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Journal of Mathematical Analysis and Applications
Volumn 249, Issue 2, 2000, Pages 463-475
Relaxing Convergence Conditions for Newton's Method
Author keywords

Iterative processes; Kantorovich conditions; Newton's method
Indexed keywords

EID: 0034664280     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.2000.6900     Document Type: Article
Times cited : (15)
References (13)
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    • Appell J., de Pascale E., Lysenko J. V., Zabrejko P. P. New results on Newton-Kantorovich approximations with applications to nonlinear integral equations. Monatsh. Math. 101:1990;175-193.
    • (1990) Monatsh. Math. , vol.101 , pp. 175-193
    • Appell, J.1    De Pascale, E.2    Lysenko, J.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. The Newton-Kantorovich method under mild differentiability conditions and the Pták error estimates. Monatsh. Math. 101:1990;175-193.
    • (1990) Monatsh. 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. Remarks on the convergence of Newton's method under Hölder continuity conditions. Tamkang J. Math. 23:1992;269-277.
    • (1992) Tamkang J. Math. , vol.23 , pp. 269-277
    • Argyros, I.K.1
  • 4
    • 0002372723 scopus 로고    scopus 로고
    • Smoothness and perturbed Newton-like methods
    • Argyros I. K. Smoothness and perturbed Newton-like methods. Pure Math. Appl. 8:1997;13-28.
    • (1997) Pure Math. Appl. , vol.8 , pp. 13-28
    • Argyros, I.K.1
  • 5
    • 0032120184 scopus 로고    scopus 로고
    • On the convergence of a certain class of iterative procedures under relaxed conditions with applications
    • Argyros I. K. On the convergence of a certain class of iterative procedures under relaxed conditions with applications. J. Comput. Appl. Math. 94:1998;13-21.
    • (1998) J. Comput. Appl. Math. , vol.94 , pp. 13-21
    • Argyros, I.K.1
  • 6
    • 0002225585 scopus 로고    scopus 로고
    • A convergence analysis for Newton-like methods in Banach space under weak hypotheses and applications
    • Argyros I. K. A convergence analysis for Newton-like methods in Banach space under weak hypotheses and applications. Tamkang J. Math. 30:1999;255-263.
    • (1999) Tamkang J. Math. , vol.30 , pp. 255-263
    • Argyros, I.K.1
  • 8
    • 0031550718 scopus 로고    scopus 로고
    • A new semilocal convergence theorem for Newton's method
    • Gutiérrez J. M. A new semilocal convergence theorem for Newton's method. J. Comput. Appl. Math. 79:1997;131-145.
    • (1997) J. Comput. Appl. Math. , vol.79 , pp. 131-145
    • Gutiérrez, J.M.1
  • 9
    • 38249006181 scopus 로고
    • A note on the Kantorovich theorem for Newton iteration
    • Huang Z. A note on the Kantorovich theorem for Newton iteration. J. Comput. Appl. Math. 47:1993;211-217.
    • (1993) J. Comput. Appl. Math. , vol.47 , pp. 211-217
    • Huang, Z.1
  • 13
    • 0000685483 scopus 로고
    • Newton's method under mild differentiability conditions with error analysis
    • Rokne J. Newton's method under mild differentiability conditions with error analysis. Numer. Math. 18:1972;401-412.
    • (1972) Numer. Math. , vol.18 , pp. 401-412
    • Rokne, J.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.