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Volumn 117, Issue 2-3, 2001, Pages 223-239

An acceleration of Newton's method: Super-Halley method

Author keywords

Iterative processes; Kantorovich assumptions; Newton's method; Non linear equation; Third order method

Indexed keywords


EID: 0040927500     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(99)00175-7     Document Type: Article
Times cited : (158)

References (18)
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  • 4
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    • Recurrence relations for rational cubic methods II: The Chebyshev method
    • Candela V., Marquina A. Recurrence relations for rational cubic methods II: The Chebyshev method. Comput. 45:1990;355-367.
    • (1990) Comput. , vol.45 , pp. 355-367
    • Candela, V.1    Marquina, A.2
  • 5
    • 0002639758 scopus 로고
    • A local convergence theorem for the Super-Halley method in a Banach space
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    • (1994) App. Math. Lett. , vol.7 , Issue.5 , pp. 49-52
    • Chen, D.1    Argyros, I.K.2    Qian, Q.S.3
  • 6
    • 0038960020 scopus 로고
    • Some propierties of convex functions of higher orders
    • Ciesielski Z. Some propierties of convex functions of higher orders. Annales Polonici Mathematici. 7:1959;1-7.
    • (1959) Annales Polonici Mathematici , vol.7 , pp. 1-7
    • Ciesielski, Z.1
  • 7
    • 0001131871 scopus 로고
    • Einige sätze über das verfahren der tangierenden hyperbeln in Banach-Räumen
    • Döring B. Einige sätze über das verfahren der tangierenden hyperbeln in Banach-Räumen. Aplikace Mat. 15:1970;418-464.
    • (1970) Aplikace Mat. , vol.15 , pp. 418-464
    • Döring, B.1
  • 8
    • 0000132229 scopus 로고
    • On Halley's iteration method
    • Gander W. On Halley's iteration method. Amer. Math. Monthly. 92:1985;131-134.
    • (1985) Amer. Math. Monthly , vol.92 , pp. 131-134
    • Gander, W.1
  • 9
    • 0016035394 scopus 로고
    • Optimal error bounds for the Newton-Kantorovich theorem
    • Gragg W.B., Tapia R.A. Optimal error bounds for the Newton-Kantorovich theorem. SIAM J. Numer. Anal. 11:1974;10-13.
    • (1974) SIAM J. Numer. Anal. , vol.11 , pp. 10-13
    • Gragg, W.B.1    Tapia, R.A.2
  • 12
    • 0031064164 scopus 로고    scopus 로고
    • A family of Chebyshev-Halley type methods in Banach spaces
    • Gutiérrez J.M., Hernández M.A. A family of Chebyshev-Halley type methods in Banach spaces. Bull. Austral. Math. Soc. 55:1997;113-130.
    • (1997) Bull. Austral. Math. Soc. , vol.55 , pp. 113-130
    • Gutiérrez, J.M.1    Hernández, M.A.2
  • 18
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    • 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


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.