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Volumn 14, Issue 2, 2001, Pages 195-200

Newton-preconditioned Krylov subspace solvers for system of nonlinear equations: A numerical experiment

Author keywords

Krylov subspace; Preconditioned CG like methods; Preconditioned Lanczos algorithm; System of nonlinear equations

Indexed keywords


EID: 0011746347     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-9659(00)00135-X     Document Type: Article
Times cited : (8)

References (10)
  • 1
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    • Nonlinear CG-like iterative methods
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    • Chronopoulos, A.T.1
  • 3
    • 0041862699 scopus 로고
    • Convergence of the conjugate gradient method with computationally convenient modifications
    • J.W. Daniel, Convergence of the Conjugate Gradient method with computationally convenient modifications, Numer. Math. 10, 125-131 (1967).
    • (1967) Numer. Math. , vol.10 , pp. 125-131
    • Daniel, J.W.1
  • 4
    • 0000615669 scopus 로고
    • Function minimization by conjugate gradients
    • R. Fletcher and C.M. Reeves, Function minimization by conjugate gradients, Comput. J. 7, 149-154 (1964).
    • (1964) Comput. J. , vol.7 , pp. 149-154
    • Fletcher, R.1    Reeves, C.M.2
  • 6
    • 0030124952 scopus 로고    scopus 로고
    • Extension of the Lanczos and CGS methods to systems of nonlinear equations
    • S. Krzyworzcka, Extension of the Lanczos and CGS methods to systems of nonlinear equations, J. Comp. Appl. Math. 69, 181-190 (1996).
    • (1996) J. Comp. Appl. Math. , vol.69 , pp. 181-190
    • Krzyworzcka, S.1
  • 7
    • 0000977352 scopus 로고
    • Hybrid Krylov methods for nonlinear system of equations
    • P.N. Brown and Y. Saad, Hybrid Krylov methods for nonlinear system of equations, SIAM J. Sci. Statist. Comput. 11, 450-481 (1990).
    • (1990) SIAM J. Sci. Statist. Comput. , vol.11 , pp. 450-481
    • Brown, P.N.1    Saad, Y.2
  • 8
    • 0003086453 scopus 로고
    • On automatic differentiation
    • (Edited by M. Iri and K. Tanabe), Kluwer Academic, Dordrecht
    • A. Griewank, On automatic differentiation, In Mathematical Programming, (Edited by M. Iri and K. Tanabe), Kluwer Academic, Dordrecht, (1989).
    • (1989) Mathematical Programming
    • Griewank, A.1
  • 9
    • 0001436426 scopus 로고
    • Iterative solution of linear equations in ODE codes
    • W. Gear and Y. Saad, Iterative solution of linear equations in ODE codes, SIAM J. Sci. Statist. Comput. 4, 583-601 (1983).
    • (1983) SIAM J. Sci. Statist. Comput. , vol.4 , pp. 583-601
    • Gear, W.1    Saad, Y.2
  • 10
    • 0033116172 scopus 로고    scopus 로고
    • Comparison of Lanczos and CGS solvers for solving numerical heat transfer problems
    • S. Sundar, B.K. Bhagavan and K.S. Sastri, Comparison of Lanczos and CGS solvers for solving numerical heat transfer problems, Computers Math. Applic. 37 (8), 107-117 (1999).
    • (1999) Computers Math. Applic. , vol.37 , Issue.8 , pp. 107-117
    • Sundar, S.1    Bhagavan, B.K.2    Sastri, K.S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.