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Volumn 197, Issue 2, 2008, Pages 654-658

Some fourth-order modifications of Newton's method

Author keywords

Iterative methods; Newton's method; Nonlinear equations; Order of convergence; Root finding methods

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; FUNCTION EVALUATION; ITERATIVE METHODS; PROBLEM SOLVING;

EID: 39449129086     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2007.08.003     Document Type: Article
Times cited : (41)

References (14)
  • 2
    • 34248382888 scopus 로고    scopus 로고
    • A one-parameter fourth-order family of iterative methods for nonlinear equations
    • Chun C., and Ham Y. A one-parameter fourth-order family of iterative methods for nonlinear equations. Appl. Math. Comput. 189 1 (2007) 610-614
    • (2007) Appl. Math. Comput. , vol.189 , Issue.1 , pp. 610-614
    • Chun, C.1    Ham, Y.2
  • 3
    • 34248326522 scopus 로고    scopus 로고
    • Certain improvements of Chebyshev-Halley methods with accelerated fourth-order convergence
    • Chun C. Certain improvements of Chebyshev-Halley methods with accelerated fourth-order convergence. Appl. Math. Comput. 189 1 (2007) 597-601
    • (2007) Appl. Math. Comput. , vol.189 , Issue.1 , pp. 597-601
    • Chun, C.1
  • 4
    • 33947204585 scopus 로고    scopus 로고
    • A variant of super-Halley method with accelerated fourth-order convergence
    • Kou J., Li Y., and Wang X. A variant of super-Halley method with accelerated fourth-order convergence. Appl. Math. Comput. 186 1 (2007) 535-539
    • (2007) Appl. Math. Comput. , vol.186 , Issue.1 , pp. 535-539
    • Kou, J.1    Li, Y.2    Wang, X.3
  • 5
    • 33846614123 scopus 로고    scopus 로고
    • Fourth-order iterative methods free from second derivative
    • Kou J., Li Y., and Wang X. Fourth-order iterative methods free from second derivative. Appl. Math. Comput. 184 2 (2007) 880-885
    • (2007) Appl. Math. Comput. , vol.184 , Issue.2 , pp. 880-885
    • Kou, J.1    Li, Y.2    Wang, X.3
  • 6
    • 33751552722 scopus 로고    scopus 로고
    • Fourth-order convergent iterative method for nonlinear equation
    • Noor M.A., and Ahmad F. Fourth-order convergent iterative method for nonlinear equation. Appl. Math. Comput. 182 2 (2006) 1149-1153
    • (2006) Appl. Math. Comput. , vol.182 , Issue.2 , pp. 1149-1153
    • Noor, M.A.1    Ahmad, F.2
  • 7
    • 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
  • 8
    • 35648945859 scopus 로고    scopus 로고
    • Y. Ham, C. Chun, A fifth-order iterative method for solving nonlinear equation, Appl. Math. Comput. (in press), doi:10.1016/j.amc.2007.04.005.
    • Y. Ham, C. Chun, A fifth-order iterative method for solving nonlinear equation, Appl. Math. Comput. (in press), doi:10.1016/j.amc.2007.04.005.
  • 9
    • 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
  • 10
    • 37349130515 scopus 로고    scopus 로고
    • C. Chun, Some fourth-order iterative methods for solving nonlinear equations, Appl. Math. Comput. (in press), doi:10.1016/j.amc.2007.04.105.
    • C. Chun, Some fourth-order iterative methods for solving nonlinear equations, Appl. Math. Comput. (in press), doi:10.1016/j.amc.2007.04.105.
  • 11
    • 45249110421 scopus 로고    scopus 로고
    • C. Chun, A simply constructed third-order modifications of Newton's method, J. Comput. Appl. Math. (in press), doi:10.1016/j.cam.2007.07.004.
    • C. Chun, A simply constructed third-order modifications of Newton's method, J. Comput. Appl. Math. (in press), doi:10.1016/j.cam.2007.07.004.
  • 12
    • 0012940554 scopus 로고
    • A family of fourth-order methods for nonlinear equations
    • King R. A family of fourth-order methods for nonlinear equations. SIAM J. Numer. Anal. 10 5 (1973) 876-879
    • (1973) SIAM J. Numer. Anal. , vol.10 , Issue.5 , pp. 876-879
    • King, R.1
  • 13
    • 39449115203 scopus 로고    scopus 로고
    • W. Gautschi, Numerical Analysis: An Introduction, Birkhäuser, 1997.
    • W. Gautschi, Numerical Analysis: An Introduction, Birkhäuser, 1997.
  • 14


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.