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Volumn 29, Issue 1, 2010, Pages 19-30

Some derivative free quadratic and cubic convergence iterative formulas for solving nonlinear equations

Author keywords

Cubic convergence; Iterative method; Newton's method; Nonlinear equations; Quadratic convergence

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; NEWTON-RAPHSON METHOD;

EID: 77956556878     PISSN: 22383603     EISSN: 18070302     Source Type: Journal    
DOI: 10.1590/S1807-03022010000100002     Document Type: Article
Times cited : (44)

References (14)
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    • Alarcón, V.1    Amat, S.2    Busquier, S.3    López, D.J.4
  • 2
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    • Geometric constructions of iterative functions to solve nonlinear equations
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  • 4
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    • On the convergence of a class of generalized Steffensen's iterative procedures and error analysis
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    • (1989) Int. J. Comput. Math. , vol.31 , pp. 195-203
    • Chen, D.1
  • 5
    • 34248226935 scopus 로고    scopus 로고
    • A geometric construction of iterative functions of order three to solve nonlinear equations
    • C. Chun, A geometric construction of iterative functions of order three to solve nonlinear equations. Comput. Math. Appl., 53 (2007), 972-976.
    • (2007) Comput. Math. Appl. , vol.53 , pp. 972-976
    • Chun, C.1
  • 8
    • 77951103874 scopus 로고    scopus 로고
    • New iterative method for solving non-linear equations with fourth-order convergence
    • in press
    • M. Dehghan and M. Hajarian, New iterative method for solving non-linear equations with fourth-order convergence. Int. J. Comput. Math., in press.
    • Int. J. Comput. Math.
    • Dehghan, M.1    Hajarian, M.2
  • 9
    • 0041840554 scopus 로고    scopus 로고
    • Modified Newton's method with third-order convergence and multiple roots
    • M. Frontini and E. Sormani, Modified Newton's method with third-order convergence and multiple roots. J. Comput. Appl. Math., 156 (2003), 345-354.
    • (2003) J. Comput. Appl. Math. , vol.156 , pp. 345-354
    • Frontini, M.1    Sormani, E.2
  • 10
    • 11244299419 scopus 로고    scopus 로고
    • On Newton-type methods with cubic convergence
    • H.H.H. Homeier, On Newton-type methods with cubic convergence. J. Comput. Appl. Math., 176 (2005), 425-432.
    • (2005) J. Comput. Appl. Math. , vol.176 , pp. 425-432
    • Homeier, H.H.H.1
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  • 13
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    • Some newvariants of Newton's method
    • A.Y. Özban, Some newvariants of Newton's method. Appl. Math. Lett., 17 (2004), 677-682.
    • (2004) Appl. Math. Lett. , vol.17 , pp. 677-682
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  • 14
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    • Nondiscrete induction and iterative processes
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    • Potra, F.A.1    Pták, V.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.