메뉴 건너뛰기




Volumn 16, Issue 1, 1997, Pages 17-38

Two-dimensional block partitionings for the parallel sparse Cholesky factorization

Author keywords

2D block partitioning; Fan in communication; Parallel algorithms; Proportional mapping; Sparse cholesky factorization

Indexed keywords


EID: 0041731470     PISSN: 10171398     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1019122726788     Document Type: Article
Times cited : (8)

References (23)
  • 1
  • 2
    • 0007946548 scopus 로고
    • A fan-in algorithm for distributed sparse numerical factorization
    • C. Ashcraft, S.C. Eisenstat and J.W.H. Liu, A fan-in algorithm for distributed sparse numerical factorization, SIAM J. Sci. Statist. Comput. 11(3) (1990) 593-599.
    • (1990) SIAM J. Sci. Statist. Comput. , vol.11 , Issue.3 , pp. 593-599
    • Ashcraft, C.1    Eisenstat, S.C.2    Liu, J.W.H.3
  • 3
    • 0024901312 scopus 로고
    • The influence of relaxed supernode partitions on the multifrontal method
    • C. Ashcraft and R. Grimes, The influence of relaxed supernode partitions on the multifrontal method, ACM Trans. Math. Software 15(4) (1989) 291-309.
    • (1989) ACM Trans. Math. Software , vol.15 , Issue.4 , pp. 291-309
    • Ashcraft, C.1    Grimes, R.2
  • 5
    • 0040272042 scopus 로고    scopus 로고
    • ATHAPASCAN: A C++ library for parallel programming
    • INRIA, Sophia Antipolis, France (July)
    • G. Cavalheiro and M. Doreille, ATHAPASCAN: A C++ library for parallel programming, in: Stratagem '96, INRIA, Sophia Antipolis, France (July 1996) p. 75.
    • (1996) Stratagem '96 , pp. 75
    • Cavalheiro, G.1    Doreille, M.2
  • 8
    • 0042528914 scopus 로고
    • Distribution par bloc pour une factorisation parallèle de Cholesky
    • eds. G. Authié et al. (Hermès)
    • L. Facq and J. Roman, Distribution par bloc pour une factorisation parallèle de Cholesky, in: Parallèlisme et Applications Irrégulières, eds. G. Authié et al. (Hermès, 1995) pp. 135-147.
    • (1995) Parallèlisme et Applications Irrégulières , pp. 135-147
    • Facq, L.1    Roman, J.2
  • 9
    • 0024717588 scopus 로고
    • Task scheduling for parallel sparse Cholesky factorization
    • G.A. Geist and E. Ng, Task scheduling for parallel sparse Cholesky factorization, Internat. J. Parallel Programming 18 (1989) 291-314.
    • (1989) Internat. J. Parallel Programming , vol.18 , pp. 291-314
    • Geist, G.A.1    Ng, E.2
  • 10
    • 0001341538 scopus 로고
    • Sparse Cholesky factorization on a local-memory multiprocessor
    • A. George, M.T. Heath, J. Liu and E. Ng, Sparse Cholesky factorization on a local-memory multiprocessor, SIAM J. Sci. Statist. Comput. 9(2) (1988) 327-340.
    • (1988) SIAM J. Sci. Statist. Comput. , vol.9 , Issue.2 , pp. 327-340
    • George, A.1    Heath, M.T.2    Liu, J.3    Ng, E.4
  • 12
    • 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 Rev. 33(3) (1991) 420-460.
    • (1991) SIAM Rev. , vol.33 , Issue.3 , pp. 420-460
    • Heath, M.T.1    Ng, E.2    Peyton, B.W.3
  • 13
    • 0012652650 scopus 로고
    • Limiting communication in parallel sparse Cholesky factorization
    • L. Hulbert and E. Zmijewski, Limiting communication in parallel sparse Cholesky factorization, SIAM J. Sci. Statist. Comput. 12(5) (1991) 1184-1197.
    • (1991) SIAM J. Sci. Statist. Comput. , vol.12 , Issue.5 , pp. 1184-1197
    • Hulbert, L.1    Zmijewski, E.2
  • 15
    • 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(1) (1990) 134-172.
    • (1990) SIAM J. Matrix Anal. Appl. , vol.11 , Issue.1 , pp. 134-172
    • Liu, J.W.H.1
  • 16
    • 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(4) (1993) 761-769.
    • (1993) SIAM J. Sci. Comput. , vol.14 , Issue.4 , pp. 761-769
    • Ng, E.1    Peyton, B.W.2
  • 17
    • 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) (1993) 1253-1257.
    • (1993) SIAM J. Sci. Comput. , vol.14 , Issue.5 , pp. 1253-1257
    • Pothen, A.1    Sun, C.2
  • 19
    • 0001102965 scopus 로고    scopus 로고
    • Performance of panel and block approaches to sparse Cholesky factorization on the IPSC/860 and Paragon multicomputers
    • E. Rothberg, Performance of panel and block approaches to sparse Cholesky factorization on the IPSC/860 and Paragon multicomputers, SIAM J. Sci. Comput. 17(3) (1996) 699-713.
    • (1996) SIAM J. Sci. Comput. , vol.17 , Issue.3 , pp. 699-713
    • Rothberg, E.1
  • 20
    • 0001459097 scopus 로고
    • An efficient block-oriented approach to parallel sparse Cholesky factorization
    • E. Rothberg and A. Gupta, An efficient block-oriented approach to parallel sparse Cholesky factorization, SIAM J. Sci. Comput. 15(6) (1994) 1413-1439.
    • (1994) SIAM J. Sci. Comput. , vol.15 , Issue.6 , pp. 1413-1439
    • Rothberg, E.1    Gupta, A.2
  • 21
    • 0028733838 scopus 로고
    • Improved load distribution in parallel sparse Cholesky factorization
    • E. Rothberg and R. Schreiber, Improved load distribution in parallel sparse Cholesky factorization, in: Supercomputing '94 (1994) pp. 783-792.
    • (1994) Supercomputing '94 , pp. 783-792
    • Rothberg, E.1    Schreiber, R.2
  • 22
    • 0000127707 scopus 로고
    • Scalability of sparse direct solvers
    • The IMA Volumes in Mathematics and its Applications, eds. A. George, J.R. Gilbert and J.W.H. Liu
    • R. Schreiber, Scalability of sparse direct solvers, in: Graph Theory and Sparse Matrix Compution, The IMA Volumes in Mathematics and its Applications, Vol. 56, eds. A. George, J.R. Gilbert and J.W.H. Liu (1993) pp. 191-209.
    • (1993) Graph Theory and Sparse Matrix Compution , vol.56 , pp. 191-209
    • Schreiber, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.