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Volumn 31, Issue 2, 1996, Pages 21-31

Parallel nonlinear AOR method and its convergence

Author keywords

Global convergence; Monotonicity; Multisplitting; Relaxed method; System of nonlinear equations

Indexed keywords

COMPUTATIONAL METHODS; CONVERGENCE OF NUMERICAL METHODS; LARGE SCALE SYSTEMS; MATRIX ALGEBRA; PARALLEL PROCESSING SYSTEMS;

EID: 0029753188     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/0898-1221(95)00190-5     Document Type: Article
Times cited : (34)

References (8)
  • 1
    • 0009354207 scopus 로고
    • Parallel algorithms for nonlinear problems
    • R.E. White, Parallel algorithms for nonlinear problems. SIAM J. Alg. Disc. Meth. 7, 137-149 (1986).
    • (1986) SIAM J. Alg. Disc. Meth. , vol.7 , pp. 137-149
    • White, R.E.1
  • 3
    • 0001324833 scopus 로고
    • Multisplittings of matrices and parallel solution of linear systems
    • D.P. O'Leary and R.E. White, Multisplittings of matrices and parallel solution of linear systems, SIAM J. Alg. Disc. Meth. 6, 630-640 (1985).
    • (1985) SIAM J. Alg. Disc. Meth. , vol.6 , pp. 630-640
    • O'Leary, D.P.1    White, R.E.2
  • 4
    • 0001345523 scopus 로고
    • On the convergence of the parallel multisplitting AOR algorithm
    • D.R. Wang, On the convergence of the parallel multisplitting AOR algorithm, Linear Algebra Appl. 154/156, 473-486 (1991).
    • (1991) Linear Algebra Appl. , vol.154-156 , pp. 473-486
    • Wang, D.R.1
  • 5
    • 0000735411 scopus 로고
    • Convergence of relaxed parallel multisplitting methods
    • A. Frommer and G. Mayer, Convergence of relaxed parallel multisplitting methods, Linear Algebra Appl. 119, 141-152 (1989).
    • (1989) Linear Algebra Appl. , vol.119 , pp. 141-152
    • Frommer, A.1    Mayer, G.2
  • 6
    • 0042966437 scopus 로고
    • Convergence analysis of the matrix multisplitting AOR algorithm
    • Z.Z. Bai, Convergence analysis of the matrix multisplitting AOR algorithm, J. Natu. Sci. Heilongjiang Univ. 10, 1-5 (1993).
    • (1993) J. Natu. Sci. Heilongjiang Univ. , vol.10 , pp. 1-5
    • Bai, Z.Z.1
  • 7
    • 0042508530 scopus 로고
    • Regular splittings and monotone iteration functions
    • G. Alefeld and P. Volkmomn, Regular splittings and monotone iteration functions, Numer. Math. 46, 213-228 (1985).
    • (1985) Numer. Math. , vol.46 , pp. 213-228
    • Alefeld, G.1    Volkmomn, P.2
  • 8
    • 38249035391 scopus 로고
    • Convergence of parallel multisplitting iterative methods for M-matrices
    • M. Neumann and R.J. Plemmons, Convergence of parallel multisplitting iterative methods for M-matrices, Linear Algebra Appl. 88, 559-573 (1988).
    • (1988) Linear Algebra Appl. , vol.88 , pp. 559-573
    • Neumann, M.1    Plemmons, R.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.