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Volumn 176, Issue 1, 2006, Pages 123-127

On modified Newton methods with cubic convergence

Author keywords

Iterative method; Newton method; Non linear equations; Root finding; Third order convergence

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; ITERATIVE METHODS; NONLINEAR EQUATIONS; PROBLEM SOLVING;

EID: 33646141157     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2005.09.052     Document Type: Article
Times cited : (28)

References (11)
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    • Weerakoom, S.1    Fernando, T.G.I.2
  • 3
    • 0037431566 scopus 로고    scopus 로고
    • Some variants of Newton's method with third-order convergence
    • Frontini M., and Sormani E. Some variants of Newton's method with third-order convergence. Appl. Math. Comput. 140 (2003) 419-426
    • (2003) Appl. Math. Comput. , vol.140 , pp. 419-426
    • Frontini, M.1    Sormani, E.2
  • 4
    • 0041840554 scopus 로고    scopus 로고
    • Modified Newton's method with third-order convergence and multiple roots
    • Frontini M., and Sormani E. 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
  • 5
    • 3042689875 scopus 로고    scopus 로고
    • A modified Newton method with cubic convergence: the multivariate case
    • Homeier H.H.H. A modified Newton method with cubic convergence: the multivariate case. J. Comput. Appl. Math. 169 (2004) 161-169
    • (2004) J. Comput. Appl. Math. , vol.169 , pp. 161-169
    • Homeier, H.H.H.1
  • 6
    • 11244299419 scopus 로고    scopus 로고
    • On Newton-type methods with cubic convergence
    • Homeier H.H.H. 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
  • 7
    • 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
  • 8
    • 0004787739 scopus 로고    scopus 로고
    • A new continuation Newton-like method and its deformation
    • Wu X.Y. A new continuation Newton-like method and its deformation. Appl. Math. Comput. 112 (2000) 75-78
    • (2000) Appl. Math. Comput. , vol.112 , pp. 75-78
    • Wu, X.Y.1
  • 9
    • 33644606984 scopus 로고    scopus 로고
    • J.S. Kou, Y.T. Li, X.H. Wang, Efficient continuation Newton-like method for solving systems of non-linear equations, Appl. Math. Comput., in press, doi:10.1016/j.amc.2005.05.031.
  • 10
    • 3042616176 scopus 로고    scopus 로고
    • A uniparametric Halley-type iteration with free second derivative
    • Ezquerro J.A., and Hernández M.A. A uniparametric Halley-type iteration with free second derivative. Int. J. Pure Appl. Math. 6 1 (2003) 103-114
    • (2003) Int. J. Pure Appl. Math. , vol.6 , Issue.1 , pp. 103-114
    • Ezquerro, J.A.1    Hernández, M.A.2
  • 11
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    • A note on the Halley method in Banach spaces
    • Argyros I.K. A note on the Halley method in Banach spaces. Appl. Math. Comput. 58 (1993) 215-224
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    • Argyros, I.K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.