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Volumn 109, Issue 3, 2001, Pages 631-648

The Newton method for operators with Hölder continuous first derivative

Author keywords

A priori error bounds; Hammerstein integral equation; Newton method; Nonlinear equations in Banach spaces; Recurrence relations; Semilocal convergence theorem

Indexed keywords

BANACH SPACES; ERROR ANALYSIS; INTEGRAL EQUATIONS; NONLINEAR EQUATIONS;

EID: 0035533685     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1017571906739     Document Type: Article
Times cited : (53)

References (15)
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    • 0014566708 scopus 로고
    • On the Kntorovich hypothesis for Newton's method
    • 4. DENNIS, J. E., On the Kantorovich Hypothesis for Newton's Method, SIAM Journal on Numerical Analysis, Vol. 6, pp. 493-507, 1969.
    • (1969) SIAM Journal on Numerical Analysis , vol.6 , pp. 493-507
    • Dennis, J.E.1
  • 5
    • 0000541421 scopus 로고
    • The Nwton-Kntorovich theorem
    • 5. ORTEGA, J. M., The Newton-Kantorovich Theorem, American Mathematical Monthly, Vol. 75, pp. 658-660, 1968.
    • (1968) American Mathematical Monthly , vol.75 , pp. 658-660
    • Ortega, J.M.1
  • 6
    • 0002214493 scopus 로고
    • A unified convergence theory for a class of iterative processes
    • 6. RHEINBOLDT, W. C., A Unified Convergence Theory for a Class of Iterative Processes, SIAM Journal on Numerical Analysis, Vol. 5, pp. 42-63, 1968.
    • (1968) SIAM Journal on Numerical Analysis , vol.5 , pp. 42-63
    • Rheinboldt, W.C.1
  • 7
    • 0000205950 scopus 로고
    • A method for finding sharp error bounds for Newton's method under the Kantorovich assumptions
    • 7. YAMAMOTO, T., A Method for Finding Sharp Error Bounds for Newton's Method under the Kantorovich Assumptions, Numerische Mathematik, Vol. 49, pp. 203-220, 1986.
    • (1986) Numerische Mathematik , vol.49 , pp. 203-220
    • Yamamoto, T.1
  • 9
    • 0000685483 scopus 로고
    • Newton's method under mild differentiability conditions with error analysis
    • 9. ROKNE, J., Newton's Method under Mild Differentiability Conditions with Error Analysis, Numerische Mathematik, Vol. 18, pp. 401-412, 1972.
    • (1972) Numerische Mathematik , vol.18 , pp. 401-412
    • Rokne, J.1
  • 13
    • 0001505013 scopus 로고
    • Remarks on the convergence of Newton's method under Hölder continuity conditions
    • 13. ARGYROS, I. K., Remarks on the Convergence of Newton's Method under Hölder Continuity Conditions, Tamkang Journal of Mathematics, Vol. 23, pp. 269-277, 1992.
    • (1992) Tamkang Journal of Mathematics , vol.23 , pp. 269-277
    • Argyros, I.K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.