메뉴 건너뛰기




Volumn 68, Issue 228, 1999, Pages 1605-1613

Convergence behaviour of inexact Newton methods

Author keywords

Affine invariant conditions; Inexact methods; Systems of nonlinear equations

Indexed keywords


EID: 0033438721     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0025-5718-99-01135-7     Document Type: Article
Times cited : (71)

References (25)
  • 2
    • 0040566215 scopus 로고    scopus 로고
    • J.M. Ortega, W.C. Rheinboldt, Iterative solution of nonlinear equation in several variables, Academic Press, New York, 1970. MR 42:8686
    • MR , vol.42 , pp. 8686
  • 4
    • 0039068233 scopus 로고    scopus 로고
    • J.E. Dennis, R.B. Schnabel, Numerical methods for unconstrained optimization and nonlinear equations, Prentice Hall, Englewood Cliff, NJ, 1983. MR 85j:65001
    • MR , vol.85 J , pp. 65001
  • 6
    • 0040566205 scopus 로고    scopus 로고
    • R.S. Dembo, S.C. Eisenstat, T. Steihaug, Inexact Newton methods, SIAM J. Numer. Anal.,19, 1982, pp. 400-408. MR 83b:65056
    • MR , vol.83 B , pp. 65056
  • 8
    • 0001763831 scopus 로고    scopus 로고
    • Inexact Newton methods for solving nonsmooth equations
    • J.M. Martinez, L.Qi, Inexact Newton methods for solving nonsmooth equations, J. Comput. Appl. Math., 60, 1995, pp. 127-145. MR 96h:65076
    • (1995) J. Comput. Appl. Math. , vol.60 , pp. 127-145
    • Martinez, J.M.1    Qi, L.2
  • 9
    • 0001763831 scopus 로고    scopus 로고
    • J.M. Martinez, L.Qi, Inexact Newton methods for solving nonsmooth equations, J. Comput. Appl. Math., 60, 1995, pp. 127-145. MR 96h:65076
    • MR , vol.96 H , pp. 65076
  • 10
    • 38149145034 scopus 로고    scopus 로고
    • Global inexact Newton methods for very large scale nonlinear problems
    • P. Deuflhard, Global inexact Newton methods for very large scale nonlinear problems, Impact Comput. Sci. and Engrg., 3, 1991, pp. 366-393. MR 92i:65093
    • (1991) Impact Comput. Sci. and Engrg. , vol.3 , pp. 366-393
    • Deuflhard, P.1
  • 11
    • 38149145034 scopus 로고    scopus 로고
    • P. Deuflhard, Global inexact Newton methods for very large scale nonlinear problems, Impact Comput. Sci. and Engrg., 3, 1991, pp. 366-393. MR 92i:65093
    • MR , vol.92 I , pp. 65093
  • 12
    • 33750393487 scopus 로고    scopus 로고
    • Reduced storage matrix methods in stiff ODE systems
    • P.N. Brown, A.C. Hindmarsh, Reduced storage matrix methods in stiff ODE systems, Appl. Math. Comput., 31, 1989, pp. 40-91. MR 90f:65104
    • (1989) Appl. Math. Comput. , vol.31 , pp. 40-91
    • Brown, P.N.1    Hindmarsh, A.C.2
  • 13
    • 33750393487 scopus 로고    scopus 로고
    • P.N. Brown, A.C. Hindmarsh, Reduced storage matrix methods in stiff ODE systems, Appl. Math. Comput., 31, 1989, pp. 40-91. MR 90f:65104
    • MR , vol.90 F , pp. 65104
  • 14
    • 0030081652 scopus 로고    scopus 로고
    • The numerical solution of large systems of stiff IVPs for ODEs
    • K.R. Jackson, The numerical solution of large systems of stiff IVPs for ODEs, Appl. Numer. Math., 20, 1996, pp. 5-20. MR 97a:65061
    • (1996) Appl. Numer. Math. , vol.20 , pp. 5-20
    • Jackson, K.R.1
  • 15
    • 0030081652 scopus 로고    scopus 로고
    • K.R. Jackson, The numerical solution of large systems of stiff IVPs for ODEs, Appl. Numer. Math., 20, 1996, pp. 5-20. MR 97a:65061
    • MR , vol.97 A , pp. 65061
  • 16
    • 0021446370 scopus 로고    scopus 로고
    • Local convergence of inexact Newton methods
    • T.J. Ypma, Local convergence of inexact Newton methods, SIAM, J. Numer. Anal., 21, 1984, pp. 583-590. MR 85k:65043
    • (1984) SIAM, J. Numer. Anal. , vol.21 , pp. 583-590
    • Ypma, T.J.1
  • 17
    • 0021446370 scopus 로고    scopus 로고
    • T.J. Ypma, Local convergence of inexact Newton methods, SIAM, J. Numer. Anal., 21, 1984, pp. 583-590. MR 85k:65043
    • MR , vol.85 K , pp. 65043
  • 18
    • 84966213426 scopus 로고    scopus 로고
    • Local convergence of difference Newton-like methods
    • T.J. Ypma, Local convergence of difference Newton-like methods, Math. Comp. 41, 1983, pp. 527-536. MR 85f:65053
    • (1983) Math. Comp. , vol.41 , pp. 527-536
    • Ypma, T.J.1
  • 19
    • 84966213426 scopus 로고    scopus 로고
    • T.J. Ypma, Local convergence of difference Newton-like methods, Math. Comp. 41, 1983, pp. 527-536. MR 85f:65053
    • MR , vol.85 F , pp. 65053
  • 20
    • 21844523762 scopus 로고    scopus 로고
    • The error committed by stopping the Newton iteration in the numerical solution of stiff initial value problems
    • J.L.M. van Dorsselaer, M.N. Spijker, The error committed by stopping the Newton iteration in the numerical solution of stiff initial value problems, IMA J. of Numer. Anal., 14, 1994, pp 183-209. MR 95c:65097
    • (1994) IMA J. of Numer. Anal. , vol.14 , pp. 183-209
    • Van Dorsselaer, J.L.M.1    Spijker, M.N.2
  • 21
    • 21844523762 scopus 로고    scopus 로고
    • J.L.M. van Dorsselaer, M.N. Spijker, The error committed by stopping the Newton iteration in the numerical solution of stiff initial value problems, IMA J. of Numer. Anal., 14, 1994, pp 183-209. MR 95c:65097
    • MR , vol.95 C , pp. 65097
  • 22
    • 0039381062 scopus 로고    scopus 로고
    • Affine invariant convergence for Newton's methods
    • T.J. Ypma, Affine invariant convergence for Newton's methods, BIT, 22, 1982, pp. 108-118. MR 84a:58018
    • (1982) BIT , vol.22 , pp. 108-118
    • Ypma, T.J.1
  • 23
    • 0039381062 scopus 로고    scopus 로고
    • T.J. Ypma, Affine invariant convergence for Newton's methods, BIT, 22, 1982, pp. 108-118. MR 84a:58018
    • MR , vol.84 A , pp. 58018
  • 24
    • 0001820687 scopus 로고
    • Affine invariant convergence theorem for Newton methods and extension to related methods
    • P. Deuflhard, G. Heindl, Affine invariant convergence theorem for Newton methods and extension to related methods, SIAM J. Numer. Anal., 16, 1979, pp. 1-10. MR 80i:65068
    • (1979) SIAM J. Numer. Anal. , vol.16 , pp. 1-10
    • Deuflhard, P.1    Heindl, G.2
  • 25
    • 0039381066 scopus 로고    scopus 로고
    • P. Deuflhard, G. Heindl, Affine invariant convergence theorem for Newton methods and extension to related methods, SIAM J. Numer. Anal., 16, 1979, pp. 1-10. MR 80i:65068
    • MR , vol.80 I , pp. 65068


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.