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Volumn 5, Issue , 1997, Pages 48-61

Asynchronous weighted additive Schwarz methods

Author keywords

Additive Schwartz; Asynchronous methods; H matrices; Linear system; Monotone matrices; Multisplittings; Parallel algorithms

Indexed keywords


EID: 0002504054     PISSN: 10689613     EISSN: 10689613     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (45)

References (24)
  • 1
    • 0017958142 scopus 로고
    • Asynchronous iterative methods for multiprocessors
    • G. M. BAUDET, Asynchronous iterative methods for multiprocessors, J. ACM, 25 (1978), pp. 226-244.
    • (1978) J. ACM , vol.25 , pp. 226-244
    • Baudet, G.M.1
  • 2
    • 0031485176 scopus 로고    scopus 로고
    • Existence and Uniqueness of Splittings for Stationary Iterative Methods with Applications to Alternating Methods
    • M. BENZI, D. B. SZYLD, Existence and Uniqueness of Splittings for Stationary Iterative Methods with Applications to Alternating Methods, Numer. Math., 76 (1997), pp. 309-321.
    • (1997) Numer. Math. , vol.76 , pp. 309-321
    • Benzi, M.1    Szyld, D.B.2
  • 5
    • 0003159321 scopus 로고
    • Parallel, Synchronous and Asynchronous Two-stage MultisplittingMethods
    • R. BRU, V. MIGALLÓN, J. PENADÉS, D. B. SZYLD, Parallel, Synchronous and Asynchronous Two-stage MultisplittingMethods, Electa Trans. Numer. Anal., 3 (1995), pp. 24-38.
    • (1995) Electa Trans. Numer. Anal. , vol.3 , pp. 24-38
    • Bru, R.1    Migallón, V.2    Penadés, J.3    Szyld, D.B.4
  • 7
    • 0000111942 scopus 로고
    • Some convergence results for asynchronous algorithms
    • M. N. EL TARAZI, Some convergence results for asynchronous algorithms, Numer. Math., 39 (1982) pp. 325-340.
    • (1982) Numer. Math. , vol.39 , pp. 325-340
    • El Tarazi, M.N.1
  • 8
    • 0023982094 scopus 로고
    • The convergence factor of the parallel Schwarz overrelaxation method for linear systems
    • D. J. EVANS, SHAO JIANPING, KANG LISHAN, The convergence factor of the parallel Schwarz overrelaxation method for linear systems, Parallel Comput, 6 (1988), pp. 313-324.
    • (1988) Parallel Comput , vol.6 , pp. 313-324
    • Evans, D.J.1    Jianping, S.2    Lishan, K.3
  • 9
    • 38149144375 scopus 로고
    • Generalized nonlinear diagonal dominance and applications to asynchronous iterative methods
    • A. FROMMER, Generalized nonlinear diagonal dominance and applications to asynchronous iterative methods, J. Comput. Appl. Math., 38 (1991), pp. 105-124.
    • (1991) J. Comput. Appl. Math. , vol.38 , pp. 105-124
    • Frommer, A.1
  • 10
    • 0011608679 scopus 로고
    • On asynchronous iterations in partially ordered spaces
    • A. FROMMER, On asynchronous iterations in partially ordered spaces, Numer. Funct Anal. Optim., 12 (1991) pp. 315-325.
    • (1991) Numer. Funct Anal. Optim. , vol.12 , pp. 315-325
    • Frommer, A.1
  • 11
    • 0031497209 scopus 로고    scopus 로고
    • A Unified Representation and Theory of Algebraic Additive Schwarz and Multisplitting Methods
    • A. FROMMER, H. SCHWANDT, A Unified Representation and Theory of Algebraic Additive Schwarz and Multisplitting Methods, SIAM J. Matrix Anal. Appl., 18 (1997).
    • (1997) SIAM J. Matrix Anal. Appl. , vol.18
    • Frommer, A.1    Schwandt, H.2
  • 12
    • 33845744599 scopus 로고
    • H-splittings and two-stage iterative methods
    • A. FROMMER, D. B. SZYLD, H-splittings and two-stage iterative methods, Numer. Math., 63 (1992), pp. 65-82.
    • (1992) Numer. Math. , vol.63 , pp. 65-82
    • Frommer, A.1    Szyld, D.B.2
  • 13
    • 77749268446 scopus 로고
    • Asynchronous two-stage iterative methods
    • A. FROMMER, D. B. SZYLD, Asynchronous two-stage iterative methods, Numer. Math., 69 (1994), pp. 141-153.
    • (1994) Numer. Math. , vol.69 , pp. 141-153
    • Frommer, A.1    Szyld, D.B.2
  • 16
    • 0015360429 scopus 로고
    • Nonlinear generalizations of matrix diagonal dominance with application to Gauss-Seidel iterations
    • J. MORÉ, Nonlinear generalizations of matrix diagonal dominance with application to Gauss-Seidel iterations, SIAM J. Numer. Anal., 9 (1972), pp. 357-378.
    • (1972) SIAM J. Numer. Anal. , vol.9 , pp. 357-378
    • Moré, J.1
  • 17
    • 0001324833 scopus 로고
    • Multi-splittings of matrices and parallel solution of linear systems
    • D. P. O'LEARY, R. E. WHITE, Multi-splittings of matrices and parallel solution of linear systems, SIAM J. Algebra Discrete Methods, 6 (1985), pp. 630-640.
    • (1985) SIAM J. Algebra Discrete Methods , vol.6 , pp. 630-640
    • O'Leary, D.P.1    White, R.E.2
  • 18
    • 0022150921 scopus 로고
    • Inner/outer iterative methods and numerical Schwarz algorithms
    • G. RODRIGUE, Inner/outer iterative methods and numerical Schwarz algorithms, Parallel Comput., 2 (1985), pp. 205-218.
    • (1985) Parallel Comput. , vol.2 , pp. 205-218
    • Rodrigue, G.1
  • 19
    • 0039258921 scopus 로고
    • Convergence and comparison analysis of some numerical Schwarz methods
    • G. RODRIGUE, KANG LISHAN, LIU YU-HUI, Convergence and comparison analysis of some numerical Schwarz methods, Numer. Math., 56 (1989), pp. 123-138.
    • (1989) Numer. Math. , vol.56 , pp. 123-138
    • Rodrigue, G.1    Lishan, K.2    Yu-Hui, L.3
  • 20
    • 0348163242 scopus 로고
    • A generalized numerical Schwarz algorithm
    • R. Glowinski, J.-L. Lions, eds., Elsevier
    • G. RODRIGUE, J. SIMON, A generalized numerical Schwarz algorithm, in: Computer Methods in Applied Sciences and Engineering VI (R. Glowinski, J.-L. Lions, eds.), Elsevier, (1984), pp. 272-281.
    • (1984) Computer Methods in Applied Sciences and Engineering VI , pp. 272-281
    • Rodrigue, G.1    Simon, J.2
  • 23
    • 0003943048 scopus 로고
    • Prentice-Hall, Englewood Cliffs, New Jersey
    • R. S. VARGA, Matrix Iterative Analysis, Prentice-Hall, Englewood Cliffs, New Jersey (1962).
    • (1962) Matrix Iterative Analysis
    • Varga, R.S.1
  • 24
    • 0016883748 scopus 로고
    • On recurring theorems on diagonal dominance
    • R. S. VARGA, On recurring theorems on diagonal dominance, Linear Algebra Appl., 13 (1976), pp. 1-9.
    • (1976) Linear Algebra Appl. , vol.13 , pp. 1-9
    • Varga, R.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.