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Volumn 322, Issue 1, 2006, Pages 329-335

Estimates of majorizing sequences in the Newton-Kantorovich method: A further improvement

Author keywords

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

Indexed keywords


EID: 33646682144     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2005.09.008     Document Type: Article
Times cited : (21)

References (14)
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    • F. Cianciaruso, E. De Pascale, Estimates of majorizing sequences in the Newton-Kantorovich method, submitted for publication
  • 2
    • 0347603934 scopus 로고    scopus 로고
    • Newton-Kantorovich approximations the derivative is Hölderian: Old and new results
    • Cianciaruso F., and De Pascale E. Newton-Kantorovich approximations the derivative is Hölderian: Old and new results. Numer. Funct. Anal. Optim. 24 (2003) 713-723
    • (2003) Numer. Funct. Anal. Optim. , vol.24 , pp. 713-723
    • Cianciaruso, F.1    De Pascale, E.2
  • 3
    • 0346751436 scopus 로고
    • Some remarks on the Newton-Kantorovich method for nonlinear equations with Hölder continuous linearizations
    • (in Russian)
    • Demidovich N.T., Zabreiko P.P., and Lysenko Ju.V. Some remarks on the Newton-Kantorovich method for nonlinear equations with Hölder continuous linearizations. Izv. Akad. Nauk Beloruss 3 (1993) 22-26 (in Russian)
    • (1993) Izv. Akad. Nauk Beloruss , vol.3 , pp. 22-26
    • Demidovich, N.T.1    Zabreiko, P.P.2    Lysenko, Ju.V.3
  • 4
    • 0343250848 scopus 로고    scopus 로고
    • The convergence of the Newton-Kantorovich method under Vertgeim conditions: A new improvement
    • De Pascale E., and Zabreiko P.P. The convergence of the Newton-Kantorovich method under Vertgeim conditions: A new improvement. Z. Anal. Anwendungen 17 (1998) 271-280
    • (1998) Z. Anal. Anwendungen , vol.17 , pp. 271-280
    • De Pascale, E.1    Zabreiko, P.P.2
  • 6
    • 33646704368 scopus 로고
    • Pergamon Press, Oxford
    • Kantorovich L.V., and Akilov G.P. Functional Analysis (1982), Pergamon Press, Oxford
    • (1982)
    • Kantorovich, L.V.1    Akilov, G.P.2
  • 9
    • 0006833092 scopus 로고
    • Conditions for the convergence of the Newton-Kantorovich method for nonlinear equations with Hölder linearizations
    • (in Russian)
    • Lysenko J.V. Conditions for the convergence of the Newton-Kantorovich method for nonlinear equations with Hölder linearizations. Dokl. Akad. Nauk BSSR 38 (1994) 20-24 (in Russian)
    • (1994) Dokl. Akad. Nauk BSSR , vol.38 , pp. 20-24
    • Lysenko, J.V.1
  • 11
    • 0006838912 scopus 로고
    • On conditions for the applicability of Newton's method
    • (in Russian)
    • Vertgeim B.A. On conditions for the applicability of Newton's method. Dokl. Akad. Nauk SSSR 110 (1956) 719-722 (in Russian)
    • (1956) Dokl. Akad. Nauk SSSR , vol.110 , pp. 719-722
    • Vertgeim, B.A.1
  • 12
    • 0346751430 scopus 로고
    • On some methods of the approximate solution of nonlinear functional equations in Banach spaces
    • (in Russian); English transl.:
    • Vertgeim B.A. On some methods of the approximate solution of nonlinear functional equations in Banach spaces. Uspekhi Mat. Nauk 12 (1957) 166-169 (in Russian); English transl.:
    • (1957) Uspekhi Mat. Nauk , vol.12 , pp. 166-169
    • Vertgeim, B.A.1
  • 13
    • 18444367807 scopus 로고
    • On some methods of the approximate solution of nonlinear functional equations in Banach spaces
    • Vertgeim B.A. On some methods of the approximate solution of nonlinear functional equations in Banach spaces. Amer. Math. Soc. Transl. 16 (1960) 378-382
    • (1960) Amer. Math. Soc. Transl. , vol.16 , pp. 378-382
    • Vertgeim, B.A.1
  • 14
    • 0034546528 scopus 로고    scopus 로고
    • Historical developments in convergence analysis for Newton's and Newton-like methods
    • Yamamoto T. Historical developments in convergence analysis for Newton's and Newton-like methods. J. Comput. Appl. Math. 124 (2000) 1-23
    • (2000) J. Comput. Appl. Math. , vol.124 , pp. 1-23
    • Yamamoto, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.