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Volumn 22, Issue 5, 1996, Pages 623-641

Parallel iterative S-step methods for unsymmetric linear systems

Author keywords

Cray c90; Iterative methods; Modified gram schmidt; S step orthomin

Indexed keywords

APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; DIGITAL ARITHMETIC; ITERATIVE METHODS; LINEAR ALGEBRA; MATRIX ALGEBRA; NUMERICAL ANALYSIS; NUMERICAL METHODS; VECTORS;

EID: 0030211546     PISSN: 01678191     EISSN: None     Source Type: Journal    
DOI: 10.1016/0167-8191(96)00022-1     Document Type: Article
Times cited : (48)

References (31)
  • 2
    • 34250098040 scopus 로고
    • A generalized conjugate gradient, least squares method
    • O. Axelsson, A generalized conjugate gradient, Least squares method, Numer. Math. 51 (1987) 209-227.
    • (1987) Numer. Math. , vol.51 , pp. 209-227
    • Axelsson, O.1
  • 3
    • 14344283832 scopus 로고
    • Elsevier, North Holland, Amsterdam
    • N (Elsevier, North Holland, Amsterdam, 1988).
    • (1988) N , vol.1
    • Bjork, A.1
  • 4
    • 0002864202 scopus 로고
    • A theoretical comparison of the Arnoldi and GMRES algorithms
    • P.N. Brown, A theoretical comparison of the Arnoldi and GMRES algorithms, SIAM J. Sci. Stat. Comput. 12(1) (1991) 58-78.
    • (1991) SIAM J. Sci. Stat. Comput. , vol.12 , Issue.1 , pp. 58-78
    • Brown, P.N.1
  • 7
    • 0024701936 scopus 로고
    • Implementation of preconditioned S-step conjugate gradient methods on a multiprocessor system with memory hierarchy
    • A.T. Chronopoulos and C.W. Gear, Implementation of preconditioned S-step conjugate gradient methods on a multiprocessor system with memory hierarchy, Parallel Computing 11 (1989) pp. 37-53.
    • (1989) Parallel Computing , vol.11 , pp. 37-53
    • Chronopoulos, A.T.1    Gear, C.W.2
  • 8
    • 0026375013 scopus 로고
    • S-step iterative methods for (non)symmetric (in)definite linear systems
    • A.T. Chronopoulos, S-step iterative methods for (non)symmetric (in)definite linear systems, SIAM J. on Num. Analysis 28(6) (1991) 1776-1789.
    • (1991) SIAM J. on Num. Analysis , vol.28 , Issue.6 , pp. 1776-1789
    • Chronopoulos, A.T.1
  • 9
    • 84971972448 scopus 로고
    • Parallel numerical linear algebra
    • Cambridge University Press
    • J.W. Demmel, M.T. Heath and H. van Der Vorst, Parallel Numerical Linear Algebra (Acta Numerica 2, Cambridge University Press, 1993).
    • (1993) Acta Numerica , vol.2
    • Demmel, J.W.1    Heath, M.T.2    Van Der Vorst, H.3
  • 11
    • 0021572957 scopus 로고
    • A collection of parallel linear equations routines for the Denelcor HEP
    • J.J. Dongarra and R.E Hiromoto, A collection of parallel linear equations routines for the Denelcor HEP, Parallel Computing 1 (1984) 133-142.
    • (1984) Parallel Computing , vol.1 , pp. 133-142
    • Dongarra, J.J.1    Hiromoto, R.E.2
  • 13
    • 0000011239 scopus 로고
    • Variational iterative methods for nonsymmetric systems of linear equations
    • S.C. Eisenstat, H.C. Elman and M.H. Schultz, Variational iterative methods for nonsymmetric systems of linear equations, SIAM J. Numer. Anal. 20 (1983) 345-357.
    • (1983) SIAM J. Numer. Anal. , vol.20 , pp. 345-357
    • Eisenstat, S.C.1    Elman, H.C.2    Schultz, M.H.3
  • 16
    • 0026227418 scopus 로고
    • Chronopoulos, a class of Lanczos-like algorithms implemented on parallel computers
    • S.K. Kim and A.T. Chronopoulos, A class of Lanczos-like algorithms implemented on parallel computers, Parallel Computing 17 (1991) 763-778.
    • (1991) Parallel Computing , vol.17 , pp. 763-778
    • Kim, S.K.1
  • 17
    • 38249009430 scopus 로고
    • An efficient nonsymmetric Lanczos on parallel vector computers
    • S.K. Kim and A.T. Chronopoulos, An efficient nonsymmetric Lanczos on parallel vector computers, J. of Comput. and Applied Math. 42 (1992) 357-374.
    • (1992) J. of Comput. and Applied Math. , vol.42 , pp. 357-374
    • Kim, S.K.1    Chronopoulos, A.T.2
  • 18
    • 30244529284 scopus 로고
    • An efficient parallel algorithm for extreme eigenvalues of sparse nonsymmetric matrices
    • S.K. Kim and A.T. Chronopoulos, An efficient parallel algorithm for extreme eigenvalues of sparse nonsymmetric matrices, The Int. J. on Supercomputing 6(1) (1992) 98-111.
    • (1992) The Int. J. on Supercomputing , vol.6 , Issue.1 , pp. 98-111
    • Kim, S.K.1    Chronopoulos, A.T.2
  • 19
    • 84973728372 scopus 로고
    • Implementation of iterative methods for large sparse nonsymmetric linear systems on parallel vector computers
    • S. Ma and A.T. Chronopoulos, Implementation of iterative methods for large sparse nonsymmetric linear systems on parallel vector computers, Int. J. on Supercomputing 4(4) (1990) 9-24.
    • (1990) Int. J. on Supercomputing , vol.4 , Issue.4 , pp. 9-24
    • Ma, S.1    Chronopoulos, A.T.2
  • 21
    • 0024961178 scopus 로고
    • Parallel conjugate gradient-like algorithms for sparse nonsymmetric systems on a vector multiprocessor
    • G. Radicati di Brozolo, Y. Robert, Parallel conjugate gradient-like algorithms for sparse nonsymmetric systems on a vector multiprocessor, Parallel Computing 11 (1989) 223-239.
    • (1989) Parallel Computing , vol.11 , pp. 223-239
    • Radicati Di Brozolo, G.1    Robert, Y.2
  • 23
    • 0001448449 scopus 로고
    • An iterative method for nonsymmetric systems with multiple right hand sides
    • V. Simoncini and E. Gallopoulos, An iterative method for nonsymmetric systems with multiple right hand sides, SIAM J. Sci. Stat. Comput. 16 (1995) 917-933.
    • (1995) SIAM J. Sci. Stat. Comput. , vol.16 , pp. 917-933
    • Simoncini, V.1    Gallopoulos, E.2
  • 24
    • 30244509355 scopus 로고
    • Convergence properties of block GM-RES and matrix polynomials
    • to appear also: Center for Supercomputing Research and Development, Technical Report No. 1316, April
    • V. Simoncini and E. Gallopoulos, Convergence properties of block GM-RES and matrix polynomials, to appear in: Linear Algebra and its Applications, also: Center for Supercomputing Research and Development, Technical Report No. 1316, April 1994.
    • (1994) Linear Algebra and Its Applications
    • Simoncini, V.1    Gallopoulos, E.2
  • 25
    • 0000322706 scopus 로고
    • Implicit application of polynomial filters in a k-step Arnoldi method
    • D.C. Sorensen, Implicit application of polynomial filters in a k-step Arnoldi method, SIAM J. Matrix Anal. Appl. 13 (1992) 357-385.
    • (1992) SIAM J. Matrix Anal. Appl. , vol.13 , pp. 357-385
    • Sorensen, D.C.1
  • 26
    • 0001259654 scopus 로고
    • A vectorizable variant of some ICGG methods
    • H. van der Vorst, A vectorizable variant of some ICGG methods, SIAM J. Sci. Stat. Comput. 3 (1982) 350-356.
    • (1982) SIAM J. Sci. Stat. Comput. , vol.3 , pp. 350-356
    • Van Der Vorst, H.1
  • 28
    • 0000043097 scopus 로고
    • Implementation of the GMRES method using householder transformations
    • H.F. Walker, Implementation of the GMRES method using householder transformations, SIAM J. Sci. Stat. Comput. 9 (1988) 152-163.
    • (1988) SIAM J. Sci. Stat. Comput. , vol.9 , pp. 152-163
    • Walker, H.F.1
  • 30
    • 30244562121 scopus 로고
    • The ITPACK software package
    • B. Engquist and T. Smedsaas, eds., North Holland, Amsterdam
    • D.M. Young and D.R. Kincaid, The ITPACK software package, in: B. Engquist and T. Smedsaas, eds., PDE SOFTWARE: MODULES, INTERFACES AND SYSTEMS (North Holland, Amsterdam, 1984) 193-206.
    • (1984) PDE Software: Modules, Interfaces and Systems , pp. 193-206
    • Young, D.M.1    Kincaid, D.R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.