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Volumn 27, Issue 5-6, 2006, Pages 529-538

Estimates of Majorizing sequences in the Newton-Kantorovich method

Author keywords

Estimates of majorizing sequences; H lder continuous derivative; Newton Kantorovich approximations

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; DIFFERENTIAL EQUATIONS; MATHEMATICAL OPERATORS; PROBLEM SOLVING;

EID: 33746824219     PISSN: 01630563     EISSN: 15322467     Source Type: Journal    
DOI: 10.1080/01630560600790793     Document Type: Article
Times cited : (14)

References (11)
  • 1
    • 0347603934 scopus 로고    scopus 로고
    • Newton-Kantorovich approximations the derivative is Hölderian: Old and new results
    • F. Cianciaruso and E. De Pascale (2003). Newton-Kantorovich approximations the derivative is Hölderian: Old and new results. Numer. Funct. Anal. Optim. 24(7 & 8):713-723.
    • (2003) Numer. Funct. Anal. Optim. , vol.24 , Issue.7-8 , pp. 713-723
    • Cianciaruso, F.1    De Pascale, E.2
  • 2
    • 0346751436 scopus 로고
    • Some remarks on the Newton-Kantorovich method for nonlinear equations with holder continuous linearizations
    • [in Russian]
    • N.T. Demidovich, P.P. Zabreiko, and Ju.V. Lysenko (1993). Some remarks on the Newton-Kantorovich method for nonlinear equations with Holder continuous linearizations, Izv. Akad. Nauk Beloruss 3:322-326 [in Russian].
    • (1993) Izv. Akad. Nauk Beloruss , vol.3 , pp. 322-326
    • Demidovich, N.T.1    Zabreiko, P.P.2    Lysenko, J.V.3
  • 3
    • 0343250848 scopus 로고    scopus 로고
    • The convergence of the Newton-Kantorovich method under vertgeim conditions: A new improvement
    • E. De Pascale and P.P. Zabreiko (1998). The convergence of the Newton-Kantorovich method under vertgeim conditions: A new improvement. Z. Anal. Anwend, 17(2):271-280.
    • (1998) Z. Anal. Anwend , vol.17 , Issue.2 , pp. 271-280
    • De Pascale, E.1    Zabreiko, P.P.2
  • 6
    • 0006833092 scopus 로고
    • Conditions for the convergence of the Newton-Kantorovich method for nonlinear equations with Holder linearizations
    • [in Russian]
    • J.V. Lysenko (1994). Conditions for the convergence of the Newton-Kantorovich method for nonlinear equations with Holder linearizations. Dokl. Akad. Nauk BSSR 38:20-24 [in Russian].
    • (1994) Dokl. Akad. Nauk BSSR , vol.38 , pp. 20-24
    • Lysenko, J.V.1
  • 8
    • 0006838912 scopus 로고
    • On conditions for the applicability of Newton's method
    • [in Russian]
    • B.A. Vertgeim (1956). On conditions for the applicability of Newton's method. Dokl. Akad. Nauk SSSR 110:719-722 [in Russian].
    • (1956) Dokl. Akad. Nauk SSSR , vol.110 , pp. 719-722
    • Vertgeim, B.A.1
  • 9
    • 0346751430 scopus 로고
    • On some methods of the approximate solution of nonlinear functional equations in Banach spaces
    • [in Russian]
    • B.A. Vertgeim (1957/1960). On some methods of the approximate solution of nonlinear functional equations in Banach spaces. Uspekhi Mat. Nauk 12: 166-169 [in Russian].
    • (1957) Uspekhi Mat. Nauk , vol.12 , pp. 166-169
    • Vertgeim, B.A.1
  • 10
    • 18444367807 scopus 로고    scopus 로고
    • Engl. Trans.
    • [Engl. Trans.: Amer. Math. Soc. Transl. 16(2):378-382.
    • Amer. Math. Soc. Transl. , vol.16 , Issue.2 , pp. 378-382
  • 11
    • 0034546528 scopus 로고    scopus 로고
    • Historical developments in convergence analysis for Newton's and Newton-like methods
    • T. Yamamoto (2000). Historical developments in convergence analysis for Newton's and Newton-like methods. J. Comput. Appl. Math. 124:1-23.
    • (2000) J. Comput. Appl. Math. , vol.124 , pp. 1-23
    • Yamamoto, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.