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Volumn 179, Issue 1, 2006, Pages 296-300

A uniparametric Chebyshev-type method free from second derivatives

Author keywords

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

Indexed keywords

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

EID: 33747352454     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2005.11.110     Document Type: Article
Times cited : (28)

References (11)
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  • 4
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    • 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
  • 5
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    • On Halley-type iterations with free second derivative
    • Ezquerro J.A., and Hernández M.A. On Halley-type iterations with free second derivative. J. Comput. Appl. Math. 170 (2004) 455-459
    • (2004) J. Comput. Appl. Math. , vol.170 , pp. 455-459
    • Ezquerro, J.A.1    Hernández, M.A.2
  • 6
    • 0041620161 scopus 로고    scopus 로고
    • Geometric constructions of iterative functions to solve nonlinear equations
    • Amat S., Busquier S., and Gutiérrez J.M. Geometric constructions of iterative functions to solve nonlinear equations. J. Comput. Appl. Math. 157 (2003) 197-205
    • (2003) J. Comput. Appl. Math. , vol.157 , pp. 197-205
    • Amat, S.1    Busquier, S.2    Gutiérrez, J.M.3
  • 7
    • 0034348365 scopus 로고    scopus 로고
    • Second-derivative-free variant of the Chebyshev method for nonlinear equations
    • Hernández M.A. Second-derivative-free variant of the Chebyshev method for nonlinear equations. J. Optim. Theory Appl. 104 3 (2000) 501-515
    • (2000) J. Optim. Theory Appl. , vol.104 , Issue.3 , pp. 501-515
    • Hernández, M.A.1
  • 8
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    • J.S. Kou, Y.T. Li, X.H. Wang, On modified Newton methods with cubic convergence, Appl. Math. Comput., in press, doi:10.1016/j.amc.2005.09.052.
  • 9
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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
  • 10
    • 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
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.