메뉴 건너뛰기




Volumn 30, Issue 2, 2004, Pages 95-117

A parallel direct solver for large sparse highly unsymmetric linear systems

Author keywords

Gaussian elimination; Highly unsymmetric linear systems; Parallel processing; Sparse matrices

Indexed keywords

GAUSSIAN ELIMINATION; HIGHLY UNASYMMETRIC LINEAR SYSTEMS; SPARSE MATRICES;

EID: 2942670738     PISSN: 00983500     EISSN: None     Source Type: Journal    
DOI: 10.1145/992200.992201     Document Type: Article
Times cited : (17)

References (23)
  • 1
  • 2
    • 2942632591 scopus 로고
    • Experiments in tearing large sparse systems
    • M. G. Cox and S. Hammarling, Eds. Oxford University Press, Oxford
    • ARIOLI, M. AND DUFF, I. S. 1990. Experiments in tearing large sparse systems. In Reliable Numerical Computation, M. G. Cox and S. Hammarling, Eds. Oxford University Press, Oxford, 207-226.
    • (1990) Reliable Numerical Computation , pp. 207-226
    • Arioli, M.1    Duff, I.S.2
  • 3
    • 0003197949 scopus 로고    scopus 로고
    • University of florida sparse matrix collection
    • Full details from
    • DAVIS, T. 1997. University of Florida Sparse Matrix Collection. NA Digest 97, 23. Full details from www.cise.ufl.edu/~davis/sparse/.
    • (1997) NA Digest 97 , vol.23
    • Davis, T.1
  • 7
    • 0030164754 scopus 로고    scopus 로고
    • The design of MA48, a code for the direct solution of sparse unsymmetric linear systems of equations
    • DUFF, I. AND REID, J. 1996. The design of MA48, a code for the direct solution of sparse unsymmetric linear systems of equations. ACM Trans. Math. Soft. 22, 187-226.
    • (1996) ACM Trans. Math. Soft. , vol.22 , pp. 187-226
    • Duff, I.1    Reid, J.2
  • 8
    • 0003391523 scopus 로고
    • MA42 - A new frontal code for solving sparse unsymmetric systems
    • Rutherford Appleton Laboratory
    • DUFF, I. AND SCOTT, J. 1993. MA42 - a new frontal code for solving sparse unsymmetric systems. Tech. Rep. RAL-93-064, Rutherford Appleton Laboratory.
    • (1993) Tech. Rep. , vol.RAL-93-064
    • Duff, I.1    Scott, J.2
  • 10
    • 0000765253 scopus 로고
    • Sparse partial pivoting in time proportional to arithmetic operations
    • GILBERT, J. R. AND PEIERLS, T. 1988. Sparse partial pivoting in time proportional to arithmetic operations. SIAM J. Sci. Statis. Comput. 9, 862-874.
    • (1988) SIAM J. Sci. Statis. Comput. , vol.9 , pp. 862-874
    • Gilbert, J.R.1    Peierls, T.2
  • 11
    • 25744445358 scopus 로고    scopus 로고
    • Iterative versus direct parallel substructuring methods in semiconductor device modeling
    • CERFACS, Toulouse, France
    • GIRAUD, L., MARROCCO, A., AND RIOUAL, J.-C. 2002. Iterative versus direct parallel substructuring methods in semiconductor device modeling. Tech. Rep. TR/PA/02/114, CERFACS, Toulouse, France.
    • (2002) Tech. Rep. , vol.TR-PA-02-114
    • Giraud, L.1    Marrocco, A.2    Rioual, J.-C.3
  • 13
    • 0034606778 scopus 로고    scopus 로고
    • A multilevel unsymmetric matrix ordering for parallel process simulation
    • HU, Y., MAGUIRE, K., AND BLAKE, R. 2000. A multilevel unsymmetric matrix ordering for parallel process simulation. Comput. Chem. Eng. 23, 1631-1647.
    • (2000) Comput. Chem. Eng. , vol.23 , pp. 1631-1647
    • Hu, Y.1    Maguire, K.2    Blake, R.3
  • 14
    • 25744453893 scopus 로고    scopus 로고
    • Ordering techniques for singly bordered block diagonal forms for parallel direct solvers
    • Rutherford Appleton Laboratory
    • HU, Y. AND SCOTT, J. 2003. Ordering techniques for singly bordered block diagonal forms for parallel direct solvers. Tech. Rep. RAL-TR-2003-020, Rutherford Appleton Laboratory.
    • (2003) Tech. Rep. , vol.RAL-TR-2003-020
    • Hu, Y.1    Scott, J.2
  • 15
    • 0003692957 scopus 로고
    • METIS: Unstructured graph partitioning and sparse matrix ordering system
    • University of Minnesota
    • KARYPIS, G. AND KUMAR, V. 1995. METIS: Unstructured graph partitioning and sparse matrix ordering system. Tech. Rep. TR 95-035, University of Minnesota.
    • (1995) Tech. Rep. , vol.TR 95-035
    • Karypis, G.1    Kumar, V.2
  • 17
    • 84990479742 scopus 로고
    • An efficient heuristic procedure for partitioning graphs
    • KERNIGHAN, B. AND LIN, S. 1970. An efficient heuristic procedure for partitioning graphs. Bell Syst. Tech. J. 49, 291-308.
    • (1970) Bell Syst. Tech. J. , vol.49 , pp. 291-308
    • Kernighan, B.1    Lin, S.2
  • 18
    • 0000444373 scopus 로고
    • The elimination form of the inverse and its application to linear programming
    • MARKOWITZ, H. 1957. The elimination form of the inverse and its application to linear programming. Management Science 3, 255-269.
    • (1957) Management Science , vol.3 , pp. 255-269
    • Markowitz, H.1
  • 19
    • 0343420125 scopus 로고
    • A message-passing interface standard
    • Special edition on MPI
    • MPI. 1994. A message-passing interface standard. Inter. J. Supercomp. Applics. 8. Special edition on MPI.
    • (1994) Inter. J. Supercomp. Applics. , vol.8
  • 20
    • 0035890797 scopus 로고    scopus 로고
    • The design of a portable parallel frontal solver for chemical process engineering problems
    • SCOTT, J. 2001a. The design of a portable parallel frontal solver for chemical process engineering problems. Comput. Chem. Eng. 25, 1699-1709.
    • (2001) Comput. Chem. Eng. , vol.25 , pp. 1699-1709
    • Scott, J.1
  • 21
    • 0035916192 scopus 로고    scopus 로고
    • A parallel solver for finite element applications
    • SCOTT, J. 2001b. A parallel solver for finite element applications. Inter. J. Num. Meth. Eng. 50, 1131-1141.
    • (2001) Inter. J. Num. Meth. Eng. , vol.50 , pp. 1131-1141
    • Scott, J.1
  • 22
    • 25744459359 scopus 로고    scopus 로고
    • Parallel frontal solvers for large sparse linear systems
    • Rutherford Appleton Laboratory
    • SCOTT, J. 2002. Parallel frontal solvers for large sparse linear systems. Tech. Rep. RAL-TR-2002-012, Rutherford Appleton Laboratory.
    • (2002) Tech. Rep. , vol.RAL-TR-2002-012
    • Scott, J.1
  • 23
    • 0001837643 scopus 로고
    • On some pivotal strategies in Gaussian elimination by sparse technique
    • ZLATEV, Z. 1980. On some pivotal strategies in Gaussian elimination by sparse technique. SIAM J. Numer. Anal. 17, 18-30.
    • (1980) SIAM J. Numer. Anal. , vol.17 , pp. 18-30
    • Zlatev, Z.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.