메뉴 건너뛰기




Volumn 161, Issue 2, 2005, Pages 475-500

An overlapped two-way method for solving tridiagonal linear systems in a BSP computer

Author keywords

Bulk synchronous parallelism; Diagonally dominant matrix; Overlapping partitions; Tridiagonal linear systems; Two way methods

Indexed keywords

ALGORITHMS; COMMUNICATION SYSTEMS; COMPUTATIONAL COMPLEXITY; NUMERICAL ANALYSIS; PARALLEL PROCESSING SYSTEMS; PROBLEM SOLVING;

EID: 10044249026     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2003.12.044     Document Type: Article
Times cited : (3)

References (24)
  • 2
    • 0026186146 scopus 로고
    • Divide and conquer: A parallel algorithm for the solution of a tridiagonal linear system of equations
    • S. Bondeli, Divide and conquer: a parallel algorithm for the solution of a tridiagonal linear system of equations, Parallel Computing 17 (1991) 419-434.
    • (1991) Parallel Computing , vol.17 , pp. 419-434
    • Bondeli, S.1
  • 4
    • 0032099101 scopus 로고    scopus 로고
    • BSP linear solvers for dense matrices
    • D.J. Evans, M. Barulli, BSP linear solvers for dense matrices, Parallel Computing 24 (1998) 777-795.
    • (1998) Parallel Computing , vol.24 , pp. 777-795
    • Evans, D.J.1    Barulli, M.2
  • 6
    • 0027646847 scopus 로고
    • Strict calculation of the light statistics at the output of a travelling wave optical amplifier
    • J. Guitart, S. Ruiz Moreno, Strict calculation of the light statistics at the output of a travelling wave optical amplifier, Electronics Letters 29 (1993) 1589-1590.
    • (1993) Electronics Letters , vol.29 , pp. 1589-1590
    • Guitart, J.1    Ruiz Moreno, S.2
  • 8
    • 84932220767 scopus 로고
    • A fast Direct solution of Poisson's equation using Fourier analysis
    • R. Hockney, A fast Direct solution of Poisson's equation using Fourier analysis, Journal of ACM 12 (1965) 95-113.
    • (1965) Journal of ACM , vol.12 , pp. 95-113
    • Hockney, R.1
  • 11
    • 0041590865 scopus 로고    scopus 로고
    • Review of general and toeplitz vector bidiagonal solvers
    • J.L. Larriba, J.J. Navarro, A. Jorba, O. Roig, Review of general and Toeplitz vector bidiagonal solvers, Parallel Computing 22 (1996) 1091-1126.
    • (1996) Parallel Computing , vol.22 , pp. 1091-1126
    • Larriba, J.L.1    Navarro, J.J.2    Jorba, A.3    Roig, O.4
  • 12
    • 9144220381 scopus 로고
    • Compact finite schemes with spectral-like resolution
    • S. Lele, Compact finite schemes with spectral-like resolution, Journal of Computational Physics 103 (1992) 16-42.
    • (1992) Journal of Computational Physics , vol.103 , pp. 16-42
    • Lele, S.1
  • 14
    • 0001875069 scopus 로고
    • Scalable computing
    • J. Van Leeuwen (Ed.), Computer Science Today: Recent Trends and Developments, Springer-Verlag, New York
    • W.F. McColl, Scalable computing, in: J. Van Leeuwen (Ed.), Computer Science Today: Recent Trends and Developments, Lecture Notes in Computer Science, vol. 100, Springer-Verlag, New York, 1995, pp. 46-61.
    • (1995) Lecture Notes in Computer Science , vol.100 , pp. 46-61
    • McColl, W.F.1
  • 15
    • 0030384796 scopus 로고    scopus 로고
    • Scalability, portability and predictability: The BSP approach to parallel programming
    • W.F. McColl, Scalability, portability and predictability: the BSP approach to parallel programming, Future Generation Computer Systems 12 (4) (1996) 265-272.
    • (1996) Future Generation Computer Systems , vol.12 , Issue.4 , pp. 265-272
    • McColl, W.F.1
  • 16
    • 0347208947 scopus 로고
    • Ph.D. Thesis, Oxford University Computing Laboratory, Wolfson Building, Parks Road, Oxford OX1 3QD
    • R. Miller, Two approaches to architecture-independent parallel computation. Ph.D. Thesis, Oxford University Computing Laboratory, Wolfson Building, Parks Road, Oxford OX1 3QD, 1994.
    • (1994) Two Approaches to Architecture-independent Parallel Computation
    • Miller, R.1
  • 18
    • 0027592110 scopus 로고
    • The parallel recursive decoupling algorithm for solving tridiagonal linear systems
    • G. Spaletta, D.J. Evans, The parallel recursive decoupling algorithm for solving tridiagonal linear systems, Parallel Computing 19 (1993) 563-576.
    • (1993) Parallel Computing , vol.19 , pp. 563-576
    • Spaletta, G.1    Evans, D.J.2
  • 19
    • 84976729385 scopus 로고
    • An efficient parallel algorithm for the solution of a tridiagonal linear system of equations
    • H. Stone, An efficient parallel algorithm for the solution of a tridiagonal linear system of equations, Journal of ACM 20 (1973) 27-38.
    • (1973) Journal of ACM , vol.20 , pp. 27-38
    • Stone, H.1
  • 20
    • 10044294074 scopus 로고
    • Bulk-synchronous parallel computer, US Patent No. 5083265
    • L.G. Valiant, Bulk-synchronous parallel computer, US Patent No. 5083265 (1992).
    • (1992)
    • Valiant, L.G.1
  • 21
    • 0025467711 scopus 로고
    • A bridging model for parallel computation
    • L.G. Valiant, A bridging model for parallel computation, Communications of the ACM 33 (1990) 103-111.
    • (1990) Communications of the ACM , vol.33 , pp. 103-111
    • Valiant, L.G.1
  • 22
    • 0023442329 scopus 로고
    • Analysis of a parallel solution method for tridiagonal linear systems
    • H.A. van der Vorst, Analysis of a parallel solution method for tridiagonal linear systems, Parallel Computing 5 (1987) 303-311.
    • (1987) Parallel Computing , vol.5 , pp. 303-311
    • Van Der Vorst, H.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.