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Volumn 53, Issue 6, 2007, Pages 972-976

A geometric construction of iterative functions of order three to solve nonlinear equations

Author keywords

Iteration function; Iterative methods; Newton's method; Nonlinear equations; Order of convergence; Root finding

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; ITERATIVE METHODS; NEWTON-RAPHSON METHOD; NUMERICAL ANALYSIS; PROBLEM SOLVING;

EID: 34248226935     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2007.01.007     Document Type: Article
Times cited : (12)

References (11)
  • 2
    • 0012466757 scopus 로고    scopus 로고
    • A variant of Newton's method with accelerated third-order convergence
    • Weerakoon S., and Fernando G.I. A variant of Newton's method with accelerated third-order convergence. Appl. Math. Lett. 17 (2000) 87-93
    • (2000) Appl. Math. Lett. , vol.17 , pp. 87-93
    • Weerakoon, S.1    Fernando, 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. J. Comput. Appl. Math. 140 (2003) 419-426
    • (2003) J. Comput. Appl. Math. , vol.140 , pp. 419-426
    • Frontini, M.1    Sormani, E.2
  • 4
    • 3042514633 scopus 로고    scopus 로고
    • A modified Newton method for root finding with cubic convergence
    • Homeier H.H.H. A modified Newton method for root finding 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
  • 5
    • 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
  • 6
    • 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
  • 9
    • 33750481880 scopus 로고    scopus 로고
    • A modification of Newton method with third-order convergence
    • Kou J., Li Y., and Wang X. A modification of Newton method with third-order convergence. Appl. Math. Comput. 181 (2006) 1106-1111
    • (2006) Appl. Math. Comput. , vol.181 , pp. 1106-1111
    • Kou, J.1    Li, Y.2    Wang, X.3
  • 10
    • 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
  • 11
    • 20444448078 scopus 로고    scopus 로고
    • On a class of quadratically convergent iteration formulae
    • Mamta, Kanwar V., Kukreja V.K., and Singh S. On a class of quadratically convergent iteration formulae. Appl. Math. Comput. 166 (2005) 633-637
    • (2005) Appl. Math. Comput. , vol.166 , pp. 633-637
    • Mamta1    Kanwar, V.2    Kukreja, V.K.3    Singh, S.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.