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Volumn 51, Issue 4, 2011, Pages 513-519

On derivative free cubic convergence iterative methods for solving nonlinear equations

Author keywords

cubic convergence; divided differences; iterative method; Newton's method; Newton's theorem; nonlinear equation

Indexed keywords


EID: 79955623487     PISSN: 09655425     EISSN: 15556662     Source Type: Journal    
DOI: 10.1134/S0965542511040051     Document Type: Article
Times cited : (8)

References (12)
  • 1
    • 0001717185 scopus 로고
    • On the Convergence of Halley's Method
    • G. Alefeld, "On the Convergence of Halley's Method," Amer. Math. Monthly 88, 530-538 (1981).
    • (1981) Amer. Math. Monthly , vol.88 , pp. 530-538
    • Alefeld, G.1
  • 2
    • 2242443716 scopus 로고
    • On the "Convergence of a Class of Generalized Steffensen's Iterative Procedures and Error Analysis"
    • D. Chen, On the "Convergence of a Class of Generalized Steffensen's Iterative Procedures and Error Analysis," Internat. J. Comput. Math. 31, 195-203 (1989).
    • (1989) Internat. J. Comput. Math. , vol.31 , pp. 195-203
    • Chen, D.1
  • 4
    • 77951103874 scopus 로고    scopus 로고
    • New Iterative Method for Solving Non-Linear Equations with Fourth-Order Convergence
    • M. Dehghan and M. Hajarian, "New Iterative Method for Solving Non-Linear Equations with Fourth-Order Convergence," Internat. J. Comput. Math., 87, 834-839 (2010).
    • (2010) Internat. J. Comput. Math. , vol.87 , pp. 834-839
    • Dehghan, M.1    Hajarian, M.2
  • 8
    • 14544290341 scopus 로고    scopus 로고
    • Some New Variants of Newton's Method
    • A. Y. Özban, "Some New Variants of Newton's Method," Appl. Math. Lett. 17, 677-682 (2004).
    • (2004) Appl. Math. Lett. , vol.17 , pp. 677-682
    • Özban, A.Y.1
  • 10
    • 0012466757 scopus 로고    scopus 로고
    • A Variant of Newton's Method with Accelerated Third-Order Convergence
    • S. Weerakoon and T. G. I. Fernando, "A Variant of Newton's Method with Accelerated Third-Order Convergence," Appl. Math. Lett. 13, 87-93 (2000).
    • (2000) Appl. Math. Lett. , vol.13 , pp. 87-93
    • Weerakoon, S.1    Fernando, T.G.I.2
  • 11
    • 79955438766 scopus 로고    scopus 로고
    • On Some Cubic Convergence Iterative Formulas Without Derivatives for Solving Nonlinear Equations
    • DOI:10.1002/cnm.1328
    • M. Dehghan and M. Hajarian, "On Some Cubic Convergence Iterative Formulas Without Derivatives for Solving Nonlinear Equations," Comuns Numer. Meth. Engng DOI: 10. 1002/cnm. 1328.
    • Comuns Numer. Meth. Engng
    • Dehghan, M.1    Hajarian, M.2
  • 12
    • 77956556878 scopus 로고    scopus 로고
    • Some Derivative Free Quadratic and Cubic Convergence Iterative Formulas
    • M. Dehghan and M. Hajarian, "Some Derivative Free Quadratic and Cubic Convergence Iterative Formulas," Comput. Appl. Math. 29, 19-30 (2010).
    • (2010) Comput. Appl. Math. , vol.29 , pp. 19-30
    • Dehghan, M.1    Hajarian, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.