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Volumn 20, Issue 4, 2000, Pages 521-532

Newton's method under weak Kantorovich conditions

Author keywords

Iterative processes; Kantorovich conditions; Newton's method

Indexed keywords

ITERATIVE PROCESS; KANTOROVICH CONDITIONS; KANTOROVICH THEOREM; LIPSCHITZ CONDITIONS; NEWTON'S METHODS;

EID: 0034347978     PISSN: 02724979     EISSN: None     Source Type: Journal    
DOI: 10.1093/imanum/20.4.521     Document Type: Article
Times cited : (58)

References (11)
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    • 0030622898 scopus 로고    scopus 로고
    • New results on Newton-Kantorovich approximations with applications to nonlinear integral equations
    • APPELL, J., DE PASCALE, E., LYSENKO, L. V., & ZABREJKO, P. P. 1997 New results on Newton-Kantorovich approximations with applications to nonlinear integral equations. Numer. Funct. Anal. Optimit. 18, 1-17.
    • (1997) Numer. Funct. Anal. Optimit. , vol.18 , pp. 1-17
    • Appell, J.1    De Pascale, E.2    Lysenko, L.V.3    Zabrejko, P.P.4
  • 2
    • 0001470741 scopus 로고
    • The Newton-Kantorovich method under mild differentiability conditions and the Pták error estimates
    • ARGYROS, I. K. 1990 The Newton-Kantorovich method under mild differentiability conditions and the Pták error estimates. Monatshefte Math. 101, 175-193.
    • (1990) Monatshefte Math. , vol.101 , pp. 175-193
    • Argyros, I.K.1
  • 3
    • 0001505013 scopus 로고
    • Remarks on the convergence of Newton's method under Hölder continuity conditions
    • ARGYROS, I. K. 1992 Remarks on the convergence of Newton's method under Hölder continuity conditions. Tamkang J. Math. 23, 269-277.
    • (1992) Tamkang J. Math. , vol.23 , pp. 269-277
    • Argyros, I.K.1
  • 5
    • 0031550718 scopus 로고    scopus 로고
    • A new semilocal convergence theorem for Newton's method
    • GUTIÉRREZ, J. M. 1997 A new semilocal convergence theorem for Newton's method. J. Comput. Appl. Math. 79, 131-145.
    • (1997) J. Comput. Appl. Math. , vol.79 , pp. 131-145
    • Gutiérrez, J.M.1
  • 6
    • 38249006181 scopus 로고
    • A note on the Kantorovich theorem for Newton iteration
    • HUANG, Z. 1993 A note on the Kantorovich theorem for Newton iteration. J. Comput. Appl. Math. 47, 211-217.
    • (1993) J. Comput. Appl. Math. , vol.47 , pp. 211-217
    • Huang, Z.1
  • 10
    • 0000685483 scopus 로고
    • Newton's method under mild differentiability conditions with error analysis
    • ROKNE, J. 1972 Newton's method under mild differentiability conditions with error analysis. Numer.Math. 18, 401-412.
    • (1972) Numer.Math. , vol.18 , pp. 401-412
    • Rokne, J.1
  • 11
    • 85037794091 scopus 로고    scopus 로고
    • Convergence of Newton's method and uniqueness of the solution of equations in Banach space
    • To appear
    • WANG, X. Convergence of Newton's method and uniqueness of the solution of equations in Banach space. IMA J. Numer. Anal. To appear.
    • IMA J. Numer. Anal.
    • Wang, X.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.