracy
-
Tampa, FL
-
LANGOU, J., LANGOU, J., LUSZCZEK, P., KURZAK, J., BUTTARI, A., AND DONGARRA, J. 2006. Exploiting the performance of 32-bit floating point arithmetic in obtaining 64 bit accuracy. In Proceedings of the ACM / IEEE Conference on High Performance Networking and Computing (SC'06). Tampa, FL. http://icl.cs.utk.edu/iter-ref.
-
(2006)
Proceedings of the ACM / IEEE Conference on High Performance Networking and Computing (SC'06)
-
-
LANGOU, J.1
LANGOU, J.2
LUSZCZEK, P.3
KURZAK, J.4
BUTTARI, A.5
DONGARRA, J.6
-
32
-
-
48249134304
-
-
Ph.D. thesis, Computer Science Department, University of California at Berkeley
-
LI, X. S. 1996. SuperLU software, Ph.D. thesis, Computer Science Department, University of California at Berkeley. http://www.nersc.gov/xiaoye/ SuperLU/.
-
(1996)
SuperLU software
-
-
LI, X.S.1
-
33
-
-
0038621899
-
SuperLU-DIST: A scalable distributed-memory sparse direct solver for unsymmetric linear systems
-
LI, X. S. AND DEMMEL, J. W. 2003. SuperLU-DIST: A scalable distributed-memory sparse direct solver for unsymmetric linear systems. ACM Trans. Math. Softw. 29, 110-140.
-
(2003)
ACM Trans. Math. Softw
, vol.29
, pp. 110-140
-
-
LI, X.S.1
DEMMEL, J.W.2
-
34
-
-
0001467517
-
Iterative refinement in floating point
-
MOLER, C. B. 1967. Iterative refinement in floating point. J. ACM 14, 2, 316-321.
-
(1967)
J. ACM
, vol.14
, Issue.2
, pp. 316-321
-
-
MOLER, C.B.1
-
35
-
-
0034880095
-
Flexible conjugate gradients
-
NOTAY, Y. 2000. Flexible conjugate gradients. SIAMJ. Scie. Comput. 22, 1444-1460.
-
(2000)
SIAMJ. Scie. Comput
, vol.22
, pp. 1444-1460
-
-
NOTAY, Y.1
-
37
-
-
18744400955
-
A flexible inner-outer preconditioned GMRES algorithm
-
Tech. rep. 91-279, Department of Computer Science and Egineering, University of Minnesota, Minneapolis, MN
-
SAAD, Y. 1991. A flexible inner-outer preconditioned GMRES algorithm. Tech. rep. 91-279, Department of Computer Science and Egineering, University of Minnesota, Minneapolis, MN
-
(1991)
-
-
SAAD, Y.1
-
38
-
-
1842829625
-
-
Society for Industrial and Applied Mathematics, Philadelphia, PA
-
SAAD, Y. 2003. Iterative Methods for Sparse Linear Systems. Society for Industrial and Applied Mathematics, Philadelphia, PA.
-
(2003)
Iterative Methods for Sparse Linear Systems
-
-
SAAD, Y.1
-
39
-
-
0000048673
-
GMRES: A generalized minimal residual method for solving nonsymmetric linear systems
-
Saad, Y. AND Schultz, M. H. 1986. GMRES: A generalized minimal residual method for solving nonsymmetric linear systems. SIAMJ. Sci. Statist. Comput., 856-869.
-
(1986)
SIAMJ. Sci. Statist. Comput
, pp. 856-869
-
-
Saad, Y.1
Schultz, M.H.2
-
40
-
-
21344474772
-
DQGMRES: A direct quasi-minimal residual algorithm based on incomplete orthogonalization
-
Saad, Y. AND WAU, K. 1996. DQGMRES: a direct quasi-minimal residual algorithm based on incomplete orthogonalization. Num. Linear Algeb. Appl. 3, 4, 329-343.
-
(1996)
Num. Linear Algeb. Appl
, vol.3
, Issue.4
, pp. 329-343
-
-
Saad, Y.1
WAU, K.2
-
41
-
-
0142064936
-
Theory of inexact Krylov subspace methods and applications to scientific computing
-
Tech. rep. 02-4-12, Department of Mathematics, Temple University
-
SIMONCINI, V. AND SZYLD, D. 2002a. Theory of inexact Krylov subspace methods and applications to scientific computing. Tech. rep. 02-4-12, Department of Mathematics, Temple University.
-
(2002)
-
-
SIMONCINI, V.1
SZYLD, D.2
-
42
-
-
0347337972
-
Flexible inner-outer Krylov subspace methods
-
SIMONCINI, V. AND SZYLD, D. B. 2002b. Flexible inner-outer Krylov subspace methods. SIAMJ. Numer. Anal. 40, 6, 2219-2239.
-
(2002)
SIAMJ. Numer. Anal
, vol.40
, Issue.6
, pp. 2219-2239
-
-
SIMONCINI, V.1
SZYLD, D.B.2
-
43
-
-
20044382367
-
The effect of non-optimal bases on the convergence of Krylov subspace methods
-
SIMONCINI, V. AND SZYLD, D. B. 2005. The effect of non-optimal bases on the convergence of Krylov subspace methods. Numer. Math. 100, 4, 711-733.
-
(2005)
Numer. Math
, vol.100
, Issue.4
, pp. 711-733
-
-
SIMONCINI, V.1
SZYLD, D.B.2
-
44
-
-
0004094905
-
-
Society for Industrial and Applied Mathematics, Philadelphia, PA
-
STEWART, G. W. 2001. Matrix algorithms. Society for Industrial and Applied Mathematics, Philadelphia, PA.
-
(2001)
Matrix algorithms
-
-
STEWART, G.W.1
-
45
-
-
48249150668
-
-
STRZODKA, R. AND GÖDDEKE, D. 2006a. Mixed precision methods for convergent iterative schemes. EDGE'06, 23.-24. Chapel Hill, NC.
-
STRZODKA, R. AND GÖDDEKE, D. 2006a. Mixed precision methods for convergent iterative schemes. EDGE'06, 23.-24. Chapel Hill, NC.
-
-
-
-
46
-
-
34547415101
-
Pipelined mixed precision algorithms on FPGAs for fast and accurate PDE solvers from low precision components
-
IEEE Computer Society Press. To appear
-
STRZODKA, R. AND GÖDDEKE, D. 2006b. Pipelined mixed precision algorithms on FPGAs for fast and accurate PDE solvers from low precision components. In IEEE Proceedings on Field - Programmable Custom Computing Machines (FCCM'06). IEEE Computer Society Press. To appear.
-
(2006)
IEEE Proceedings on Field - Programmable Custom Computing Machines (FCCM'06)
-
-
STRZODKA, R.1
GÖDDEKE, D.2
-
47
-
-
0001996967
-
Efficient high accuracy solutions with gmres(m)
-
TURNER, K. AND WALKER, H. F. 1992. Efficient high accuracy solutions with gmres(m). SIAM J. Sci. Stat. Comput. 13, 3, 815-825.
-
(1992)
SIAM J. Sci. Stat. Comput
, vol.13
, Issue.3
, pp. 815-825
-
-
TURNER, K.1
WALKER, H.F.2
-
48
-
-
48249148677
-
-
VAN DEN ESHOF, J., SLEIJPEN, G. L. G., AND VAN GIJZEN, M. B. 2003. Relaxation strategies for nested Krylov methods. Technical report TR/PA/03/27, CERFACS, Toulouse, France.
-
VAN DEN ESHOF, J., SLEIJPEN, G. L. G., AND VAN GIJZEN, M. B. 2003. Relaxation strategies for nested Krylov methods. Technical report TR/PA/03/27, CERFACS, Toulouse, France.
-
-
-
-
49
-
-
84985336395
-
GMRESR: A family of nested GMRES methods
-
VAN DER VORST, H. A. AND VUIK, C. 1994. GMRESR: a family of nested GMRES methods. Num. Linear Algeb. Appl. 1, 4, 369-386.
-
(1994)
Num. Linear Algeb. Appl
, vol.1
, Issue.4
, pp. 369-386
-
-
VAN DER VORST, H.A.1
VUIK, C.2
-
50
-
-
0029425967
-
New insights in gmres-like methods with variable preconditioners
-
VUIK, C. 1995. New insights in gmres-like methods with variable preconditioners. J. Comput. Appl. Math. 61, 2, 189-204.
-
(1995)
J. Comput. Appl. Math
, vol.61
, Issue.2
, pp. 189-204
-
-
VUIK, C.1
|