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Volumn 209, Issue 2, 2007, Pages 146-152

Some modifications of Newton's method with fifth-order convergence

Author keywords

Iterative method; Newton's method; Non linear equations; Root finding

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; NONLINEAR EQUATIONS;

EID: 34548448847     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2006.10.072     Document Type: Article
Times cited : (36)

References (11)
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    • Frontini, M.1    Sormani, E.2
  • 2
    • 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
  • 3
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    • 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
  • 5
    • 29544450533 scopus 로고    scopus 로고
    • An improvement of the Euler-Chebyshev iterative method
    • Grau M., and Díaz-Barrero J.L. An improvement of the Euler-Chebyshev iterative method. J. Math. Anal. Appl. 315 (2006) 1-7
    • (2006) J. Math. Anal. Appl. , vol.315 , pp. 1-7
    • Grau, M.1    Díaz-Barrero, J.L.2
  • 6
    • 3042514633 scopus 로고    scopus 로고
    • A modified Newton method for rootfinding with cubic convergence
    • Homeier H.H.H. A modified Newton method for rootfinding with cubic convergence. J. Comput. Appl. Math. 157 (2003) 227-230
    • (2003) J. Comput. Appl. Math. , vol.157 , pp. 227-230
    • Homeier, H.H.H.1
  • 7
    • 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
  • 8
    • 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
  • 10
    • 14544290341 scopus 로고    scopus 로고
    • Some new variants of Newton's method
    • Özban A.Y. Some new variants of Newton's method. Appl. Math. Lett. 17 (2004) 677-682
    • (2004) Appl. Math. Lett. , vol.17 , pp. 677-682
    • Özban, A.Y.1
  • 11
    • 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
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.