-
1
-
-
84945892655
-
A recursive formulation of the inversion of symmetric positive definite matrices in packed storage data format
-
Proceedings of the Applied Parallel Computing New Paradigms for HPC in Industry and Academia 7th International Workshop PARA'02, Springer
-
ANDERSEN, B. S., GUNNELS, J. A., GUSTAVSON, F. G., AND WASNIEWSKI, J. 2002. A recursive formulation of the inversion of symmetric positive definite matrices in packed storage data format. In Proceedings of the Applied Parallel Computing New Paradigms for HPC in Industry and Academia 7th International Workshop (PARA'02) . Lecture Notes in Computer Science, vol. 2367. Springer, 287-296.
-
(2002)
Lecture Notes in Computer Science
, vol.2367
, pp. 287-296
-
-
ANDERSEN, B.S.1
GUNNELS, J.A.2
GUSTAVSON, F.G.3
WASNIEWSKI, J.4
-
2
-
-
0003706460
-
-
3rd Ed. Society for Industrial Mathematics
-
ANDERSON, E., BAI, Z., BISCHOF, C. H., BLACKFORD, S., DEMMEL, J. W., DONGARRA, J. J., CROZ, J. J. D., GREENBAUM, A., HAMMARLING, S. J., MCKENNEY, A., AND SORENSEN, D. C. 1999. LAPACK Users' Guide, 3rd Ed. Society for Industrial Mathematics.
-
(1999)
LAPACK Users' Guide
-
-
ANDERSON, E.1
BAI, Z.2
BISCHOF, C.H.3
BLACKFORD, S.4
DEMMEL, J.W.5
DONGARRA, J.J.6
CROZ, J.J.D.7
GREENBAUM, A.8
HAMMARLING, S.J.9
MCKENNEY, A.10
SORENSEN, D.C.11
-
3
-
-
48849086159
-
-
BAUER, F. L. AND REINSCH, C. 1970. Inversion of positive definite matrices by the Gauss-Jordan methods. In Handbook for Automatic Computation 2: Linear Algebra, J. H. Wilkinson and C. Reinsch, Eds. Springer, Berlin, Germany, 45-49.
-
BAUER, F. L. AND REINSCH, C. 1970. Inversion of positive definite matrices by the Gauss-Jordan methods. In Handbook for Automatic Computation Vol. 2: Linear Algebra, J. H. Wilkinson and C. Reinsch, Eds. Springer, Berlin, Germany, 45-49.
-
-
-
-
5
-
-
17644412337
-
-
BIENTINESI, P., GUNNELS, J. A., MYERS, M. E., QUINTANA-ORTÍ, E. S., AND VAN DE GEIJN, R. A. 2005a. The science of deriving dense linear algebra algorithms. ACM Trans. Math. Softw. 31, 1, 1-26.
-
BIENTINESI, P., GUNNELS, J. A., MYERS, M. E., QUINTANA-ORTÍ, E. S., AND VAN DE GEIJN, R. A. 2005a. The science of deriving dense linear algebra algorithms. ACM Trans. Math. Softw. 31, 1, 1-26.
-
-
-
-
6
-
-
48849100710
-
-
BIENTINESI, P., GUNTER, B., AND VAN DE GEIJN, R. 2006. Families of algorithms related to the inversion of a symmetric positive definite matrix. FLAME Working Note #19 CS-TR-06-20, Department of Computer Sciences, The University of Texas at Austin.
-
BIENTINESI, P., GUNTER, B., AND VAN DE GEIJN, R. 2006. Families of algorithms related to the inversion of a symmetric positive definite matrix. FLAME Working Note #19 CS-TR-06-20, Department of Computer Sciences, The University of Texas at Austin.
-
-
-
-
7
-
-
17644370328
-
-
BIENTINESI, P., QUINTANA-ORTÍ, E. S., AND VAN DE GEIJN, R. A. 2005b. Representing linear algebra algorithms in code: The FLAME application programming interfaces. ACM Trans. Math. Softw. 31, 1.
-
BIENTINESI, P., QUINTANA-ORTÍ, E. S., AND VAN DE GEIJN, R. A. 2005b. Representing linear algebra algorithms in code: The FLAME application programming interfaces. ACM Trans. Math. Softw. 31, 1.
-
-
-
-
8
-
-
48849101649
-
-
BIENTINESI, P. AND VAN DE GEIJN, R. 2006. Representing dense linear algebra algorithms: A farewell to indices. FLAME Working Note #17 CS-TR-06-10, Department of Computer Sciences, The University of Texas at Austin.
-
BIENTINESI, P. AND VAN DE GEIJN, R. 2006. Representing dense linear algebra algorithms: A farewell to indices. FLAME Working Note #17 CS-TR-06-10, Department of Computer Sciences, The University of Texas at Austin.
-
-
-
-
9
-
-
0030661485
-
Optimizing matrix multiply using PHiPAC: A portable, high-performance, ANSI C coding methodology
-
Vienna, Austria
-
BILMES, J., ASANOVIĆ, K., WHYE CHIN, C., AND DEMMEL, J. 1997. Optimizing matrix multiply using PHiPAC: A portable, high-performance, ANSI C coding methodology. In Proceedings of the International Conference on Supercomputing. Vienna, Austria.
-
(1997)
Proceedings of the International Conference on Supercomputing
-
-
BILMES, J.1
ASANOVIĆ, K.2
WHYE CHIN, C.3
DEMMEL, J.4
-
10
-
-
48849092503
-
-
BLACKFORD, L. S., CHOI, J., CLEARY, A., D'AZEVEDO, E., DEMMEL, J., DHILLON, I., DONGARRA, J., HAMMARLING, S., HENRY, G., PETITET, A., STANLEY, K., WALKER, D., AND WHALEY, R. C. 1997. ScaLAPACK Users' Guide. SIAM.
-
BLACKFORD, L. S., CHOI, J., CLEARY, A., D'AZEVEDO, E., DEMMEL, J., DHILLON, I., DONGARRA, J., HAMMARLING, S., HENRY, G., PETITET, A., STANLEY, K., WALKER, D., AND WHALEY, R. C. 1997. ScaLAPACK Users' Guide. SIAM.
-
-
-
-
11
-
-
0002924772
-
ScaLAPACK: A Scalable Linear Algebra Library for Distributed Memory Concurrent Computers
-
IEEE Computer Society Press
-
CHOI, J., DONGARRA, J., POZO, R., AND WALKER, D. 1992. ScaLAPACK: A Scalable Linear Algebra Library for Distributed Memory Concurrent Computers. In Proceedings of the 4th Symposium on the Frontiers of Massively Parallel Computation. IEEE Computer Society Press, 120-127.
-
(1992)
Proceedings of the 4th Symposium on the Frontiers of Massively Parallel Computation
, pp. 120-127
-
-
CHOI, J.1
DONGARRA, J.2
POZO, R.3
WALKER, D.4
-
12
-
-
0031221523
-
-
CHTCHELKANOVA, A., GUNNELS, J., MORROW, G., OVERFELT, J., AND VAN DE GEIJN, R. 1997. Parallel implementation of BLAS: General techniques for level 3 BLAS. Concurrency: Prac. Exper. 9, 9, 837-857.
-
CHTCHELKANOVA, A., GUNNELS, J., MORROW, G., OVERFELT, J., AND VAN DE GEIJN, R. 1997. Parallel implementation of BLAS: General techniques for level 3 BLAS. Concurrency: Prac. Exper. 9, 9, 837-857.
-
-
-
-
13
-
-
84947908487
-
A hierarchical approach for performance analysis of scaLAPACK-based routines using the distributed linear algebra machine
-
Proceedings of the 3rd International Workshop on Applied Parallel Computing, Industrial Computation and Optimization PARA'96, Springer-Verlag
-
DACKLAND, K. AND KÅGSTRÖM, B. 1996. A hierarchical approach for performance analysis of scaLAPACK-based routines using the distributed linear algebra machine. In Proceedings of the 3rd International Workshop on Applied Parallel Computing, Industrial Computation and Optimization (PARA'96). Lecture Notes in Computer Science, vol. 1184. Springer-Verlag, 186-195.
-
(1996)
Lecture Notes in Computer Science
, vol.1184
, pp. 186-195
-
-
DACKLAND, K.1
KÅGSTRÖM, B.2
-
15
-
-
0025402476
-
A set of level 3 basic linear algebra subprograms
-
DONGARRA, J., DU CROZ, J., HAMMARLING, S., AND DUFF, I. 1990. A set of level 3 basic linear algebra subprograms. ACM Trans. Math. Softw. 16, 1, 1-17.
-
(1990)
ACM Trans. Math. Softw
, vol.16
, Issue.1
, pp. 1-17
-
-
DONGARRA, J.1
DU CROZ, J.2
HAMMARLING, S.3
DUFF, I.4
-
16
-
-
0023983122
-
An extended set of FORTRAN basic linear algebra subprograms
-
DONGARRA, J., DU CROZ, J., HAMMARLING, S., AND HANSON, R. 1988. An extended set of FORTRAN basic linear algebra subprograms. ACM Trans. Math. Softw. 14, 1, 1-17.
-
(1988)
ACM Trans. Math. Softw
, vol.14
, Issue.1
, pp. 1-17
-
-
DONGARRA, J.1
DU CROZ, J.2
HAMMARLING, S.3
HANSON, R.4
-
17
-
-
48849088674
-
-
DONGARRA, J., DUFF, I., SORENSEN, D., AND VAN DER VORST, H. A. 1991. Solving Linear Systems on Vector and Shared Memory Computers. SIAM, Philadelphia, PA.
-
DONGARRA, J., DUFF, I., SORENSEN, D., AND VAN DER VORST, H. A. 1991. Solving Linear Systems on Vector and Shared Memory Computers. SIAM, Philadelphia, PA.
-
-
-
-
18
-
-
84944035998
-
Inversion of symmetric matrices in a new block packed storage
-
Springer
-
GEORGIEVA, G., GUSTAVSON, F. G., AND YALAMOV, P. Y. 2000. Inversion of symmetric matrices in a new block packed storage. In Proceedings of the 2nd International Conference on Numerical Analysis and Its Applications (NAA'00). Springer, 333-340.
-
(2000)
Proceedings of the 2nd International Conference on Numerical Analysis and Its Applications (NAA'00)
, pp. 333-340
-
-
GEORGIEVA, G.1
GUSTAVSON, F.G.2
YALAMOV, P.Y.3
-
19
-
-
44249094647
-
-
GOTO, K. AND VAN DE GEIJN, R. 2008. Anatomy of high-performance matrix multiplication. ACM Trans. Math. Softw. 34, 3.
-
GOTO, K. AND VAN DE GEIJN, R. 2008. Anatomy of high-performance matrix multiplication. ACM Trans. Math. Softw. 34, 3.
-
-
-
-
20
-
-
48849102690
-
-
GOTO, K. AND VAN DE GEIJN, R. A. 2002. On reducing TLB misses in matrix multiplication. Tech. rep. CS-TR-02-55, Department of Computer Sciences, The University of Texas at Austin.
-
GOTO, K. AND VAN DE GEIJN, R. A. 2002. On reducing TLB misses in matrix multiplication. Tech. rep. CS-TR-02-55, Department of Computer Sciences, The University of Texas at Austin.
-
-
-
-
22
-
-
0003608618
-
User's guide for mpich, a portable implementation of MPI
-
Tech. rep. ANL-06/6, Argonne National Laboratory
-
GROPP, W. AND LUSK, E. 1994. User's guide for mpich, a portable implementation of MPI. Tech. rep. ANL-06/6, Argonne National Laboratory.
-
(1994)
-
-
GROPP, W.1
LUSK, E.2
-
24
-
-
11944253937
-
Estimation of the parameter covariance matrix for a one-compartment cardiac perfusion model estimated from a dynamic sequence reconstructed using map iterative reconstruction algorithms
-
IEEE
-
GULLBERG, G., HUESMAN, R., ROY, D. G., QI, J., AND REUTTER, B. 2003. Estimation of the parameter covariance matrix for a one-compartment cardiac perfusion model estimated from a dynamic sequence reconstructed using map iterative reconstruction algorithms. In Nuclear Science Symposium Conference Record. vol. 5. IEEE, 3019-3023.
-
(2003)
Nuclear Science Symposium Conference Record
, vol.5
, pp. 3019-3023
-
-
GULLBERG, G.1
HUESMAN, R.2
ROY, D.G.3
QI, J.4
REUTTER, B.5
-
26
-
-
84949665448
-
-
GUNNELS, J. A., GUSTAVSON, F. G., HENRY, G. M., AND VAN DE GEIJN, R. A. 2001a. A family of highperformance matrix multiplication algorithms. In Computational Science (ICCS'01), Part I, V. N. Alexandrov, J. J. Dongarra, B. A. Juliano, R. S. Renner, and C. K. Tan, Eds. Lecture Notes in Computer Science, 2073. Springer-Verlag, 51-60.
-
GUNNELS, J. A., GUSTAVSON, F. G., HENRY, G. M., AND VAN DE GEIJN, R. A. 2001a. A family of highperformance matrix multiplication algorithms. In Computational Science (ICCS'01), Part I, V. N. Alexandrov, J. J. Dongarra, B. A. Juliano, R. S. Renner, and C. K. Tan, Eds. Lecture Notes in Computer Science, vol. 2073. Springer-Verlag, 51-60.
-
-
-
-
27
-
-
0035789206
-
-
GUNNELS, J. A., KATZ, D. S., QUINTANA- ORTÍ, E. S., AND VAN DE GEIJN, R. A. 2001b. Fault-tolerant high-performance matrix multiplication: Theory and practice. In Proceedings of the International Conference for Dependable Systems and Networks (DSN'01). 47-56.
-
GUNNELS, J. A., KATZ, D. S., QUINTANA- ORTÍ, E. S., AND VAN DE GEIJN, R. A. 2001b. Fault-tolerant high-performance matrix multiplication: Theory and practice. In Proceedings of the International Conference for Dependable Systems and Networks (DSN'01). 47-56.
-
-
-
-
29
-
-
0000667923
-
The torus-wrap mapping for dense matrix calculations on massively parallel computers
-
HENDRICKSON, B. AND WOMBLE, D. 1994. The torus-wrap mapping for dense matrix calculations on massively parallel computers. SIAM J. Sci. Stat. Comput. 15, 5, 1201-1226.
-
(1994)
SIAM J. Sci. Stat. Comput
, vol.15
, Issue.5
, pp. 1201-1226
-
-
HENDRICKSON, B.1
WOMBLE, D.2
-
32
-
-
0032793174
-
Analytical propagation of errors in dynamic SPECT: Estimators, degrading factors, bias and noise
-
HUESMAN, R., KADRMAS, D., DIBELLA, E., AND GULLBERG, G. 1999. Analytical propagation of errors in dynamic SPECT: estimators, degrading factors, bias and noise. Phys. Med. Biol. 44, 1999-2014.
-
(1999)
Phys. Med. Biol
, vol.44
, pp. 1999-2014
-
-
HUESMAN, R.1
KADRMAS, D.2
DIBELLA, E.3
GULLBERG, G.4
-
33
-
-
19044380439
-
Recursive blocked algorithms for solving triangular systems - part I: One-sided and coupled Sylvester-type matrix equations
-
JONSSON, I. AND KÅGSTRÖM, B. 2002a. Recursive blocked algorithms for solving triangular systems - part I: One-sided and coupled Sylvester-type matrix equations. ACM Trans. Math. Softw. 28 4, 392-415.
-
(2002)
ACM Trans. Math. Softw
, vol.28
, Issue.4
, pp. 392-415
-
-
JONSSON, I.1
KÅGSTRÖM, B.2
-
34
-
-
19044400922
-
Recursive blocked algorithms for solving triangular systems - part II: Two-sided and generalized Sylvester and Lyapunov matrix equations
-
JONSSON, I. AND KÅGSTRÖM, B. 2002b. Recursive blocked algorithms for solving triangular systems - part II: Two-sided and generalized Sylvester and Lyapunov matrix equations. ACM Trans. Math. Softw. 28, 4, 416-435.
-
(2002)
ACM Trans. Math. Softw
, vol.28
, Issue.4
, pp. 416-435
-
-
JONSSON, I.1
KÅGSTRÖM, B.2
-
35
-
-
0032155271
-
GEMM-based level 3 BLAS: High performance model implementations and performance evaluation benchmark
-
KÅGSTRÖM, B., LING, P., AND LOAN, C. V. 1998. GEMM-based level 3 BLAS: High performance model implementations and performance evaluation benchmark. ACM Trans. Math. Softw. 24, 3, 268-302.
-
(1998)
ACM Trans. Math. Softw
, vol.24
, Issue.3
, pp. 268-302
-
-
KÅGSTRÖM, B.1
LING, P.2
LOAN, C.V.3
-
36
-
-
85140866250
-
-
QUINTANA, E. S., QUINTANA, G., SUN, X., AND VAN DE GEIJN, R. 2001. A note on parallel matrix inversion. SIAM J. Sci. Comput. 22, 5, 1762-1771.
-
QUINTANA, E. S., QUINTANA, G., SUN, X., AND VAN DE GEIJN, R. 2001. A note on parallel matrix inversion. SIAM J. Sci. Comput. 22, 5, 1762-1771.
-
-
-
-
37
-
-
0346323862
-
-
SANSO, R. AND RUMMEL, R, Eds, Springer-Verlag, Berlin, Germany
-
SANSO, R. AND RUMMEL, R., Eds. 1989. Theory of satellite geodesy and gravity field determination. Lecture Notes in Earth Sciences, vol. 25. Springer-Verlag, Berlin, Germany.
-
(1989)
Theory of satellite geodesy and gravity field determination. Lecture Notes in Earth Sciences
, vol.25
-
-
-
38
-
-
0003710740
-
-
The MIT Press
-
SNIR, M., OTTO, S. W., HUSS-LEDERMAN, S., WALKER, D. W., AND DONGARRA, J. 1996. MPI: The Complete Reference. The MIT Press.
-
(1996)
MPI: The Complete Reference
-
-
SNIR, M.1
OTTO, S.W.2
HUSS-LEDERMAN, S.3
WALKER, D.W.4
DONGARRA, J.5
-
39
-
-
0025521855
-
Communication and matrix computations on large message passing systems
-
STEWART, G. 1990. Communication and matrix computations on large message passing systems. Para. Comput. 16, 27-40.
-
(1990)
Para. Comput
, vol.16
, pp. 27-40
-
-
STEWART, G.1
|