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Volumn 23, Issue 8, 1997, Pages 1005-1019

A block variant of the GMRES method on massively parallel processors

Author keywords

Block variant; Distributed memory multiprocessors; GMRES; Krylov subspace; Linear system solver; Unsymmetric matrices

Indexed keywords

MATRIX ALGEBRA; PARALLEL ALGORITHMS; PROBLEM SOLVING;

EID: 0031210417     PISSN: 01678191     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0167-8191(97)00004-5     Document Type: Article
Times cited : (18)

References (23)
  • 1
    • 0040793011 scopus 로고
    • A newton basis GMRES implementation
    • Dept. of Mathematics, University of Kentucky, April
    • Z. Bai, D. Hu, L. Reichtel, A Newton basis GMRES implementation, Dept. of Mathematics, University of Kentucky, Research Report 91-03, April 1991.
    • (1991) Research Report 91-03
    • Bai, Z.1    Hu, D.2    Reichtel, L.3
  • 2
    • 0003412572 scopus 로고
    • ORNL/TM-11826, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, July
    • Beguelin, Dongarra, Geist, Manchek, Sunderam, A User's Guide to PVM, ORNL/TM-11826, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, July 1991.
    • (1991) A User's Guide to PVM
    • Beguelin1    Dongarra2    Geist3    Manchek4    Sunderam5
  • 3
    • 0001513905 scopus 로고
    • The Lanczos-Arnoldi algorithm and controllability
    • D. Boley, G. Golub, The Lanczos-Arnoldi algorithm and controllability, Syst. Control Lett. 4 (1984) 317-324.
    • (1984) Syst. Control Lett. , vol.4 , pp. 317-324
    • Boley, D.1    Golub, G.2
  • 4
    • 0026375013 scopus 로고
    • s-step iterative methods for (non)symmetric (in)definite linear systems
    • A. Chronopoulos, s-Step iterative methods for (non)symmetric (in)definite linear systems, SIAM J. Num. Anal. 28 (6) (1991) 1776-1789.
    • (1991) SIAM J. Num. Anal. , vol.28 , Issue.6 , pp. 1776-1789
    • Chronopoulos, A.1
  • 6
    • 0343695689 scopus 로고
    • Towards efficient parallel implementation of s-step iterative methods
    • A. Chronopoulos, S. Kim, Towards efficient parallel implementation of s-step iterative methods, Supercomputer 47 IX (1) (1992) 4-17.
    • (1992) Supercomputer 47 , vol.9 , Issue.1 , pp. 4-17
    • Chronopoulos, A.1    Kim, S.2
  • 11
    • 84958379705 scopus 로고
    • Parallelizable restarted iterative methods for nonsymmetric linear systems. Part I: Theory. Part II: Parallel implementation
    • W. Joubert, G. Carey, Parallelizable restarted iterative methods for nonsymmetric linear systems. Part I: Theory. Part II: Parallel implementation, Int. J. Comput. Math. 44 (1992) 243-290.
    • (1992) Int. J. Comput. Math. , vol.44 , pp. 243-290
    • Joubert, W.1    Carey, G.2
  • 12
  • 15
    • 0001084178 scopus 로고
    • The block conjugate gradient algorithm and related methods
    • D. O'Leary, The block conjugate gradient algorithm and related methods, Lin. Alg. Appl. 29 (1980) 293-322.
    • (1980) Lin. Alg. Appl. , vol.29 , pp. 293-322
    • O'Leary, D.1
  • 16
    • 0025521242 scopus 로고
    • Parallel QR factorization by Householder and modified Gram-Schmidt algorithm
    • D. O'Leary, P. Whitman, Parallel QR factorization by Householder and modified Gram-Schmidt algorithm, Parallel Comput. 16 (1990) 99-112.
    • (1990) Parallel Comput. , vol.16 , pp. 99-112
    • O'Leary, D.1    Whitman, P.2
  • 17
    • 30244480516 scopus 로고
    • Implementations of GMRES and their performance on the IBM 3090160OS
    • University of Utah, Utah Supercomputing Institute, May
    • M. Pernice, Implementations of GMRES and their performance on the IBM 3090160OS, University of Utah, Utah Supercomputing Institute, USI Report No. 13, May 1991.
    • (1991) USI Report No. 13 , vol.13
    • Pernice, M.1
  • 19
    • 0000048673 scopus 로고
    • A generalized minimal residual algorithm for solving nonsymmetric linear systems
    • Y. Saad, M. Schultz, A generalized minimal residual algorithm for solving nonsymmetric linear systems, SIAM J. Sci. Statis. Comput. 7 (1986) 856-869.
    • (1986) SIAM J. Sci. Statis. Comput. , vol.7 , pp. 856-869
    • Saad, Y.1    Schultz, M.2
  • 20
    • 21144469414 scopus 로고
    • Block Amoldi and Davidson methods for unsymmetric large eigenvalue problems
    • M. Sadkane, Block Amoldi and Davidson methods for unsymmetric large eigenvalue problems, Numer. Math. 64 (1993) 195-211.
    • (1993) Numer. Math. , vol.64 , pp. 195-211
    • Sadkane, M.1
  • 21
    • 0040542634 scopus 로고
    • Convergence properties of block GMRES for solving systems with multiple right-hand sides
    • Center for Supercomputing Research and Development, University of Illinois at Urbana-Champaign
    • V. Simoncini, E. Gallopoulos, Convergence properties of block GMRES for solving systems with multiple right-hand sides, CSRD Report No. 1316 (1993), Center for Supercomputing Research and Development, University of Illinois at Urbana-Champaign.
    • (1993) CSRD Report No. 1316 , vol.1316
    • Simoncini, V.1    Gallopoulos, E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.