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Volumn 186, Issue 1, 2007, Pages 535-539

A variant of super-Halley method with accelerated fourth-order convergence

Author keywords

Iterative method; Newton's method; Non linear equations; Super Halley method

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; ITERATIVE METHODS; NEWTON-RAPHSON METHOD; NONLINEAR EQUATIONS;

EID: 33947204585     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2006.07.118     Document Type: Article
Times cited : (27)

References (8)
  • 2
    • 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
  • 3
    • 0002639758 scopus 로고
    • A local convergence theorem for the Super-Halley method in a Banach space
    • Chen D., Argyros I.K., and Qian Q.S. A local convergence theorem for the Super-Halley method in a Banach space. Appl. Math. Lett. 7 5 (1994) 49-52
    • (1994) Appl. Math. Lett. , vol.7 , Issue.5 , pp. 49-52
    • Chen, D.1    Argyros, I.K.2    Qian, Q.S.3
  • 5
    • 0347128378 scopus 로고    scopus 로고
    • Third-order methods from quadrature formulae for solving systems of nonlinear equations
    • Frontini M., and Sormani E. Third-order methods from quadrature formulae for solving systems of nonlinear equations. Appl. Math. Comput. 149 (2004) 771-782
    • (2004) Appl. Math. Comput. , vol.149 , pp. 771-782
    • Frontini, M.1    Sormani, E.2
  • 7
    • 0012466757 scopus 로고    scopus 로고
    • A variant of Newton's method with accelerated third-order convergence
    • Weerakoon S., and Fernando T.G.I. A variant of Newton's method with accelerated third-order convergence. Appl. Math. Lett. 13 (2000) 87-93
    • (2000) Appl. Math. Lett. , vol.13 , pp. 87-93
    • Weerakoon, S.1    Fernando, T.G.I.2
  • 8
    • 32144457008 scopus 로고    scopus 로고
    • An improvement to Ostrowski root-finding method
    • Grau M., and Di{dotless}́az-Barrero J.L. An improvement to Ostrowski root-finding method. Appl. Math. Comput. 173 (2006) 450-456
    • (2006) Appl. Math. Comput. , vol.173 , pp. 450-456
    • Grau, M.1    Díaz-Barrero, J.L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.