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Volumn 324, Issue 2, 2006, Pages 1084-1092

A two-step Steffensen's method under modified convergence conditions

Author keywords

Banach spaces; Convergence; Third order iterative methods

Indexed keywords


EID: 33749508998     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2005.12.078     Document Type: Article
Times cited : (43)

References (11)
  • 1
    • 0141796642 scopus 로고    scopus 로고
    • A modified secant method for semismooth equations
    • Amat S., and Busquier S. A modified secant method for semismooth equations. Appl. Math. Lett. 16 6 (2003) 877-881
    • (2003) Appl. Math. Lett. , vol.16 , Issue.6 , pp. 877-881
    • Amat, S.1    Busquier, S.2
  • 2
    • 0037420949 scopus 로고    scopus 로고
    • On a higher order secant method
    • Amat S., and Busquier S. On a higher order secant method. Appl. Math. Comput. 141 2-3 (2003) 321-329
    • (2003) Appl. Math. Comput. , vol.141 , Issue.2-3 , pp. 321-329
    • Amat, S.1    Busquier, S.2
  • 3
    • 0037114647 scopus 로고    scopus 로고
    • A class of quasi-Newton generalized Steffensen's methods on Banach spaces
    • Amat S., Busquier S., and Candela V.F. A class of quasi-Newton generalized Steffensen's methods on Banach spaces. J. Comput. Appl. Math. 149 2 (2002) 397-406
    • (2002) J. Comput. Appl. Math. , vol.149 , Issue.2 , pp. 397-406
    • Amat, S.1    Busquier, S.2    Candela, V.F.3
  • 4
    • 28244478959 scopus 로고    scopus 로고
    • On the local convergence of secant-type methods
    • Amat S., Busquier S., and Gutiérrez J.M. On the local convergence of secant-type methods. Int. J. Comput. Math. 81 9 (2004) 1153-1161
    • (2004) Int. J. Comput. Math. , vol.81 , Issue.9 , pp. 1153-1161
    • Amat, S.1    Busquier, S.2    Gutiérrez, J.M.3
  • 5
    • 33749525196 scopus 로고    scopus 로고
    • S. Amat, S. Busquier, J.M. Gutiérrez, An adaptive version of a fourth-order iterative method for quadratic equations, J. Comput. Appl. Math., in press; corrected proof available online 20 October 2005
  • 6
    • 33749512049 scopus 로고    scopus 로고
    • I.K. Argyros, J.M. Gutiérrez, A unified approach for enlarging the radius of convergence for Newton's method and applications, Nonlinear Funct. Anal. Appl., in press
  • 7
    • 0031064164 scopus 로고    scopus 로고
    • A family of Chebyshev-Halley type methods in Banach spaces
    • Gutiérrez J.M., and Hernández M.A. A family of Chebyshev-Halley type methods in Banach spaces. Bull. Austral. Math. Soc. 55 1 (1997) 113-130
    • (1997) Bull. Austral. Math. Soc. , vol.55 , Issue.1 , pp. 113-130
    • Gutiérrez, J.M.1    Hernández, M.A.2
  • 8
    • 0037113727 scopus 로고    scopus 로고
    • A uniparametric family of iterative processes for solving nondifferentiable equations
    • Hernández M.A., and Rubio M.J. A uniparametric family of iterative processes for solving nondifferentiable equations. J. Math. Anal. Appl. 275 2 (2002) 821-834
    • (2002) J. Math. Anal. Appl. , vol.275 , Issue.2 , pp. 821-834
    • Hernández, M.A.1    Rubio, M.J.2
  • 9
    • 0036681220 scopus 로고    scopus 로고
    • Semilocal convergence of the secant method under mild convergence conditions of differentiability
    • Hernández M.A., and Rubio M.J. Semilocal convergence of the secant method under mild convergence conditions of differentiability. Comput. Math. Appl. 44 3-4 (2002) 277-285
    • (2002) Comput. Math. Appl. , vol.44 , Issue.3-4 , pp. 277-285
    • Hernández, M.A.1    Rubio, M.J.2
  • 10
    • 0040195285 scopus 로고
    • Nondiscrete Induction and Iterative Processes
    • Pitman, Boston
    • Potra F.A., and Pták V. Nondiscrete Induction and Iterative Processes. Res. Notes Math. vol. 103 (1984), Pitman, Boston
    • (1984) Res. Notes Math. , vol.103
    • Potra, F.A.1    Pták, V.2
  • 11
    • 0021195508 scopus 로고
    • Newton-like methods for the computation of fixed points
    • Werner W. Newton-like methods for the computation of fixed points. Comput. Math. Appl. 10 1 (1984) 77-86
    • (1984) Comput. Math. Appl. , vol.10 , Issue.1 , pp. 77-86
    • Werner, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.