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Volumn 94, Issue 1, 1998, Pages 13-21

On the convergence of a certain class of iterative procedures under relaxed conditions with applications

Author keywords

Banach space; Fr chet derivative; Inexact Newton like methods; Nondifferentiable operators; Ptak like conditions

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; INTEGRAL EQUATIONS; MATHEMATICAL OPERATORS; NONLINEAR EQUATIONS; PROBLEM SOLVING;

EID: 0032120184     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(98)00060-0     Document Type: Article
Times cited : (6)

References (9)
  • 1
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    • J. Appell, E. De Pascale, P.P. Zabrejko, On the application of the Newton-Kantorovich method to nonlinear integral equations of Uryson type, Numer. Funct. Anal. Optimiz. 12 (3,4) (1991) 271-283.
    • (1991) Numer. Funct. Anal. Optimiz. , vol.12 , Issue.3-4 , pp. 271-283
    • Appell, J.1    De Pascale, E.2    Zabrejko, P.P.3
  • 2
    • 0039709263 scopus 로고
    • A convergence theorem for Newton-like methods under generalized Chen-Yamamoto-type assumptions
    • I.K. Argyros, A convergence theorem for Newton-like methods under generalized Chen-Yamamoto-type assumptions, Appl. Math. Comput. 62 (1) (1994) 1-15.
    • (1994) Appl. Math. Comput. , vol.62 , Issue.1 , pp. 1-15
    • Argyros, I.K.1
  • 4
    • 0040895248 scopus 로고
    • On the convergence of modified contractions
    • I.K. Argyros, F. Szidarovszky, On the convergence of modified contractions, J. Comput. Appl. Math. 55 (2) (1994) 183-189.
    • (1994) J. Comput. Appl. Math. , vol.55 , Issue.2 , pp. 183-189
    • Argyros, I.K.1    Szidarovszky, F.2
  • 5
    • 0024302091 scopus 로고
    • Convergence domains of certain iterative methods for solving nonlinear equations
    • X. Chen, T. Yamamoto, Convergence domains of certain iterative methods for solving nonlinear equations, Numer. Funct. Anal. Optim. 10 (1,2) (1989) 37-48.
    • (1989) Numer. Funct. Anal. Optim. , vol.10 , Issue.1-2 , pp. 37-48
    • Chen, X.1    Yamamoto, T.2
  • 6
    • 0001820687 scopus 로고
    • Affine invariant convergence theorems for Newton's method and extensions to related methods
    • G.
    • P. Deauflhard, G. Heindl, G. Affine invariant convergence theorems for Newton's method and extensions to related methods, SIAM J. Numer. Anal. 16 (1) (1979) 1-10.
    • (1979) SIAM J. Numer. Anal. , vol.16 , Issue.1 , pp. 1-10
    • Deauflhard, P.1    Heindl, G.2
  • 8
    • 0039117183 scopus 로고
    • A special matrix equation and its applications in microelectronics
    • F. Szidarovszky, O. Palusinski, A special matrix equation and its applications in microelectronics, Appl. Math. Comput. 64 (1994) 115-119.
    • (1994) Appl. Math. Comput. , vol.64 , pp. 115-119
    • Szidarovszky, F.1    Palusinski, O.2
  • 9
    • 0023344904 scopus 로고
    • The majorant method in the theory of Newton-Kantorovich approximations and the Ptak error estimates
    • P.P. Zabrejko, D.F. Nguen, The majorant method in the theory of Newton-Kantorovich approximations and the Ptak error estimates, Numer. Funct. Anal. Optimiz. 9 (5,6) (1987) 671-684.
    • (1987) Numer. Funct. Anal. Optimiz. , vol.9 , Issue.5-6 , pp. 671-684
    • Zabrejko, P.P.1    Nguen, D.F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.