메뉴 건너뛰기




Volumn 102, Issue 2-3, 1999, Pages 177-183

On Newton's method under mild differentiability conditions and applications

Author keywords

47H17; 49D15; 65J15; Banach space; Fr chet derivative; H lder continuity; Lipschitz conditions; Majorant theory; Newton method

Indexed keywords


EID: 0001298745     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(98)10014-0     Document Type: Article
Times cited : (22)

References (8)
  • 3
    • 84974081604 scopus 로고
    • On Newton's method and nondiscrete mathematical induction
    • Argyros I.K. On Newton's method and nondiscrete mathematical induction. Bull. Austral. Math. Soc. 38:1988;131-140.
    • (1988) Bull. Austral. Math. Soc. , vol.38 , pp. 131-140
    • Argyros, I.K.1
  • 4
    • 0040389742 scopus 로고
    • Newton's method under weak smoothness assumptions
    • Galperin A., Waksman Z. Newton's method under weak smoothness assumptions. J. Comput. Appl. Math. 35:1991;207-215.
    • (1991) J. Comput. Appl. Math. , vol.35 , pp. 207-215
    • Galperin, A.1    Waksman, Z.2
  • 5
    • 84972860659 scopus 로고
    • Regular smoothness and Newton's method
    • Galperin A., Waksman Z. Regular smoothness and Newton's method. Numer. Funct. Anal. Optim. 15(7/8):1994;813-858.
    • (1994) Numer. Funct. Anal. Optim. , vol.15 , Issue.7-8 , pp. 813-858
    • Galperin, A.1    Waksman, Z.2
  • 7
    • 0002214493 scopus 로고
    • A unified convergence theory for a class of iterative processes
    • Rheinboldt W.C. A unified convergence theory for a class of iterative processes. SIAM J. Numer. Anal. 5(1):1968;42-63.
    • (1968) SIAM J. Numer. Anal. , vol.5 , Issue.1 , pp. 42-63
    • Rheinboldt, W.C.1
  • 8
    • 0039205183 scopus 로고
    • A convergence theorem for Newton-like methods under generalized Chen-Yamamoto-type assumptions
    • Argyros I.K. A convergence theorem for Newton-like methods under generalized Chen-Yamamoto-type assumptions. Appl. Math. Comput. 61(1):1994;121-137.
    • (1994) Appl. Math. Comput. , vol.61 , Issue.1 , pp. 121-137
    • Argyros, I.K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.