메뉴 건너뛰기




Volumn 3514, Issue I, 2005, Pages 245-255

Multi-pass mapping schemes for parallel sparse matrix computations

Author keywords

[No Author keywords available]

Indexed keywords

FINITE ELEMENT METHOD; HEURISTIC METHODS; ITERATIVE METHODS; LINEAR SYSTEMS; MAPPING; MATRIX ALGEBRA; TREES (MATHEMATICS); FACTORIZATION; FORESTRY; MULTIPROCESSING SYSTEMS;

EID: 25144445313     PISSN: 03029743     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1007/11428831_31     Document Type: Conference Paper
Times cited : (2)

References (20)
  • 1
    • 0010154898 scopus 로고
    • A supernodal approach to sparse partial pivoting
    • Xerox Palo Alto Research Center
    • J. Demmel, S. C. Eisenstat, J. R. Gilbert, X. S. Li, and J. W. H. Liu. A supernodal approach to sparse partial pivoting. Technical Report CSL-94-14, Xerox Palo Alto Research Center, 1995.
    • (1995) Technical Report , vol.CSL-94-14
    • Demmel, J.1    Eisenstat, S.C.2    Gilbert, J.R.3    Li, X.S.4    Liu, J.W.H.5
  • 2
    • 0022754738 scopus 로고
    • Parallel implementation of multifrontal schemes
    • I.S. Duff. Parallel implementation of multifrontal schemes. Parallel Computing, 3:193-204, 1986.
    • (1986) Parallel Computing , vol.3 , pp. 193-204
    • Duff, I.S.1
  • 3
    • 0000114384 scopus 로고
    • An automatic nested dissection algorithm for irregular finite element problems
    • A. George and J. W. H. Liu. An automatic nested dissection algorithm for irregular finite element problems. SIAM J. Numer. Anal., 15:1053-1069, 1978.
    • (1978) SIAM J. Numer. Anal. , vol.15 , pp. 1053-1069
    • George, A.1    Liu, J.W.H.2
  • 5
    • 85055521808 scopus 로고    scopus 로고
    • A new scheduling algorithm for parallel sparse LU factorization with static pivoting
    • IEEE Computer Society Press
    • L. Grigori and X. S. Li. A new scheduling algorithm for parallel sparse LU factorization with static pivoting. In Proceedings of the 2002 ACM/IEEE conference on Supercomputing, pages 1-18. IEEE Computer Society Press, 2002.
    • (2002) Proceedings of the 2002 ACM/IEEE Conference on Supercomputing , pp. 1-18
    • Grigori, L.1    Li, X.S.2
  • 7
    • 25144435709 scopus 로고
    • Performance and scalability of preconditioned conjugate gradient methods on the CM-5
    • R. F Sincovec, D. E. Keyes, M. R. Leuze, L. R. Petzold, and D. A. Reed, editors, Philadephia, PA. SIAM Publications
    • A. Gupta, V. Kumar, and A. Sameh. Performance and scalability of preconditioned conjugate gradient methods on the CM-5. In R. F Sincovec, D. E. Keyes, M. R. Leuze, L. R. Petzold, and D. A. Reed, editors, Proceedings of the Sixth SIAM Conference on Parallel Processing for Scientific Computing, pages 664-674, Philadephia, PA, 1993. SIAM Publications.
    • (1993) Proceedings of the Sixth SIAM Conference on Parallel Processing for Scientific Computing , pp. 664-674
    • Gupta, A.1    Kumar, V.2    Sameh, A.3
  • 8
    • 0026219647 scopus 로고
    • Parallel algorithms for sparse linear systems
    • M. T. Heath, E. Ng, and B. W. Peyton. Parallel algorithms for sparse linear systems. SIAM Review, 33:420-460, 1991.
    • (1991) SIAM Review , vol.33 , pp. 420-460
    • Heath, M.T.1    Ng, E.2    Peyton, B.W.3
  • 9
    • 0031084227 scopus 로고    scopus 로고
    • Performance of a fully parallel sparse solver
    • M. T. Heath and P. Raghavan. Performance of a fully parallel sparse solver. Int. J. Supercomputing Appl., 11:49-64, 1997.
    • (1997) Int. J. Supercomputing Appl. , vol.11 , pp. 49-64
    • Heath, M.T.1    Raghavan, P.2
  • 10
    • 0001809440 scopus 로고
    • An improved incomplete Cholesky factorization
    • M. T. Jones and P. E. Plassman. An improved incomplete Cholesky factorization. ACM Trans. Math. Software, 21:5-17, 1995.
    • (1995) ACM Trans. Math. Software , vol.21 , pp. 5-17
    • Jones, M.T.1    Plassman, P.E.2
  • 11
    • 0003692957 scopus 로고
    • METIS: Unstructured graph partitioning and sparse matrix ordering system
    • Department of Computer Science, University of Minnesota, Minneapolis, MN
    • G. Karypis and V. Kumar. METIS: Unstructured graph partitioning and sparse matrix ordering system. Technical report, Department of Computer Science, University of Minnesota, Minneapolis, MN, 1995.
    • (1995) Technical Report
    • Karypis, G.1    Kumar, V.2
  • 12
    • 0001450272 scopus 로고
    • The role of elimination trees in sparse factorization
    • J. W. H. Liu. The role of elimination trees in sparse factorization. SIAM J. Matrix Anal. Appl., 11:134-172, 1990.
    • (1990) SIAM J. Matrix Anal. Appl. , vol.11 , pp. 134-172
    • Liu, J.W.H.1
  • 13
    • 0026840122 scopus 로고
    • The multifrontal method for sparse matrix solution: Theory and practice
    • J. W. H. Liu. The multifrontal method for sparse matrix solution: theory and practice. SIAM Review, 34:82-109, 1992.
    • (1992) SIAM Review , vol.34 , pp. 82-109
    • Liu, J.W.H.1
  • 14
    • 0000817412 scopus 로고
    • A supernodal Cholesky factorization algorithm for shared-memory multiprocessors
    • E. Ng and B. W. Peyton. A supernodal Cholesky factorization algorithm for shared-memory multiprocessors. SIAM J. Sci. Comput., 14:761-769, 1993.
    • (1993) SIAM J. Sci. Comput. , vol.14 , pp. 761-769
    • Ng, E.1    Peyton, B.W.2
  • 15
    • 0000837381 scopus 로고
    • A mapping algorithm for parallel sparse Cholesky factorization
    • A. Pothen and C. Sun. A mapping algorithm for parallel sparse Cholesky factorization. SIAM J. Sci. Comput., 14(5):1253-1257, 1993.
    • (1993) SIAM J. Sci. Comput. , vol.14 , Issue.5 , pp. 1253-1257
    • Pothen, A.1    Sun, C.2
  • 16
    • 84861236802 scopus 로고    scopus 로고
    • DSCPACK: Domain-Separator Codes for the parallel solution of sparse linear systems
    • P. Raghavan. DSCPACK: Domain-Separator Codes for the parallel solution of sparse linear systems, 2002. Software for solving sparse linear systems on multi-processors an d NOWs using C and MPI. Package has a two stage parallel nested dissection, higher-level BLAS, fast repeated solves and an easy t o use parallel interface. See http://www.cse.psu.edu/Dscpack.
    • (2002) Software for Solving Sparse Linear Systems on Multi-processors an d NOWs Using C and MPI
    • Raghavan, P.1
  • 18
    • 0042843372 scopus 로고    scopus 로고
    • A latency tolerant hybrid sparse solver using incomplete Cholesky factorization
    • P. Raghavan, K. Teranishi, and E. Ng. A latency tolerant hybrid sparse solver using incomplete Cholesky factorization. Numerical Linear Algebra, 10:541-560, 2003.
    • (2003) Numerical Linear Algebra , vol.10 , pp. 541-560
    • Raghavan, P.1    Teranishi, K.2    Ng, E.3
  • 20
    • 25144502725 scopus 로고    scopus 로고
    • Large-scale normal coordinate analysis on distributed memory mu ltiprocessors and nows
    • C. Yang, P. Raghavan, L. Arrowood, B. Sumpter, and D. Noid. Large-scale normal coordinate analysis on distributed memory mu ltiprocessors and nows. Int. J. Supercomputing Appl., 1(4):409-424, 2002.
    • (2002) Int. J. Supercomputing Appl. , vol.1 , Issue.4 , pp. 409-424
    • Yang, C.1    Raghavan, P.2    Arrowood, L.3    Sumpter, B.4    Noid, D.5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.