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Volumn 25, Issue 2, 2012, Pages 185-189

A new sixth-order scheme for nonlinear equations

Author keywords

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

Indexed keywords

NEWTON'S METHODS; ORDER OF CONVERGENCE; ROOT-FINDING METHODS;

EID: 80053202167     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aml.2011.08.012     Document Type: Article
Times cited : (33)

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    • A new two-step biparametric family of sixth-order iterative methods free from second derivatives for solving nonlinear algebraic equations
    • Y.I. Kim A new two-step biparametric family of sixth-order iterative methods free from second derivatives for solving nonlinear algebraic equations Appl. Math. Comput. 215 2010 3418 3424
    • (2010) Appl. Math. Comput. , vol.215 , pp. 3418-3424
    • Kim, Y.I.1
  • 5
    • 78751617180 scopus 로고    scopus 로고
    • Regarding the accuracy of optimal eighth-order methods
    • F. Soleymani Regarding the accuracy of optimal eighth-order methods Math. Comput. Modelling 53 2011 1351 1357
    • (2011) Math. Comput. Modelling , vol.53 , pp. 1351-1357
    • Soleymani, F.1
  • 6
    • 79551633645 scopus 로고    scopus 로고
    • Sixth order derivative free family of iterative methods
    • S.K. Khattri, and I.K. Argyros Sixth order derivative free family of iterative methods Appl. Math. Comput. 217 2011 5500 5507
    • (2011) Appl. Math. Comput. , vol.217 , pp. 5500-5507
    • Khattri, S.K.1    Argyros, I.K.2
  • 7
    • 0018295939 scopus 로고
    • A sixth order family of methods for nonlinear equations
    • B. Neta A sixth order family of methods for nonlinear equations Int. J. Comput. Math. 7 1979 157 161 (Pubitemid 9461361)
    • (1979) Int J Comput Math , vol.7 , Issue.2 , pp. 157-161
    • Neta, B.1
  • 8
    • 0012940554 scopus 로고
    • A family of fourth order methods for nonlinear equations
    • R.F. King A family of fourth order methods for nonlinear equations SIAM J. Numer. Anal. 10 1973 876 879
    • (1973) SIAM J. Numer. Anal. , vol.10 , pp. 876-879
    • King, R.F.1
  • 9
    • 0016115525 scopus 로고
    • Optimal order of one-point and multipoint iterations
    • H.T. Kung, and J.F. Traub Optimal order of one-point and multipoint iterations J. Assoc. Comput. Mach. 21 1974 643 651
    • (1974) J. Assoc. Comput. Mach. , vol.21 , pp. 643-651
    • Kung, H.T.1    Traub, J.F.2
  • 10
    • 0012466757 scopus 로고    scopus 로고
    • A variant of Newton's method with accelerated third-order convergence
    • S. Weerakoon, and G.I. Fernando 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
  • 11
    • 0004236729 scopus 로고
    • Several new schemes for solving equations
    • B. Neta Several new schemes for solving equations Int. J. Comput. Math. 23 1987 265 282
    • (1987) Int. J. Comput. Math. , vol.23 , pp. 265-282
    • Neta, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.