Iterative methods for dense linear systems on distributed memory parallel computers

被引:0
|
作者
Yokoyama, M [1 ]
Shigehara, T [1 ]
Mizoguchi, H [1 ]
Mishima, T [1 ]
机构
[1] Saitama Univ, Dept Informat & Comp Sci, Urawa, Saitama 3388570, Japan
关键词
iterative methods for solving dense linear systems; the conjugate gradient method; the conjugate residual method; parallel processing; distributed memory parallel computers;
D O I
暂无
中图分类号
TP3 [计算技术、计算机技术];
学科分类号
0812 ;
摘要
The Conjugate Residual method, one of the iterative methods for solving linear systems, is applied to the problems with a dense coefficient matrix on distributed memory parallel-computers. Based on an assumption on the computation and communication times of the proposed algorithm for parallel computers, it is shown that the optimal number of processing elements is proportional to the problem size N. The validity of the prediction is confirmed through numerical experiments on Hitachi SR2201.
引用
收藏
页码:483 / 486
页数:4
相关论文
共 50 条
  • [41] A scalable parallel black oil simulator on distributed memory parallel computers
    Wang, Kun
    Liu, Hui
    Chen, Zhangxin
    JOURNAL OF COMPUTATIONAL PHYSICS, 2015, 301 : 19 - 34
  • [42] Parallel implementation of a ray tracing algorithm for distributed memory parallel computers
    Lee, TY
    Raghavendra, CS
    Nicholas, JB
    CONCURRENCY-PRACTICE AND EXPERIENCE, 1997, 9 (10): : 947 - 965
  • [43] Parallel Schur complement method for large-scale systems on distributed memory computers
    Kocak, S
    Akay, HU
    APPLIED MATHEMATICAL MODELLING, 2001, 25 (10) : 873 - 886
  • [44] The design, implementation, and evaluation of a symmetric banded linear solver for distributed-memory parallel computers
    Gupta, A
    Gustavson, FG
    Joshi, M
    Toledo, S
    ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE, 1998, 24 (01): : 74 - 101
  • [45] MEMORY-SYSTEMS FOR HIGHLY PARALLEL COMPUTERS
    TANIMOTO, SL
    PROCEEDINGS OF THE IEEE, 1991, 79 (04) : 403 - 415
  • [46] Modular simulation of cardiac dynamics on distributed memory parallel computers
    Pormann, John
    Board, John
    Henriquez, Craig
    Annals of Biomedical Engineering, 2000, 28 (SUPPL. 1)
  • [47] Spectral decomposition of nonsymmetric matrices on distributed memory parallel computers
    Bai, Z.
    Demmel, J.
    Dongarra, J.
    Petitet, A.
    Robinson, H.
    Stanley, K.
    SIAM Journal of Scientific Computing, 1997, 18 (05): : 1446 - 1461
  • [48] Adaptive dynamic process scheduling on distributed memory parallel computers
    Shu, Wei
    Scientific Programming, 1994, 3 (04) : 341 - 352
  • [49] MOLECULAR-DYNAMICS ON DISTRIBUTED MEMORY (MIMD) PARALLEL COMPUTERS
    SMITH, W
    THEORETICA CHIMICA ACTA, 1993, 84 (4-5): : 385 - 398
  • [50] Simulation of the hydrodynamic device model on distributed memory parallel computers
    Aluru, NR
    Law, KH
    Dutton, RW
    IEEE TRANSACTIONS ON COMPUTER-AIDED DESIGN OF INTEGRATED CIRCUITS AND SYSTEMS, 1996, 15 (09) : 1029 - 1047