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Volumn 184, Issue 2, 2007, Pages 210-215

A family of third-order methods to solve nonlinear equations by quadratic curves approximation

Author keywords

Iterative methods; Nonlinear equations; Order of convergence; Root finding

Indexed keywords

APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; ITERATIVE METHODS; NONLINEAR EQUATIONS; NUMERICAL METHODS;

EID: 33846604612     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2006.05.193     Document Type: Article
Times cited : (20)

References (8)
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    • 0041620161 scopus 로고    scopus 로고
    • Geometric constructions of iterative functions to solve nonlinear equations
    • Amat S., Busquier S., and Gutiérrez J.M. Geometric constructions of iterative functions to solve nonlinear equations. J. Comput. Appl. Math. 157 (2003) 197-205
    • (2003) J. Comput. Appl. Math. , vol.157 , pp. 197-205
    • Amat, S.1    Busquier, S.2    Gutiérrez, J.M.3
  • 2
    • 33847195487 scopus 로고
    • On the global convergence of Halley's iteration formula
    • Davies M., and Dawson B. On the global convergence of Halley's iteration formula. Num. Math. 24 (1975) 133-135
    • (1975) Num. Math. , vol.24 , pp. 133-135
    • Davies, M.1    Dawson, B.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
    • 0001050260 scopus 로고
    • A new, exact and easy method of finding the roots of equations generally, and that without any previous reduction
    • Halley E. A new, exact and easy method of finding the roots of equations generally, and that without any previous reduction. Phil. Roy. Soc. London 18 (1964) 136-145
    • (1964) Phil. Roy. Soc. London , vol.18 , pp. 136-145
    • Halley, E.1
  • 5
    • 0031377365 scopus 로고    scopus 로고
    • Geometry and convergence of Euler's and Halley's methods
    • Melman A. Geometry and convergence of Euler's and Halley's methods. SIAM Rev. 39 4 (1997) 728-735
    • (1997) SIAM Rev. , vol.39 , Issue.4 , pp. 728-735
    • Melman, A.1
  • 6
    • 14944351893 scopus 로고
    • On the geometry of Halley's method
    • Scavo T.R., and Thoo J.B. On the geometry of Halley's method. Am. Math. Monthly 102 (1995) 417-426
    • (1995) Am. Math. Monthly , vol.102 , pp. 417-426
    • Scavo, T.R.1    Thoo, J.B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.