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Volumn 18, Issue 3, 1999, Pages 785-792

Concerning the convergence of a modified Newton-like method

Author keywords

Banach spaces; Modified Newton like method; Uniformly continuity; Uryson integral equations

Indexed keywords


EID: 26444587260     PISSN: 02322064     EISSN: None     Source Type: Journal    
DOI: 10.4171/ZAA/913     Document Type: Article
Times cited : (4)

References (10)
  • 1
    • 84948517016 scopus 로고
    • On the application of the Newton-Kantorovich method to nonlinear integral equations of Uryson type
    • Appell, J., De Pascale, E. and P. P. Zabrejko: On the application of the Newton-Kantorovich method to nonlinear integral equations of Uryson type. Numer. Funct. Anal. Optimiz. 12 (1991), 271-283.
    • (1991) Numer. Funct. Anal. Optimiz. , vol.12 , pp. 271-283
    • Appell, J.1    De Pascale, E.2    Zabrejko, P.P.3
  • 2
    • 0030622898 scopus 로고    scopus 로고
    • New results on Newton-Kantorovich approximations with applications to nonlinear integral equations
    • Appell, J., De Pascale, E., Lysenko, J. V. and P. P. Zabrejko: New results on Newton-Kantorovich approximations with applications to nonlinear integral equations. Numer. Funct. Anal. Optimiz. 18 (1997), 1-17.
    • (1997) Numer. Funct. Anal. Optimiz. , vol.18 , pp. 1-17
    • Appell, J.1    De Pascale, E.2    Lysenko, J.V.3    Zabrejko, P.P.4
  • 3
    • 0039709263 scopus 로고
    • A convergence theorem for Newton-like methods under generalized Chen-Yamamoto-type assumptions
    • Argyros, I. K.: A convergence theorem for Newton-like methods under generalized Chen-Yamamoto-type assumptions. Appl. Math. Comp. 62 (1994), 1-15.
    • (1994) Appl. Math. Comp. , vol.62 , pp. 1-15
    • Argyros, I.K.1
  • 4
    • 0040895248 scopus 로고
    • On the convergence of modified contractions
    • Argyros, I. K. and F. Szidarovszky: On the convergence of modified contractions. J. Comp. Appl. Math. 55 (1994), 183-189.
    • (1994) J. Comp. Appl. Math. , vol.55 , pp. 183-189
    • Argyros, I.K.1    Szidarovszky, F.2
  • 6
    • 0024302091 scopus 로고
    • Convergence domains of certain iterative method's for solving nonlinear equations
    • Chen, X. T. and Yamamoto: Convergence domains of certain iterative method's for solving nonlinear equations. Numer. Funct. Anal. Optimiz. 10 (1989), 37-48.
    • (1989) Numer. Funct. Anal. Optimiz. , vol.10 , pp. 37-48
    • Chen, X.T.1    Yamamoto2
  • 7
    • 0001820687 scopus 로고
    • Affine invariant convergence theorems for Newton's method and extensions to related methods
    • Deuflhard, P. and G. Heindl: Affine invariant convergence theorems for Newton's method and extensions to related methods. SIAM J. Numer. Anal. 16 (1979), 1-10.
    • (1979) SIAM J. Numer. Anal. , vol.16 , pp. 1-10
    • Deuflhard, P.1    Heindl, G.2
  • 9
    • 0039117183 scopus 로고
    • A special matrix equation and its applications in microelectronics
    • Szidarovszky, F. and O. Palusinski: A special matrix equation and its applications in microelectronics. Appl. Math. Comp. 64 (1994), 115-119.
    • (1994) Appl. Math. Comp. , vol.64 , pp. 115-119
    • Szidarovszky, F.1    Palusinski, O.2
  • 10
    • 0023344904 scopus 로고
    • The majorant method in the theory of Newton-Kantorovich approximations and the Ptak error estimates
    • Zabrejko, P. P. and D. F. Nguyen: The majorant method in the theory of Newton-Kantorovich approximations and the Ptak error estimates. Numer. Funct. Anal. Optimiz. 9 (1987), 671-684.
    • (1987) Numer. Funct. Anal. Optimiz. , vol.9 , pp. 671-684
    • Zabrejko, P.P.1    Nguyen, D.F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.