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Volumn 189, Issue 1, 2007, Pages 597-601

Certain improvements of Chebyshev-Halley methods with accelerated fourth-order convergence

Author keywords

Chebyshev Halley methods; Iterative methods; Newton's method; Nonlinear equations; Order of convergence

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; FUNCTION EVALUATION; NEWTON-RAPHSON METHOD; NONLINEAR EQUATIONS;

EID: 34248326522     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2006.11.118     Document Type: Article
Times cited : (19)

References (13)
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    • A family of Chebyshev-Halley type methods in Banach spaces
    • Gutiérrez J.M., and Hernández M.A. A family of Chebyshev-Halley type methods in Banach spaces. Bull. Austr. Math. Soc. 55 (1997) 113-130
    • (1997) Bull. Austr. Math. Soc. , vol.55 , pp. 113-130
    • Gutiérrez, J.M.1    Hernández, M.A.2
  • 3
    • 0040927500 scopus 로고    scopus 로고
    • An acceleration of Newton's method: super-Halley method
    • Gutiérrez J.M., and Hernández M.A. An acceleration of Newton's method: super-Halley method. Appl. Math. Comput. 117 (2001) 223-239
    • (2001) Appl. Math. Comput. , vol.117 , pp. 223-239
    • Gutiérrez, J.M.1    Hernández, M.A.2
  • 4
  • 6
    • 34247261977 scopus 로고    scopus 로고
    • C. Chun, A family of composite fourth-order iterative methods for solving nonlinear equations, Appl. Math. Comput., in press. doi:10.1016/j.amc.2006.09.009.
  • 7
    • 33947204585 scopus 로고    scopus 로고
    • J. Kou, Y. Li, X. Wang, A variant of super-Halley method with accelerated fourth-order convergence, Appl. Math. Comput., in press. doi:10.1016/j.amc.2006.07.118.
  • 8
    • 33846589993 scopus 로고    scopus 로고
    • J. Kou, Y. Li, X. Wang, A composite fourth-order iterative method for solving non-linear equations, Appl. Math. Comput., in press. doi:10.1016/j.amc.2006.05.181.
  • 9
    • 33846614123 scopus 로고    scopus 로고
    • J. Kou, Y. Li, X. Wang, Fourth-order iterative methods free from second derivative, Appl. Math. Comput., in press. doi:10.1016/j.amc.2006.05.189.
  • 10
    • 33751552722 scopus 로고    scopus 로고
    • M.A. Noor, F. Ahmad, Fourth-order convergent iterative method for nonlinear equation, Appl. Math. Comput., in press. doi:10.1016/j.amc.2006.04.068.
  • 11
    • 30844439877 scopus 로고    scopus 로고
    • Fourth-order derivative-free methods for solving non-linear equations
    • Sharma J.R., and Goyal R.K. Fourth-order derivative-free methods for solving non-linear equations. Int. J. Comput. Math. 83 1 (2006) 101-106
    • (2006) Int. J. Comput. Math. , vol.83 , Issue.1 , pp. 101-106
    • Sharma, J.R.1    Goyal, R.K.2
  • 12
    • 28844434937 scopus 로고    scopus 로고
    • Iterative methods improving Newton's method by the decomposition method
    • Chun C. Iterative methods improving Newton's method by the decomposition method. Comput. Math. Appl. 50 (2005) 1559-1568
    • (2005) Comput. Math. Appl. , vol.50 , pp. 1559-1568
    • Chun, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.