메뉴 건너뛰기




Volumn 103, Issue 1, 1999, Pages 27-49

Indices of convexity and concavity. Application to Halley method

Author keywords

26A51; 47H10; 65J15; Convex function; Halley method; Majorizing sequences; Nonlinear equations in Banach spaces; Third order method

Indexed keywords


EID: 0039181891     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(98)10047-4     Document Type: Article
Times cited : (35)

References (15)
  • 2
    • 0001632262 scopus 로고
    • Results on the Chebyshev Method in Banach Spaces
    • Argyros I.K., Chen D. Results on the Chebyshev Method in Banach Spaces. Proyecciones. 12(2):1993;119-128.
    • (1993) Proyecciones , vol.12 , Issue.2 , pp. 119-128
    • Argyros, I.K.1    Chen, D.2
  • 4
    • 0038960020 scopus 로고
    • Some properties of convex functions on higher orders
    • Ciesielski Z. Some properties of convex functions on higher orders. Ann. Polon. Math. 7:1959;1-7.
    • (1959) Ann. Polon. Math. , vol.7 , pp. 1-7
    • Ciesielski, Z.1
  • 6
    • 0001440927 scopus 로고
    • A note on Halley's method
    • Hernández M.A. A note on Halley's method. Numer. Math. 59(3):1991;273-276.
    • (1991) Numer. Math. , vol.59 , Issue.3 , pp. 273-276
    • Hernández, M.A.1
  • 11
    • 0002214493 scopus 로고
    • A unified convergence theory for a class of iterative process
    • Rheinboldt W.C. A unified convergence theory for a class of iterative process. SIAM J. Numer. Anal. 5:1968;42-63.
    • (1968) SIAM J. Numer. Anal. , vol.5 , pp. 42-63
    • Rheinboldt, W.C.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
  • 14
    • 0023827018 scopus 로고
    • On the method of tangent hyperbolas in Banach spaces
    • Yamamoto T. On the method of tangent hyperbolas in Banach spaces. J. Comput. Appl. Math. 21:1988;75-86.
    • (1988) J. Comput. Appl. Math. , vol.21 , pp. 75-86
    • Yamamoto, T.1
  • 15
    • 38249006181 scopus 로고
    • A note on the Kantorovich theorem for Newton iteration
    • Zhengda H. 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
    • Zhengda, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.