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Volumn 19, Issue 2, 1998, Pages 584-604

Data-parallel sparse LU factorization

Author keywords

Data parallel algorithms; Direct method; Parallel algorithms; SIMD; Sparse linear systems

Indexed keywords


EID: 11744349596     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1064827594276412     Document Type: Article
Times cited : (4)

References (48)
  • 1
    • 84964118784 scopus 로고
    • Vectorization of a multiprocessor multifrontal code, Internat
    • P. AMESTOY AND I. DUFF, Vectorization of a multiprocessor multifrontal code, Internat. J. Supercomput. Appl., 3 (1989), pp. 41-59.
    • (1989) J. Supercomput. Appl. , vol.3 , pp. 41-59
    • Amestoy, P.1    Duff, I.2
  • 4
    • 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 (1989), pp. 291-309.
    • (1989) ACM Trans. Math. Software , vol.15 , pp. 291-309
    • Ashcraft, C.1    Grimes, R.2
  • 5
    • 0001314661 scopus 로고
    • The fan-both family of column-based distributed Cholesky factorization algorithms
    • IMA Vol. Math. Appl. Springer-Verlag, New York
    • C. ASHCRAFT, The fan-both family of column-based distributed Cholesky factorization algorithms, in Graph Theory and Sparse Matrix Computation, IMA Vol. Math. Appl. 56, Springer-Verlag, New York, 1993, pp. 191-209.
    • (1993) Graph Theory and Sparse Matrix Computation , vol.56 , pp. 191-209
    • Ashcraft, C.1
  • 6
    • 0016314220 scopus 로고
    • Staran parallel processor system hardware
    • American Federation of Information Processing Societies
    • K. BATCHER, Staran parallel processor system hardware, in AFIPS Conference Proceedings 43, American Federation of Information Processing Societies, 1974, pp. 405-410.
    • (1974) AFIPS Conference Proceedings , vol.43 , pp. 405-410
    • Batcher, K.1
  • 7
    • 0019055071 scopus 로고
    • Design of a massively parallel processor
    • K. BATCHER, Design of a massively parallel processor, IEEE Trans. Comput., 29 (1980), pp.
    • (1980) IEEE Trans. Comput. , vol.29
    • Batcher, K.1
  • 9
    • 0025627052 scopus 로고
    • The MasPar MP-1 architecture
    • February 1990, IEEE, Piscataway, NJ
    • T. BLANK, The MasPar MP-1 architecture, in Proc. Compcon Spring '90, February 1990, IEEE, Piscataway, NJ, 1990, pp. 20-24.
    • (1990) Proc. Compcon Spring '90 , pp. 20-24
    • Blank, T.1
  • 11
    • 0025683849 scopus 로고
    • Parallel nested dissection
    • J. CONROY, Parallel nested dissection, Parallel Comput., 16 (1990), pp. 139-156.
    • (1990) Parallel Comput. , vol.16 , pp. 139-156
    • Conroy, J.1
  • 15
    • 84876615209 scopus 로고
    • Tech. report TM90, Mathematics and Computer Sciences Division, Argonne National Laboratory, Argonne, IL
    • I. DUFF, R. GRIMES, AND J. LEWIS, Sparse Matrix Test Problems, Tech. report TM90, Mathematics and Computer Sciences Division, Argonne National Laboratory, Argonne, IL, 1988.
    • (1988) Sparse Matrix Test Problems
    • Duff, I.1    Grimes, R.2    Lewis, J.3
  • 17
    • 0020822138 scopus 로고
    • The multifrontal solution of indefinite sparse symmetric linear systems
    • I. DUFF AND J. REID, The multifrontal solution of indefinite sparse symmetric linear systems, ACM Trans. Math. Software, 9 (1983), pp. 302-335.
    • (1983) ACM Trans. Math. Software , vol.9 , pp. 302-335
    • Duff, I.1    Reid, J.2
  • 18
    • 0022754738 scopus 로고
    • Parallel implementation of multifrontal schemes
    • [Duf86] I. DUFF, Parallel implementation of multifrontal schemes, Parallel Comput., 3 (1986), pp. 193-204.
    • (1986) Parallel Comput. , vol.3 , pp. 193-204
    • Duff, I.1
  • 19
    • 0000264382 scopus 로고
    • Nested dissection of a regular finite element mesh
    • J. A. GEORGE, Nested dissection of a regular finite element mesh, SIAM J. Numer. Anal., 10 (1973), pp. 345-363.
    • (1973) SIAM J. Numer. Anal. , vol.10 , pp. 345-363
    • George, J.A.1
  • 21
    • 0040946757 scopus 로고
    • Incomplete nested dissection for solving n × n grid problems
    • A. GEORGE, W. POOLE, AND R. VOIGT, Incomplete nested dissection for solving n × n grid problems, SIAM J. Numer. Anal., 15 (1978), pp. 662-673.
    • (1978) SIAM J. Numer. Anal. , vol.15 , pp. 662-673
    • George, A.1    Poole, W.2    Voigt, R.3
  • 22
    • 11744370634 scopus 로고
    • private communication
    • R. GRIMES, private communication, 1993.
    • (1993)
    • Grimes, R.1
  • 23
    • 0012315156 scopus 로고
    • Highly parallel sparse Cholesky factorization
    • J. GILBERT AND R. SCHREIBER, Highly parallel sparse Cholesky factorization, SIAM J. Sci. Statist. Comput., 13 (1992), pp. 1151-1172.
    • (1992) SIAM J. Sci. Statist. Comput. , vol.13 , pp. 1151-1172
    • Gilbert, J.1    Schreiber, R.2
  • 25
    • 0004171454 scopus 로고
    • Ph.D. thesis, Massachusetts Institute of Technology, Cambridge, MA
    • D. HILLIS, The Connection Machine, Ph.D. thesis, Massachusetts Institute of Technology, Cambridge, MA, 1985.
    • (1985) The Connection Machine
    • Hillis, D.1
  • 26
    • 0026219647 scopus 로고
    • Parallel algorithms for sparse linear systems
    • M. HEATH, E. NG, AND B. PEYTON, Parallel algorithms for sparse linear systems, SIAM Rev., 33 (1991), pp. 420-460.
    • (1991) SIAM Rev. , vol.33 , pp. 420-460
    • Heath, M.1    Ng, E.2    Peyton, B.3
  • 27
    • 11744301991 scopus 로고
    • Tech. report SRC-TR-93-103, Supercomputing Research Center, Bowie, MD
    • K. IOBST AND T. TURNBULL, The TERASYS Reference Manual, Tech. report SRC-TR-93-103, Supercomputing Research Center, Bowie, MD, 1993.
    • (1993) The TERASYS Reference Manual
    • Iobst, K.1    Turnbull, T.2
  • 29
    • 0020126847 scopus 로고
    • The Burroughs Scientific Processor (BSP)
    • D. KUCK AND R. STOKES, The Burroughs Scientific Processor (BSP), IEEE Trans. Comput., 31 (1982), pp. 363-376.
    • (1982) IEEE Trans. Comput. , vol.31 , pp. 363-376
    • Kuck, D.1    Stokes, R.2
  • 30
    • 0000936603 scopus 로고
    • A parallel solution method for large sparse systems of equations
    • R. LUCAS, W. BLANK, AND J. TIEMANN, A parallel solution method for large sparse systems of equations, IEEE Trans. Comput. Aided Design, CAD-6 (1987), pp. 981-991.
    • (1987) IEEE Trans. Comput. Aided Design , vol.CAD-6 , pp. 981-991
    • Lucas, R.1    Blank, W.2    Tiemann, J.3
  • 33
    • 11744289993 scopus 로고
    • MasPar Corporation, Sunnyvale, CA
    • The MPL Users Manual, MasPar Corporation, Sunnyvale, CA, 1991.
    • (1991) The MPL Users Manual
  • 34
    • 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 (1993), pp. 1253-1257.
    • (1993) SIAM J. Sci. Comput. , vol.14 , pp. 1253-1257
    • Pothen, A.1    Sun, C.2
  • 36
    • 0027713545 scopus 로고
    • An efficient block-oriented approach to parallel sparse Cholesky factorization
    • IEEE, Washington, DC
    • E. ROTHBERG AND A. GUPTA, An efficient block-oriented approach to parallel sparse Cholesky factorization, in Proc. Supercomputing 1993, IEEE, Washington, DC, 1993, pp. 503-512.
    • (1993) Proc. Supercomputing 1993 , pp. 503-512
    • Rothberg, E.1    Gupta, A.2
  • 37
    • 11744360225 scopus 로고
    • private communication
    • E. ROTHBERG, private communication, 1993.
    • (1993)
    • Rothberg, E.1
  • 39
    • 84994721734 scopus 로고
    • The SOLOMAN computer
    • American Federation of Information Processing Societies
    • D. SLOTNICK, W. BORCK, AND R. MCREYNOLDS, The SOLOMAN computer, in AFIPS Conference Proceedings 22, American Federation of Information Processing Societies, 1962, pp. 97-107.
    • (1962) AFIPS Conference Proceedings , vol.22 , pp. 97-107
    • Slotnick, D.1    Borck, W.2    Mcreynolds, R.3
  • 40
    • 11744329799 scopus 로고
    • private communication
    • R. SCHREIBER, private communication, 1993.
    • (1993)
    • Schreiber, R.1
  • 41
    • 11744328027 scopus 로고
    • An assessment of the Connection Machine
    • R. SCHREIBER, An assessment of the Connection Machine, Internat. J. High Speed Comput., 5 (1993), pp. 523-535.
    • (1993) Internat. J. High Speed Comput. , vol.5 , pp. 523-535
    • Schreiber, R.1
  • 42
    • 85023295537 scopus 로고
    • Unconventional systems
    • American Federation of Information Processing Societies
    • D. SLOTNICK, Unconventional systems, in AFIPS Conference Proceedings 30, American Federation of Information Processing Societies, 1967, pp. 477-481.
    • (1967) AFIPS Conference Proceedings , vol.30 , pp. 477-481
    • Slotnick, D.1
  • 43
    • 0014701632 scopus 로고
    • A logic-in-memory computer
    • H. STONE, A logic-in-memory computer, IEEE Trans. Comput., 19 (1970), pp. 73-78.
    • (1970) IEEE Trans. Comput. , vol.19 , pp. 73-78
    • Stone, H.1
  • 44
    • 11744329801 scopus 로고
    • Thinking Machines Corporation, Cambridge, MA
    • The CM Fortran Users Manual, Thinking Machines Corporation, Cambridge, MA, 1991.
    • (1991) The CM Fortran Users Manual
  • 48
    • 11744278008 scopus 로고    scopus 로고
    • SIAM J. Sei. COMPUT. Vol. 19, No. 2, pp. 605-625, March 1998
    • (1998)


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.